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Industry Cluster: Sensors Title of PBL/Inquiry Unit: Egg-Stravaganza Vehicle Grade Level: Academic Content Area(s): Topic(s): 8th or 9th Science & Math Force, Motion, Engineering Design Process, Measurement, Build a product with 2 constraints, Data Collecting and Interpreting MAIN PROBLEM/ESSENTIAL QUESTION: Design a vehicle to protect an occupant (raw egg) as it accelerates down a ramp, travels along a horizontal surface, and impacts with a rigid wall. BIG IDEA(S): An object at rest or moving with uniform motion on a horizontal surface either has no horizontal forces acting on it or has balanced horizontal forces acting on it. Vertically the object has balanced forces: the force of gravity pulling it downward and the force of the surface it is resting on pushing it upward with the same magnitude. An object on an inclined ramp now has horizontal forces acting on it. The force of gravity is broken down into components, one acting perpendicular to the inclined ramp and one acting parallel to the inclined ramp. The component of the force of gravity that is parallel to the inclined ramp causes the object (vehicle in this case) to move down the ramp, if that component is greater than the force of friction between the object and the surface of the ramp. If the object does not move down the ramp, then the component of the force of gravity that is parallel to the inclined ramp is balanced by the force of friction between the object and the surface of the ramp. Speed represents the rate at which distance is covered. Uniform motion is very rare in the real world. Most motion involves some form of acceleration because everything must start and stop. Velocity is different from speed in that it includes direction but it also is calculated using displacement instead of distance. Displacement is how far your ending point is from your point of origin. Acceleration is defined as a change in velocity, not just a change in speed. The most common conceptualization of acceleration is speeding up. A decrease in speed is negative acceleration (lay people will call this deceleration). The most uncommon form of acceleration is a change in direction only (i.e. centripetal acceleration). If acceleration is defined as a change in velocity and velocity includes direction, then a change in direction is a change in velocity and therefore is acceleration. Momentum is a moving inertia and can be defined as the objects mass multiplied by its velocity. Newton's First Law states that an object will remain at rest or in uniform motion in a Draft - 1/26/2009 1 straight line unless acted upon by an external force. Any change in motion involves acceleration, and then Newton's Second Law applies; in fact, the First Law is just a special case of the Second Law for which the net external force is zero. Newton’s Second Law states than when a non-zero net external force acts on an object, the motion of the object will change. Stated in equation form, Fnet = ma. Newton's third law: All forces in the universe occur in equal but oppositely directed pairs. FOCUS QUESTIONS: 8th Grade 1. Describe the forces acting on the occupant(s) when the vehicle is at rest on a horizontal surface, while it is traveling at a uniform speed along the horizontal surface (neglecting friction), and when the vehicle comes to rest after the crash. Draw diagrams to explain each situation. When the vehicle is at rest on a horizontal surface, there are F of seat two forces acting on the Diagram 1 on occupant occupants: gravitational force acting downward and an equal and opposite force acting upward from the seat of the Occupant vehicle (refer to Diagram 1). When the vehicle is moving at a uniform speed along the horizontal surface, there are two additional forces acting on the occupants, one acting in the F of gravity direction of motion and the on occupant other in the opposite direction of motion which is friction between the occupant and the seat (refer to Diagram 2). When the vehicle comes to rest after the crash, the same forces are acting on it as before it began to move: the gravitational force and the upward (normal) force (refer back to Diagram 1). 2. Describe the force that causes a vehicle on a steep hill to begin to roll down the hill. Use diagrams in your explanation. The force that causes the vehicle to roll down the hill is a component of the force of gravity acting on the vehicle. The full force of gravity (perpendicular to the Earth) acting on the vehicle is separated into two components, one perpendicular to the hill, the other parallel to the hill. In Diagram 2 it is labeled as the Force “of gravity pulling vehicle down hill”. Draft - 1/26/2009 2 F of hill on vehicle F of hill Diagram 2 on vehicle (perpendicular) F of friction on vehicle HILL Vehicle F of gravity pulling vehicle down hill F of gravity on vehicle (perpendicular) F of gravity on vehicle θ 3. Explain why the force you described in Question #2 is able to set the vehicle in motion down the hill. The force pulling the vehicle down the hill is greater than the force of friction holding the vehicle in place on the hill. Therefore the forces are unbalanced and the vehicle is able to move in the direction of the larger force. 4. How do the speed, acceleration, velocity, and momentum affect an occupant before, during, and after a car crash (car is traveling at a constant speed in a straight line and then impacts with a stationary object)? Since speed, velocity, acceleration, and momentum are all related to the motion of an object, they all affect the occupant of a vehicle before during and after a crash. The speed and velocity of the occupant before the crash are the same as that of the vehicle, both are constant and numerically equal to each other. Also, both the vehicle and the occupant have zero acceleration before the crash because the vehicle has a constant speed in straight line motion (ignoring friction). The occupant has a specific momentum based on his/her mass and velocity. During the crash, the speed and velocity of the occupant are rapidly decreasing due to a large negative acceleration (refer to second motion diagram in Question # 10). The momentum of the occupant is the reason (s)he has the tendency to continue on the original path of motion. The outside force of the stationary object (wall) changed the momentum of the vehicle, causing it to accelerate negatively and stop, but there needs to be an outside force acting on the occupant to change his/her momentum. This outside force could be a seat belt, a windshield, or the pavement. This is why we wear seat belts, it is the wisest choice! After the crash, the speed and velocity of the occupant have been reduced to zero by the negative acceleration that resulted from the seat belt. The acceleration is also zero because the occupant is at rest. Since the occupant now has zero velocity, his/her momentum is also zero. Draft - 1/26/2009 3 5. If the same force is applied to 2 objects with different masses, how will the objects accelerate? The object with the smaller mass will have a larger acceleration than the object with the greater mass if the same force is applied to both. We know this from experience: if you try to pull or push a wagon or wheelbarrow that is empty vs. one that is fully loaded, you know that it requires more force from you to move the one that is fully loaded. 6. According to the following data table, which vehicle has more momentum? Explain your answer. Object mass velocity Car 1500 kg -20 m/s (west) Truck 2500kg +2 m/s (east) SUV 1900 kg +8.5 m/s (north) Car = (1500kg)(-20m/s) = -30,000kgm/s (west) Truck = (2500kg)(+2m/s) = +5,000kgm/s (east) SUV = (1900kg)(+8.5m/s) = +16,150kgm/s (north) The car has the largest momentum because it’s mass and velocity combined yield the greatest numeric value. The direction (positive or negative) does not indicate a larger or smaller value, just the direction of travel. 7. Use a Venn diagram to compare and contrast speed with velocity. SPEED VELOCITY uses distance uses displacement elapsed time scalar quantity includes direction vector quantity 8. Draw a motion diagram of you standing in the aisle of the school bus that is a accelerating forward. v v v v v Draft - 1/26/2009 4 Then draw a motion diagram of you on the same bus when the bus driver slams on a the brakes. v v v v v 9. Explain how the Engineering Design Process is similar to the scientific method. The EDP is a cyclic process that usually includes the following steps: identify a need or problem; research the need or problem; develop possible solutions; select the best possible solution; construct a prototype; test/evaluate; communicate results; redesign to improve. The scientific method is a more rigid linear process that includes the following steps: ask a question; do background research; form a hypothesis; test the hypothesis, analyze data; draw conclusions; communicate results. The main difference between the two processes is the opportunity to improve or redesign your product (or process). Engineers value failure as part of the learning process whereas scientists sometimes hide their failures and move to a new project. FOCUS QUESTIONS: 9th Grade 1. Describe the forces acting on the occupant(s) before the vehicle starts moving, while it is traveling down the ramp, and when the vehicle comes to rest after the crash. Draw force diagrams to explain each situation. Before the vehicle starts moving, there are two forces acting on the occupants: gravitational force is acting downward and an equal and opposite force is acting upward from the seat of the vehicle (refer to Diagram 1). Once the vehicle begins to move down the ramp, there are two additional forces acting on the occupants, both parallel to the ramp, one acting in the same direction of motion which is a component of the weight of the occupant that is parallel to the ramp, and the other in the opposite direction of motion which is friction between the occupant and the seat (refer to Diagram 2). When the vehicle comes to rest after the crash, the same forces are acting on it as before it began to move: the gravitational force F of vehicle and the upward (normal) force (refer back to Diagram 1). on occupant Diagram 1 It is important to note that the two forces act perpendicular to the ground, not RAMP to the occupant. Gravitational force always acts perpendicular to the Earth. The two forces can be separated into their x- and y-components on an axis that aligns with the ramp. This will allow you to determine the forces that are perpendicular to the occupant, if necessary. Draft - 1/26/2009 θ Occupant θ F of gravity on occupant θ 5 F of seat on occupant of friction on occupant F Diagram12 Diagram θ F ofonseat occupant RAMP (perpendicular) Occupant F of gravity θ on occupant (perpendicular) F of gravity pulling occupant down ramp F of gravity on occupant Note that the two forces acting parallel to the ramp can be translated such that they originate from the center of the occupant. This makes it easier for the students to see how one makes the occupant move down the ramp and the other resists that motion. Once the red vector is separated into its x- and y-components, it can be removed from the diagram (refer to Diagram 3). θ F of seat Diagram 3 F of friction on occupant (perpendicular) on occupant RAMP Occupant F of gravity pulling occupant down ramp F of gravity on occupant (perpendicular) θ 2. How do the speed, acceleration, velocity, and momentum affect an occupant before, during, and after a car crash (car is traveling at a constant speed in a straight line and then impacts with a stationary object)? Since speed, velocity, acceleration, and momentum are all related to the motion of an object, they all affect the occupant of a vehicle before during and after a crash. The speed and velocity of the occupant before the crash are the same as that of the vehicle, both are constant and numerically equal to each other. Also, both the vehicle and the occupant have zero acceleration before the crash because the vehicle has a constant speed in straight line motion (ignoring friction). The occupant has a specific momentum based on his/her mass and velocity. During the crash, the speed and velocity of the occupant are rapidly decreasing due to a large negative acceleration (refer to second motion diagram in Question # 10). The momentum of the occupant is the reason (s)he has the tendency to continue on the original path of motion. The outside force of the stationary object (wall) changed the momentum of the vehicle, causing it to accelerate negatively and stop, but there needs to be an outside force Draft - 1/26/2009 6 acting on the occupant to change his/her momentum. This outside force could be a seat belt, a windshield, or the pavement. This is why we wear seat belts, it is the wisest choice! After the crash, the speed and velocity of the occupant have been reduced to zero by the negative acceleration that resulted from the seat belt. The acceleration is also zero because the occupant is at rest. Since the occupant now has zero velocity, his/her momentum is also zero. 3. If the same force is applied to 2 objects with different masses, how will the objects accelerate? The object with the smaller mass will have a larger acceleration than the object with the greater mass if the same force is applied to both. We know this from experience as well as from Newton’s 2nd Law: a m = F = a m From experience, if you try to pull or push a wagon or wheelbarrow that is empty vs. one that is fully loaded, you know that it requires more force from you to move the one that is fully loaded. 4. Draw an example of Newton’s First Law you see in the classroom and explain. Answers will vary. Example: Student sitting in a desk – a body at rest will remain at rest until an outside force acts on it to set it in motion. 5. Write an example of Newton’s Second Law and explain. Answers will vary. Example: When I kick the soccer ball, it accelerates in the same direction of the force I exert on it. If I were to kick a bowling ball (greater mass than soccer ball) with the same force (ouch!), it would have a smaller acceleration. 6. Give an example of Newton’s third Law that you experienced today. Answers will vary. Example: When I sat on the seat I exerted a downward force on it and it exerted an upward force on my butt so I did not crash through the seat and fall to the floor. 7. According to the following data table, which object has more momentum? Explain your answer. Object mass velocity Car 1500 kg -20 m/s (west) Truck 2500kg +2 m/s (east) SUV 1900 kg +8.5 m/s (north) Car = (1500kg)(-20m/s) = -30,000kgm/s (west) Truck = (2500kg)(+2m/s) = +5,000kgm/s (east) SUV = (1900kg)(+8.5m/s) = +16,150kgm/s (north) The car has the largest momentum because it’s mass and velocity combined yield the greatest numeric value. The direction (positive or negative) does not indicate a larger or smaller value, just the direction of travel. Draft - 1/26/2009 7 8. Draw a speed vs. time graph of a car accelerating down a hill, then moving on level ground, and finally coming to a stop. v t 9. Imagine you are on a planet that has no gravity and you throw a softball. Use Newton’s First Law of Motion to describe what would happen. Because there is no gravity, the softball would move in the direction I threw it and I would move in the opposite direction. Our momenta would be equal, but the softball would have a greater velocity because it has a smaller mass than I do. 10. Use a Venn diagram to compare and contrast speed with velocity. SPEED VELOCITY uses distance uses displacement elapsed time scalar quantity includes direction vector quantity 11. Draw a motion diagram of you standing in the aisle of the school bus that is a accelerating forward. v v v v v Draft - 1/26/2009 8 Then draw a motion diagram of you on the same bus when the bus driver slams on a the brakes. v v v v v 12. Explain how the Engineering Design Process is similar to the scientific method. The EDP is a cyclic process that usually includes the following steps: identify a need or problem; research the need or problem; develop possible solutions; select the best possible solution; construct a prototype; test/evaluate; communicate results; redesign to improve. The scientific method is a more rigid linear process that includes the following steps: ask a question; do background research; form a hypothesis; test the hypothesis, analyze data; draw conclusions; communicate results. The main difference between the two processes is the opportunity to improve or redesign your product (or process). Engineers value failure as part of the learning process whereas scientists sometimes hide their failures and move to a new project. PREREQUISITE KNOWLEDGE: 1. How to conduct a laboratory experiment and collect data. 2. How to read a meter stick with the correct precision. 3. How to use a stopwatch. 4. How to using timing sensors (photo gates) if available. 5. 6. 7. 8. Understand the basics about speed, velocity, and acceleration, only if activity is being used as an assessment tool. How to do a motion drawing, only if activity is being used as an assessment tool. What a force is and how it acts on an object, only if activity is being used as an assessment tool. How to draw a force diagram, only if activity is being used as an assessment tool. STANDARDS CONNECTIONS: Content Area: Science Physical Sciences Benchmark – Grades 6-8 B. In simple cases, describe the motion of objects and conceptually describe the effects of forces on an object. 1. Describe how the change in the position (motion) of an object is always judged and described in comparison to a reference point. 2. Explain that motion describes the change in the position of an object as time 8 changes. 3. Explain that unbalanced force acting on an object changes that object’s speed and direction. Science & Technology Inquiry Benchmark – Grades 6-8 Draft - 1/26/2009 9 B. Design a solution or product taking into account needs and constraints (e.g., cost, time, trade-offs, properties of materials, safety and aesthetics). 3. Design and build a product or create a solution to a problem given more than 8 two constraints. 4. Evaluate the overall effectiveness of a product design or solution Scientific Inquiry Benchmark – Grades 6-8 A. Explain that there are differing sets of procedures for guiding scientific investigations and procedures are determined by the nature of the investigation, safety considerations and appropriate tools. 1. Choose the appropriate tools or instruments and use relevant safety 8 procedures to complete scientific investigations. Scientific Inquiry Benchmark – Grades 6-8 B. Analyze and interpret data from scientific investigations using appropriate mathematical skills in order to draw valid conclusions. 3. Read, construct and interpret data in various forms produced by self and others in both written and oral forms. 8 4. Apply appropriate math skills to interpret quantitative data (e.g., mean, median and mode). Scientific Ways of Knowing Benchmark – Grades 6-8 A. Use skills of scientific inquiry processes (e.g., hypothesis, record keeping, description and explanation). 1. Identify the difference between description (e.g., observation and summary) 8 and explanation (e.g., inference, prediction, significance and importance). Physical Sciences Benchmark – Grades 9-10 D. Explain the movement of objects by applying Newton's three laws of motion. 21. Demonstrate that motion is a measurable quantity that depends on the observer's frame of reference and describe the object's motion in terms of position, velocity, acceleration and time. 22. Demonstrate that any object does not accelerate (remains at rest or maintains a constant speed and direction of motion) unless an unbalanced (net) force acts on it. 23. Explain the change in motion (acceleration) of an object. Demonstrate that the acceleration is proportional to the net force acting on the object and 9 inversely proportional to the mass of the object. (Fnet = ma. Note that weight is the gravitational force on a mass.) 24. Demonstrate that whenever one object exerts a force on another, an equal amount of force is exerted back on the first object. 25. Demonstrate the ways in which frictional forces constrain the motion of objects (e.g., a car traveling around a curve, a block on an inclined plane, a person running, an airplane in flight). Science & Technology Benchmark – Grades 9-10 B. Explain that science and technology are interdependent; each drives the other. Draft - 1/26/2009 10 2. Identify a problem or need, propose designs and choose among alternative solutions for the problem. 9 3. Explain why a design should be continually assessed and the ideas of the design should be tested, adapted and refined. Scientific Inquiry Benchmark – Grades 9-10 A. Participate in and apply the processes of scientific investigation to create models and to design, conduct, evaluate and communicate the results of these investigations. 2. Research and apply appropriate safety precautions when designing and conducting scientific investigations (e.g., OSHA, Material Safety Data Sheets [MSDS], eyewash, goggles and ventilation). 3. Construct, interpret and apply physical and conceptual models that represent or explain systems, objects, events or concepts. 4. Decide what degree of precision based on the data is adequate and round 9 off the results of calculator operations to the proper number of significant figures to reasonably reflect those of the inputs. 5. Develop oral and written presentations using clear language, accurate data, appropriate graphs, tables, maps and available technology. 6. Draw logical conclusions based on scientific knowledge and evidence from investigations. Scientific Ways of Knowing Benchmark – Grades 9-10 A. Explain that scientific knowledge must be based on evidence, be predictive, logical, subject to modification and limited to the natural world. 3. Demonstrate that reliable scientific evidence improves the ability of scientists 9 to offer accurate predictions. Scientific Ways of Knowing Benchmark – Grades 9-10 D. Recognize that scientific literacy is part of being a knowledgeable citizen. 9. Investigate how the knowledge, skills and interests learned in science classes 9 apply to the careers students plan to pursue. Content Area: Mathematics Measurement Standard Students estimate and measure to a required degree of accuracy and precision by selecting and using appropriate units, tools and technologies. 6. Solve and determine the reasonableness of the results for problems involving rates and derived measurements, such as velocity and density, using 8 formulas, models and graphs. 7. Apply proportional reasoning to solve problems involving indirect measurements or rates. Patterns, Functions and Algebra Standard Students use patterns, relations and functions to model, represent and analyze problem situations that involve variable quantities. Students analyze, model and solve problems using various representations such as tables, graphs and equations. Draft - 1/26/2009 11 1. Relate the various representations of a relationship; i.e., relate a table to graph, description and symbolic form. 3. Identify functions as linear or nonlinear based on information given in a table, graph or equation. 6. Describe the relationship between the graph of a line and its equation, 8 including being able to explain the meaning of slope as a constant rate of change and y-intercept in real-world problems. 7. Use symbolic algebra (equations and inequalities), graphs and tables to represent situations and solve problems. 8. Write, simplify and evaluate algebraic expressions (including formulas) to generalize situations and solve problems. Data Analysis and Probability Standard Students pose questions and collect, organize, represent, interpret and analyze data to answer those questions. Students develop and evaluate inferences, predictions and arguments that are based on data. 2. Use unit analysis to check computations involving measurement. 8 5. Solve problems involving unit conversion for situations involving distances, areas, volumes and rates within the same measurement system. Measurement Standard Students estimate and measure to a required degree of accuracy and precision by selecting and using appropriate units, tools and technologies. 2. Use unit analysis to check computations involving measurement. 9 5. Solve problems involving unit conversion for situations involving distances, areas, volumes and rates within the same measurement system. Patterns, Functions and Algebra Standard Students use patterns, relations and functions to model, represent and analyze problem situations that involve variable quantities. Students analyze, model and solve problems using various representations such as tables, graphs and equations. 3. Describe problem situations (linear, quadratic and exponential) by using tabular, graphical and symbolic representations. 14. Describe the relationship between slope and the graph of a direct variation 9 and inverse variation. 15. Describe how a change in the value of a constant in a linear or quadratic equation affects the related graphs. 8-10 Mathematical Processes A. Formulate a problem or mathematical model in response to a specific need or situation, determine information required to solve the problem, choose method for obtaining this information, and set limits for acceptable solution. B. Apply mathematical knowledge and skills routinely in other content areas and practical situations. Summary: This activity gives the students an opportunity to use the Engineering Design Process to make their own cars and explore how speed, velocity, acceleration, momentum, and Draft - 1/26/2009 12 forces relate to a car’s occupant(s). This activity can be an end of the unit activity/lab assessment that provides students the opportunity to demonstrate their knowledge and comprehension of the properties of motion and a basic understanding of Newton’s Laws of Motion. This activity could also be used to introduce students to the concepts of forces, speed, velocity, acceleration, momentum, and Newton’s Laws of Motion. One specific aspect of this activity is to explore photo-gate sensor versus stopwatches in measuring motion. TECHNOLOGY CONNECTION Technology will involve using sensor motion timers and photo gates vs. stopwatches. A radar gun may be used to identify speed vs. mathematically calculating speed. Students will then compare the higher technology to lower technology data collecting methods to see which gives them better data to analyze. Guest Speakers could bePolice to demonstrate and talk about a radar gun that determines speed. Engineers to talk about the engineering design process. An automotive engineer to talk about how a car is designed. A safety engineer to talk about the use of crash dummies and computer sensors to test car safety. Integration Model Application Description A Technology that supports students and Computer can be used to read teachers in adjusting, adapting, or textbook section to student. augmenting teaching and learning to meet the needs of individual learners or groups of learners D Technology that supports students and Motion photo gates will be set up on a teachers in dealing effectively with track to measure the car’s time data, including data management, down the ramp. This data will be manipulation, and display used to do calculations and graphs later in the lab. Stopwatches will also be used as a comparison for which device is more accurate at measuring. I Technology that supports students and Research can be done on how car teachers in conducting inquiry, including companies safety test their cars and the effective use of Internet research also no statistic of teenage drivers methods and car crashes. S Technology that supports students and Engineering design process to build car teachers in simulating real world designs. phenomena including the modeling of Car ramps and photo gate hook ups physical, social, economic, and simulate car safety testing. mathematical relationships Graphing will be done on a spreadsheet computer program and Draft - 1/26/2009 13 C will show relationship between distance and time, mass of car and speed. Graphing will be done on a spreadsheet computer program. PowerPoint Presentation of lab report and results Technology that supports students and teachers in communicating and collaborating including the effective use of multimedia tools and online collaboration Interdisciplinary Connection: Computer skills will be used during graphing and research. Language Arts skills will be used when interpreting and reporting data, as well as when answering questions. Home Connection: Assign ‘Parent Check Points’ along the way – parents must check over students work, write a comment, and sign work. Differentiated Instruction: The questions at the end of the lab are written using different levels of Blooms Taxonomy – not all questions have to be graded. Pick questions to grade that are at different students levels. Overview: Student teams will design and construct the safest yet fastest vehicle possible given specific criteria/constraints: Student teams will collect qualitative and quantitative data as they explore how speed, velocity, acceleration, mass, inertia, momentum, and Newton’s three laws of motion are factors engineers must use to design safe vehicles. Teams will evaluate their original design and make modification(s) to improve the vehicle. Students will communicate, (written, mathematically and verbally) their understanding of motion and how this activity relates to the real world, their lives, and the principles of force & motion. Preparation for activity: Lab Set Up1. Set up ramp, photo gates, and rigid wall at bottom of the ramp. Cinder blocks work well as the wall. It is a good idea to tape plastic garbage bags under ramp to avoid a messy floor and for easier clean up in the end. 2. Copies of all handouts need to be made. 3. Materials for car bodies and wheels & axles need to be purchased. You can purchase car bodies with or with out wheels OR you can use Styrofoam meat trays for car body (must all be same size), old/used CDs work well as wheels and dowel rods work good as axles. Precut dowel rods. 4. Other supplies that teacher may or may not want to supply; hot glue guns, masking tape, egg cartons, car body building materials. Students can supply car building material if you give them advanced warning. Draft - 1/26/2009 14 Critical Vocabulary: Engineering Design Process – a cyclic process that usually includes the following steps: identify a need or problem; research the need or problem; develop possible solutions; select the best possible solution; construct a prototype; test/evaluate; communicate results; redesign to improve. Force - any influence which tends to change the motion of an object; a push or a pull Motion Diagram - represents the motion of an object by displaying its location at various equally spaced times on the same diagram. Motion diagrams are a pictorial description of an object in motion. They show an object's position and velocity at the start, end, and several spots in the middle, along with acceleration (if any). Speed - defined as the total distance traveled divided by the time elapsed while traveling that distance Velocity - defined as the total displacement divided by the time elapsed during travel Acceleration - defined as the change in velocity and this can mean three different possibilities: increasing speed, decreasing speed, or changing direction. The most common perception of acceleration is increasing speed. Acceleration is caused by unbalanced forces. Momentum - defined as the object’s mass multiplied by its velocity Newton’s Laws of Motion – describe the effects of forces on objects Gravity – one of the four fundamental forces of nature. The term gravity should never be used alone; it should always be used with either force or acceleration. Gravitational force is the force the Earth exerts on any object with mass. Gravitational acceleration is the result of that gravitational force if it is unbalanced. Timeframe: Based on 43 minute periods Day Time Allotment Activities 1 1 period Introduce Project – handout – Egg-Stravaganza Vehicle & Grade Sheet. Show Students the track and timers. 2 1 period Introduce Engineering Design Process 3 1 period Put students into teams & fill out paper work. Students start design. 4-7 1 period Students work on Car #1 design, testing, and collecting data. 8-10 1 period Students modify Car #1 design to make Car #2 design. Testing and collecting data. 11-12 1 period Student does data analysis, answer questions, and organizing lab report. Materials & Equipment: Students will record all information in their Science Lab Notebook. Car bases- (preassembled bases or parts to make base can be found at Kelvin.com or you can use CD wheels and Styrofoam trays as the car bodies) Crash ramp - (can make your own or can be found at Kelvin.com) Motion timers or Stop watches Draft - 1/26/2009 15 Impact brick wall - 2 cinder blocks work well. Eggs, plastic bags, egg cartons, and practice clay eggs. Other building materials - Cardboard, Styrofoam, bubble wrap, plastic, and any building materials students can bring in. (For safety reasons do not allow metal, glass, liquids, or any material that may hurt the students or track.) NOTE: Given advanced warning students can provide these materials. Building Tools - Tape, hot glue gun, masking tape, electrical tape, craft knife, and other items to build with. Triple beam balance Safety & Disposal: If you want, eggs can be put into zip lock bags to be tested – that way if the egg breaks you toss out the bag with the mess contained. (I have found it better to not use bags and have students responsible for their own egg clean up, this tends to keep them highly focused because they do not want to clean up a raw egg mess). Eggs can be thrown out in the trash and egg cars can be dismantled if on Kelvin bases or if students use Styrofoam trays they can take them home. Floor can be come slippery with cracked eggs and then water for clean up. Pre-Test: Grade Level: 8th 1. Describe the forces acting on the occupant(s) when the vehicle is at rest on a horizontal surface, while it is traveling at a uniform speed along the horizontal surface (neglecting friction), and when the vehicle comes to rest after the crash. Draw diagrams to explain each situation. When the vehicle is at rest on a horizontal surface, there are two forces acting on the Diagram 1 on occupant occupants: gravitational force acting downward and an equal and opposite force acting upward from the seat of the Occupant vehicle (refer to Diagram 1). When the vehicle is moving at a uniform speed along the horizontal surface, there are two additional forces acting on the occupants, one acting in the F of gravity direction of motion and the on occupant other in the opposite direction of motion which is friction between the occupant and the seat (refer to Diagram 2). When the vehicle comes to rest after the crash, the same forces are acting on it as before it began to move: the gravitational force and the upward (normal) force (refer back to Diagram 1). F of seat Draft - 1/26/2009 16 2. Describe the force that causes a vehicle on a steep hill to begin to roll down the hill. Use diagrams in your explanation. The force that causes the vehicle to roll down the hill is a component of the force of gravity acting on the vehicle. The full force of gravity (perpendicular to the Earth) acting on the vehicle is separated into two components, one perpendicular to the hill, the other parallel to the hill. In Diagram 2 it is labeled as the Force “of gravity pulling vehicle down hill”. F of hill on vehicle F of hill Diagram 2 on vehicle (perpendicular) F of friction on vehicle HILL Vehicle F of gravity pulling vehicle down hill F of gravity on vehicle (perpendicular) F of gravity on vehicle θ 3. Explain why the force you described in Question #2 is able to set the vehicle in motion down the hill. The force pulling the vehicle down the hill is greater than the force of friction holding the vehicle in place on the hill. Therefore the forces are unbalanced and the vehicle is able to move in the direction of the larger force. 4. How do the speed, acceleration, velocity, and momentum affect an occupant before, during, and after a car crash (car is traveling at a constant speed in a straight line and then impacts with a stationary object)? Since speed, velocity, acceleration, and momentum are all related to the motion of an object, they all affect the occupant of a vehicle before during and after a crash. The speed and velocity of the occupant before the crash are the same as that of the vehicle, both are constant and numerically equal to each other. Also, both the vehicle and the occupant have zero acceleration before the crash because the vehicle has a constant speed in straight line motion (ignoring friction). The occupant has a specific momentum based on his/her mass and velocity. During the crash, the speed and velocity of the occupant are rapidly decreasing due to a large negative acceleration (refer to second motion diagram in Question # 10). The momentum of the occupant is the reason (s)he has the tendency to continue on the original path of motion. The outside force of the stationary object (wall) changed the momentum of the vehicle, causing it to accelerate negatively and stop, but there needs to be an outside force acting on the occupant to change his/her momentum. This outside force could be a Draft - 1/26/2009 17 seat belt, a windshield, or the pavement. This is why we wear seat belts, it is the wisest choice! After the crash, the speed and velocity of the occupant have been reduced to zero by the negative acceleration that resulted from the seat belt. The acceleration is also zero because the occupant is at rest. Since the occupant now has zero velocity, his/her momentum is also zero. 5. If the same force is applied to 2 objects with different masses, how will the objects accelerate? The object with the smaller mass will have a larger acceleration than the object with the greater mass if the same force is applied to both. We know this from experience: if you try to pull or push a wagon or wheelbarrow that is empty vs. one that is fully loaded, you know that it requires more force from you to move the one that is fully loaded. 6. According to the following data table, which vehicle has more momentum? Explain your answer. Object mass velocity Car 1500 kg -20 m/s (west) Truck 2500kg +2 m/s (east) SUV 1900 kg +8.5 m/s (north) Car = (1500kg)(-20m/s) = -30,000kgm/s (west) Truck = (2500kg)(+2m/s) = +5,000kgm/s (east) SUV = (1900kg)(+8.5m/s) = +16,150kgm/s (north) The car has the largest momentum because it’s mass and velocity combined yield the greatest numeric value. The direction (positive or negative) does not indicate a larger or smaller value, just the direction of travel. 7. Use a Venn diagram to compare and contrast speed with velocity. SPEED VELOCITY uses distance uses displacement elapsed time scalar quantity Draft - 1/26/2009 includes direction vector quantity 18 8. Draw a motion diagram of you standing in the aisle of the school bus that is a accelerating forward. v v v v v Then draw a motion diagram of you on the same bus when the bus driver slams on a the brakes. v v v v v 9. Explain how the Engineering Design Process is similar to the scientific method. The EDP is a cyclic process that usually includes the following steps: identify a need or problem; research the need or problem; develop possible solutions; select the best possible solution; construct a prototype; test/evaluate; communicate results; redesign to improve. The scientific method is a more rigid linear process that includes the following steps: ask a question; do background research; form a hypothesis; test the hypothesis, analyze data; draw conclusions; communicate results. The main difference between the two processes is the opportunity to improve or redesign your product (or process). Engineers value failure as part of the learning process whereas scientists sometimes hide their failures and move to a new project. Grade Level: 9th 1. Describe the forces acting on the occupant(s) before the vehicle starts moving, while it is traveling down the ramp, and when the vehicle comes to rest after the crash. Draw force diagrams to explain each situation. Before the vehicle starts moving, there are two forces acting on the occupants: gravitational force is acting downward and an equal and opposite force is acting upward from the seat of the vehicle (refer to Diagram 1). Once the vehicle begins to move down the ramp, there are two additional forces acting on the occupants, both parallel to the ramp, one acting in the same direction of motion which is a component of the weight of the occupant that is parallel to the ramp, and the other in the opposite direction of motion which is friction between the occupant and the seat (refer to Diagram 2). When the vehicle comes to rest after the crash, the same forces are acting on it as before it began to move: the gravitational force and the upward (normal) force (refer back to Diagram 1). Draft - 1/26/2009 19 F of vehicle on occupant Diagram 1 It is important to note that the two forces act perpendicular to the ground, not to the occupant. Gravitational force RAMP always acts perpendicular to the Earth. The two forces can be separated into their x- and y-components on an axis that aligns with the ramp. This will allow you to determine the forces that are perpendicular to the occupant, if necessary. θ Occupant θ F of gravity on occupant θ F of seat on occupant of friction on occupant F Diagram12 Diagram θ F ofonseat occupant RAMP (perpendicular) Occupant F of gravity θ on occupant (perpendicular) F of gravity pulling occupant down ramp F of gravity on occupant θ Note that the two forces acting parallel to the ramp can be translated such that they originate from the center of the occupant. This makes it easier for the students to see how one makes the occupant move down the ramp and the other resists that motion. Once the red vector is separated into its x- and y-components, it can be removed from the diagram (refer to Diagram 3). F of seat Diagram 3 F of friction on occupant (perpendicular) on occupant RAMP Occupant F of gravity pulling occupant down ramp F of gravity on occupant (perpendicular) θ Draft - 1/26/2009 20 2. How do the speed, acceleration, velocity, and momentum affect an occupant before, during, and after a car crash (car is traveling at a constant speed in a straight line and then impacts with a stationary object)? Since speed, velocity, acceleration, and momentum are all related to the motion of an object, they all affect the occupant of a vehicle before during and after a crash. The speed and velocity of the occupant before the crash are the same as that of the vehicle, both are constant and numerically equal to each other. Also, both the vehicle and the occupant have zero acceleration before the crash because the vehicle has a constant speed in straight line motion (ignoring friction). The occupant has a specific momentum based on his/her mass and velocity. During the crash, the speed and velocity of the occupant are rapidly decreasing due to a large negative acceleration (refer to second motion diagram in Question # 10). The momentum of the occupant is the reason (s)he has the tendency to continue on the original path of motion. The outside force of the stationary object (wall) changed the momentum of the vehicle, causing it to accelerate negatively and stop, but there needs to be an outside force acting on the occupant to change his/her momentum. This outside force could be a seat belt, a windshield, or the pavement. This is why we wear seat belts, it is the wisest choice! After the crash, the speed and velocity of the occupant have been reduced to zero by the negative acceleration that resulted from the seat belt. The acceleration is also zero because the occupant is at rest. Since the occupant now has zero velocity, his/her momentum is also zero. 3. If the same force is applied to 2 objects with different masses, how will the objects accelerate? The object with the smaller mass will have a larger acceleration than the object with the greater mass if the same force is applied to both. We know this from experience as well as from Newton’s 2nd Law: a m = F = a m From experience, if you try to pull or push a wagon or wheelbarrow that is empty vs. one that is fully loaded, you know that it requires more force from you to move the one that is fully loaded. 4. Draw an example of Newton’s First Law you see in the classroom and explain. Answers will vary. Example: Student sitting in a desk – a body at rest will remain at rest until an outside force acts on it to set it in motion. 5. Write an example of Newton’s Second Law and explain. Answers will vary. Example: When I kick the soccer ball, it accelerates in the same direction of the force I exert on it. If I were to kick a bowling ball (greater mass than soccer ball) with the same force (ouch!), it would have a smaller acceleration. 6. Give an example of Newton’s third Law that you experienced today. Answers will vary. Example: When I sat on the seat I exerted a downward force on it and it Draft - 1/26/2009 21 exerted an upward force on my butt so I did not crash through the seat and fall to the floor. 7. According to the following data table, which object has more momentum? Explain your answer. Object mass velocity Car 1500 kg -20 m/s (west) Truck 2500kg +2 m/s (east) SUV 1900 kg +8.5 m/s (north) Car = (1500kg)(-20m/s) = -30,000kgm/s (west) Truck = (2500kg)(+2m/s) = +5,000kgm/s (east) SUV = (1900kg)(+8.5m/s) = +16,150kgm/s (north) The car has the largest momentum because it’s mass and velocity combined yield the greatest numeric value. The direction (positive or negative) does not indicate a larger or smaller value, just the direction of travel. 8. Draw a speed vs. time graph of a car accelerating down a hill, then moving on level ground, and finally coming to a stop. v t 9. Imagine you are on a planet that has no gravity and you throw a softball. Use Newton’s First Law of Motion to describe what would happen. Because there is no gravity, the softball would move in the direction I threw it and I would move in the opposite direction. Our momenta would be equal, but the softball would have a greater velocity because it has a smaller mass than I do. Draft - 1/26/2009 22 10. Use a Venn diagram to compare and contrast speed with velocity. SPEED VELOCITY uses distance uses displacement elapsed time scalar quantity includes direction vector quantity 11. Draw a motion diagram of you standing in the aisle of the school bus that is a accelerating forward. v v v v v Then draw a motion diagram of you on the same bus when the bus driver slams on a the brakes. v v v v v 12. Explain how the Engineering Design Process is similar to the scientific method. The EDP is a cyclic process that usually includes the following steps: identify a need or problem; research the need or problem; develop possible solutions; select the best possible solution; construct a prototype; test/evaluate; communicate results; redesign to improve. The scientific method is a more rigid linear process that includes the following steps: ask a question; do background research; form a hypothesis; test the hypothesis, analyze data; draw conclusions; communicate results. The main difference between the two processes is the opportunity to improve or redesign your product (or process). Engineers value failure as part of the learning process whereas scientists sometimes hide their failures and move to a new project. Pre-Test Rubric: 8th Grade QUESTION 1. Describe the forces acting on the Draft - 1/26/2009 4 Explanation indicates a clear and 3 Explanation indicates an understanding 2 Explanation indicates an understanding 1 Explanation indicates an understanding 0 Explanation indicates no understanding 23 occupant(s) when the vehicle is at rest on a horizontal surface, while it is traveling at a uniform speed along the horizontal surface (neglecting friction), and when the vehicle comes to rest after the crash. Draw diagrams to explain each situation. 2. Describe the force that causes a vehicle on a steep hill to begin to roll down the hill. Use diagrams in your explanation. Draft - 1/26/2009 accurate understanding of gravitational force acting downward and an equal and opposite force acting upward which includes all of the following: (1) when the vehicle is at rest on a horizontal surface; (2) when the vehicle is moving at a uniform speed along the horizontal surface; (3) when the vehicle comes to rest after the crash; and (4) a diagram. Response includes an explanation that indicates a clear and accurate understanding that the force that causes the vehicle to roll down the hill is a component of the force of gravity acting on the vehicle. Response also includes a diagram showing the force parallel to the hill. of gravitational force acting downward and an equal and opposite force acting upward which includes three of the following: (1) when the vehicle is at rest on a horizontal surface; (2) when the vehicle is moving at a uniform speed along the horizontal surface; (3) when the vehicle comes to rest after the crash; and (4) a diagram. of gravitational force acting downward and an equal and opposite force acting upward which includes two of the following: (1) when the vehicle is at rest on a horizontal surface; (2) when the vehicle is moving at a uniform speed along the horizontal surface; (3) when the vehicle comes to rest after the crash; and (4) a diagram. of gravitational force acting downward and an equal and opposite force acting upward which includes one of the following: (1) when the vehicle is at rest on a horizontal surface; (2) when the vehicle is moving at a uniform speed along the horizontal surface; (3) when the vehicle comes to rest after the crash; and (4) a diagram. of gravitational force acting downward and an equal and opposite force acting upward. Response includes an explanation that indicates an understanding that the force that causes the vehicle to roll down the hill is a component of the force of gravity acting on the vehicle. Response also includes a diagram showing the force parallel to the hill. Response indicates the force that causes the vehicle to roll down the hill is a force that acts parallel to the hill and points towards the bottom of the hill or response only refers to the force as "gravity". Response also includes a diagram. Response indicates the force that causes the vehicle to roll down the hill is a force that acts parallel to the hill and points towards the bottom of the hill; or response only refers to the force as "gravity"; or response only uses a diagram. Response indicates no understanding that the force that causes the vehicle to roll down the hill is a component of the force of gravity acting on the vehicle. No diagram is present. 24 3. Explain why the force you described in Question #2 is able to set the vehicle in motion down the hill. Explanation indicates a clear and accurate understanding which includes all of the following: (1) the force pulling the vehicle down the hill is greater than the force of friction holding the vehicle in place on the hill; (2) the forces are unbalanced; and (3) the vehicle is able to move in the direction of the larger force. Explanation indicates an understanding which includes all of the following: (1) the force pulling the vehicle down the hill is greater than the force of friction holding the vehicle in place on the hill; (2) the forces are unbalanced; and (3) the vehicle is able to move in the direction of the larger force. Explanation includes two of the following: (1) the force pulling the vehicle down the hill is greater than the force of friction holding the vehicle in place on the hill; (2) the forces are unbalanced; and (3) the vehicle is able to move in the direction of the larger force. Explanation includes one of the following: (1) the force pulling the vehicle down the hill is greater than the force of friction holding the vehicle in place on the hill; (2) the forces are unbalanced; and (3) the vehicle is able to move in the direction of the larger force. Explanation indicates no understanding that the force pulling the vehicle down the hill is greater than the force of friction holding the vehicle in place on the hill and the forces are unbalanced which causes the vehicle is able to move in the direction of the larger force. 4. How do the speed, acceleration, velocity, and momentum affect an occupant before, during, and after a car crash (car is traveling at a constant speed in a straight line and then impacts with a stationary object)? Explanation indicates a clear and accurate understanding that speed, velocity, acceleration, and momentum are all related to the motion of the occupant and includes at least 8 of the following: Before the crash (1) speed & velocity are constant and numerically equal to each other; (2) acceleration is zero; and (3) momentum is Explanation indicates an understanding that speed, velocity, acceleration, and momentum are all related to the motion of the occupant and includes at least 6 of the following: Before the crash (1) speed & velocity are constant and numerically equal to each other; (2) acceleration is zero; and (3) momentum is based on occupant's Explanation indicates that speed, velocity, acceleration, and momentum are all related to the motion of the occupant and includes at least 4 of the following: Before the crash (1) speed & velocity are constant and numerically equal to each other; (2) acceleration is zero; and (3) momentum is based on occupant's mass and Explanation includes at least 2 of the following: Before the crash (1) speed & velocity are constant and numerically equal to each other; (2) acceleration is zero; and (3) momentum is based on occupant's mass and velocity. During the crash (4) speed & velocity are rapidly decreasing; (5) large negative acceleration; Explanation indicates no understanding that speed, velocity, acceleration, and momentum are all related to the motion of the occupant. Draft - 1/26/2009 25 based on occupant's mass and velocity. During the crash (4) speed & velocity are rapidly decreasing; (5) large negative acceleration; (6) momentum of occupant provides the tendency to continue on the original path of motion; (7) need an outside force on occupant to change his/her momentum. After the crash (8) speed & velocity are zero; (9) acceleration is zero; (10) momentum is zero. Draft - 1/26/2009 mass and velocity. During the crash (4) speed & velocity are rapidly decreasing; (5) large negative acceleration; (6) momentum of occupant provides the tendency to continue on the original path of motion; (7) need an outside force on occupant to change his/her momentum. After the crash (8) speed & velocity are zero; (9) acceleration is zero; (10) momentum is zero. velocity. During the crash (4) speed & velocity are rapidly decreasing; (5) large negative acceleration; (6) momentum of occupant provides the tendency to continue on the original path of motion; (7) need an outside force on occupant to change his/her momentum. After the crash (8) speed & velocity are zero; (9) acceleration is zero; (10) momentum is zero. (6) momentum of occupant provides the tendency to continue on the original path of motion; (7) need an outside force on occupant to change his/her momentum. After the crash (8) speed & velocity are zero; (9) acceleration is zero; (10) momentum is zero. 26 5. If the same force is applied to 2 objects with different masses, how will the objects accelerate? Draft - 1/26/2009 Response states in a clear and accurate manner that the object with the smaller mass will have a larger acceleration than the object with the greater mass if the same force is applied to both and that we know this from experience. Response includes an example: if you try to pull a wagon or push a wheelbarrow that is empty vs. one that is fully loaded, you know that it requires more force to move the one that is fully loaded. Response states that the object with the smaller mass will have a larger acceleration than the object with the greater mass if the same force is applied to both and that we know this from experience. Response includes an example: if you try to pull a wagon or push a wheelbarrow that is empty vs. one that is fully loaded, you know that it requires more force to move the one that is fully loaded. Response states that the object with the smaller mass will have a larger acceleration than the object with the greater mass if the same force is applied to both and that we know this from experience. Response does not include an example. Response states that the object with the smaller mass will have a larger acceleration than the object with the greater mass if the same force is applied to both but does not state how we know this. Response does not include an example. Response states that the object with the smaller mass will have a smaller acceleration than the object with the larger mass if the same force is applied to both OR the object with the larger mass will have a larger acceleration than the object with the smaller mass if the same force is applied to both. 27 6. According to the data table, which object has more momentum? Explain your answer. 7. Use a Venn diagram to compare and contrast speed with velocity. 8. Draw a motion diagram of you Draft - 1/26/2009 Explanation indicates a clear and accurate understanding that the car has the largest momentum because it’s mass and velocity combined yield the greatest numeric value. The direction (positive or negative) does not indicate a larger or smaller value, just the direction of travel. Response shows a clear and accurate 2-circle Venn diagram with "Speed" and "Velocity" identifying each circle. The overlap must identify the commonality as "elapsed time". Differences should include 2 of the following: (1) distance vs. displacement; (2) scalar vs. vector; (3) includes direction (velocity). Diagram Includes all of the following: Explanation indicates an understanding that the car has the largest momentum because it’s mass and velocity combined yield the greatest numeric value. The direction (positive or negative) does not indicate a larger or smaller value, just the direction of travel. Explanation indicates that the car has the largest momentum because it’s mass and velocity (or speed) combined yield the greatest numeric value. Explanation indicates that the vehicle with the largest mass OR the largest velocity (or speed) has the largest momentum because momentum is determined by mass and velocity. Explanation indicates no understanding that the largest momentum involves the mass and velocity combined. Response shows a 2circle Venn diagram with "Speed" and "Velocity" identifying each circle. The overlap must identify the commonality as "elapsed time". Differences should include 1 of the following: (1) distance vs. displacement; (2) scalar vs. vector; (3) includes direction (velocity). Response shows a 2circle Venn diagram with "Speed" and "Velocity" identifying each circle. The overlap identifies the commonality as "time". Differences should include 1 of the following: (1) distance vs. displacement; (2) scalar vs. vector; (3) includes direction (velocity). Response shows a 2circle Venn diagram with "Speed" and "Velocity" identifying each circle with only 1 of the following: the overlap identifying the commonality as "time"; differences including: distance vs. displacement; scalar vs. vector; or (velocity) includes direction. Response does not include a 2-circle Venn diagram. Diagram Includes 4 of the following: Diagram Includes 2 of the following: Diagram Includes 1 of the following: No attempt at a motion diagram. 28 standing in the aisle of the school bus that is accelerating forward. Then draw a motion diagram of you on the same bus when the bus driver slams on the brakes. Draft - 1/26/2009 Bus accelerating forward (1) begins with blocks close together and spreading apart as time elapses; (2) shows increasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks increases; and (3) one acceleration vector (arrow) pointing in the same direction as the velocity vectors. Bus slamming on brakes (4) begins with blocks far apart and get closer as time elapses; (5) shows decreasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks decreases; and (6) one acceleration vector (arrow) pointing in the OPPOSITE direction as the velocity vectors. Bus accelerating forward (1) begins with blocks close together and spreading apart as time elapses; (2) shows increasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks increases; and (3) one acceleration vector (arrow) pointing in the same direction as the velocity vectors. Bus slamming on brakes (4) begins with blocks far apart and get closer as time elapses; (5) shows decreasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks decreases; and (6) one acceleration vector (arrow) pointing in the OPPOSITE direction as the velocity vectors. Bus accelerating forward (1) begins with blocks close together and spreading apart as time elapses; (2) shows increasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks increases; and (3) one acceleration vector (arrow) pointing in the same direction as the velocity vectors. Bus slamming on brakes (4) begins with blocks far apart and get closer as time elapses; (5) shows decreasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks decreases; and (6) one acceleration vector (arrow) pointing in the OPPOSITE direction as the velocity vectors. Bus accelerating forward (1) begins with blocks close together and spreading apart as time elapses; (2) shows increasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks increases; and (3) one acceleration vector (arrow) pointing in the same direction as the velocity vectors. Bus slamming on brakes (4) begins with blocks far apart and get closer as time elapses; (5) shows decreasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks decreases; and (6) one acceleration vector (arrow) pointing in the OPPOSITE direction as the velocity vectors. 29 9. Explain how the Engineering Design Process is similar to the scientific method. Response states 4 of the following in a clear and accurate manner: (1) the EDP is a cyclic process; (2) identifies all the EDP steps; (3) the scientific method is a linear process; (4) identifies all the steps; and (5) the main difference is the opportunity to improve or redesign your product (or process). Response states 3 of the following: (1) the EDP is a cyclic process; (2) identifies all the EDP steps; (3) the scientific method is a linear process; (4) identifies all the steps; and (5) the main difference is the opportunity to improve or redesign your product (or process). Response states 2 of the following: (1) the EDP is a cyclic process; (2) identifies all the EDP steps; (3) the scientific method is a linear process; and (4) identifies all the steps. Response states 1 of the following: (1) the EDP is a cyclic process; (2) identifies all the EDP steps; (3) the scientific method is a linear process; and (4) identifies all the steps. Response shows no understanding of OR states there are no similarities between the EDP and the scientific method. Pre-Test Rubric: 9th Grade QUESTION Draft - 1/26/2009 4 3 2 1 0 30 1. Describe the forces acting on the occupant(s) before the vehicle starts moving, while it is traveling down the ramp, and when the vehicle comes to rest after the crash. Draw force diagrams to explain each situation. 2. How do the speed, acceleration, velocity, and momentum affect an occupant before, during, and after a car crash (car is traveling at a constant speed in a straight line and then impacts with a stationary object)? Draft - 1/26/2009 Explanation indicates a clear and accurate understanding of gravitational force acting downward (perpendicular to Earth) and an equal and opposite force acting upward at all times. These forces can be separated into components, giving the two forces acting parallel to the ramp, one in the direction of motion which is a component of the weight of the occupant, and the other in the opposite direction of motion which is friction. Explanation indicates a clear and accurate understanding that speed, velocity, acceleration, and momentum are all related to the motion of the occupant and includes at least 8 of the following: Before the crash (1) Explanation indicates an understanding of gravitational force acting downward (perpendicular to Earth) and an equal and opposite force acting upward at all times. These forces can be separated into components, giving the two forces acting parallel to the ramp, one in the direction of motion which is a component of the weight of the occupant, and the other in the opposite direction of motion which is friction. Explanation indicates an understanding of gravitational force acting downward (perpendicular to Earth) and an equal and opposite force acting upward at all times. The explanation mentions separating these forces into components, but only mentions one force parallel to the ramp. Explanation indicates an understanding of gravitational force acting downward (perpendicular to Earth) and separating this force into components. Explanation indicates no understanding of gravitational force acting downward or its component acting parallel to the ramp. Explanation indicates an understanding that speed, velocity, acceleration, and momentum are all related to the motion of the occupant and includes at least 6 of the following: Before the crash (1) speed & velocity are Explanation indicates that speed, velocity, acceleration, and momentum are all related to the motion of the occupant and includes at least 4 of the following: Before the crash (1) speed & velocity are constant and Explanation includes at least 2 of the following: Before the crash (1) speed & velocity are constant and numerically equal to each other; (2) acceleration is zero; and (3) momentum is based on occupant's mass and velocity. Explanation indicates no understanding that speed, velocity, acceleration, and momentum are all related to the motion of the occupant. 31 speed & velocity are constant and numerically equal to each other; (2) acceleration is zero; and (3) momentum is based on occupant's mass and velocity. During the crash (4) speed & velocity are rapidly decreasing; (5) large negative acceleration; (6) momentum of occupant provides the tendency to continue on the original path of motion; (7) need an outside force on occupant to change his/her momentum. After the crash (8) speed & velocity are zero; (9) acceleration is zero; (10) momentum is zero. Draft - 1/26/2009 constant and numerically equal to each other; (2) acceleration is zero; and (3) momentum is based on occupant's mass and velocity. During the crash (4) speed & velocity are rapidly decreasing; (5) large negative acceleration; (6) momentum of occupant provides the tendency to continue on the original path of motion; (7) need an outside force on occupant to change his/her momentum. After the crash (8) speed & velocity are zero; (9) acceleration is zero; (10) momentum is zero. numerically equal to each other; (2) acceleration is zero; and (3) momentum is based on occupant's mass and velocity. During the crash (4) speed & velocity are rapidly decreasing; (5) large negative acceleration; (6) momentum of occupant provides the tendency to continue on the original path of motion; (7) need an outside force on occupant to change his/her momentum. After the crash (8) speed & velocity are zero; (9) acceleration is zero; (10) momentum is zero. During the crash (4) speed & velocity are rapidly decreasing; (5) large negative acceleration; (6) momentum of occupant provides the tendency to continue on the original path of motion; (7) need an outside force on occupant to change his/her momentum. After the crash (8) speed & velocity are zero; (9) acceleration is zero; (10) momentum is zero. 32 3. If the same force is applied to 2 objects with different masses, how will the objects accelerate? 4. Draw an example of Newton’s First Law you see in the classroom and explain. Draft - 1/26/2009 Response states in a clear and accurate manner that the object with the smaller mass will have a larger acceleration than the object with the greater mass if the same force is applied to both and that we know this from experience as well as from Newton’s 2nd Law. Response includes Newton's 2nd Law (F=ma) and an example: if you try to pull a wagon or push a wheelbarrow that is empty vs. one that is fully loaded, you know that it requires more force to move the one that is fully loaded. Drawing is clean and neat and explanation indicates a clear and accurate understanding that an object at rest will remain at rest Response states that the object with the smaller mass will have a larger acceleration than the object with the greater mass if the same force is applied to both and that we know this from experience as well as from Newton’s 2nd Law. Response includes Newton's 2nd Law (F=ma) and an example: if you try to pull a wagon or push a wheelbarrow that is empty vs. one that is fully loaded, you know that it requires more force to move the one that is fully loaded. Response states that the object with the smaller mass will have a larger acceleration than the object with the greater mass if the same force is applied to both and that we know this from experience as well as from Newton’s 2nd Law. Response does not include an example. Response states that the object with the smaller mass will have a larger acceleration than the object with the greater mass if the same force is applied to both but does not state how we know this. Response does not include an example. Response states that the object with the smaller mass will have a smaller acceleration than the object with the larger mass if the same force is applied to both OR the object with the larger mass will have a larger acceleration than the object with the smaller mass if the same force is applied to both. Drawing is clean and neat and explanation indicates an understanding that an object at rest will remain at rest or an object in motion will Drawing is clean and neat and explanation indicates either an object at rest will remain at rest OR an object in motion will Only a drawing, no explanation of Newton's First Law. No drawing and either no explanation or explanation indicates no understanding of Newton's First Law. 33 5. Write an example of Newton’s Second Law and explain. Draft - 1/26/2009 or an object in motion will remain in motion until an unbalanced force causes a change in its motion. Example is clearly written and correctly describes Newton's Second Law (i.e. kicking a soccer ball and a bowling ball with the same force will yield different accelerations). Explanation indicates a clear and accurate understanding of Newton's Second Law or F=ma. remain in motion until an unbalanced force causes a change in its motion. remain in motion until an unbalanced force causes a change in its motion. Example correctly describes Newton's Second Law (i.e. kicking a soccer ball and a bowling ball with the same force will yield different accelerations). Explanation indicates an understanding of Newton's Second Law or F=ma. Example weakly describes Newton's Second Law (i.e. kicking a soccer ball and it moves it accelerates). Explanation indicates some understanding of Newton's Second Law or F=ma. Either an example or explanation of Newton's Second Law, not both. Example and/or explanation indicates no understanding of Newton's Second Law. 34 6. Give an example of Newton’s third Law that you experienced today. 7. According to the data table, which object has more momentum? Explain your answer. 8. Draw a Draft - 1/26/2009 Example is realistic, clearly written, and correctly describes Newton's Third Law (i.e. kicking a bowling ball applies a force to the ball to move it but the ball also applies a force to my foot because it hurts). Explanation indicates a clear and accurate understanding of Newton's Third Law or for every force there is an equal and opposite force. Explanation indicates a clear and accurate understanding that the car has the largest momentum because it’s mass and velocity combined yield the greatest numeric value. The direction (positive or negative) does not indicate a larger or smaller value, just the direction of travel. The graph is Example is realistic and correctly describes Newton's Third Law (i.e. kicking a bowling ball applies a force to the ball to move it but the ball also applies a force to my foot because it hurts). Explanation indicates an understanding of Newton's Third Law or for every force there is an equal and opposite force. Example correctly describes Newton's Third Law (i.e. kicking a bowling ball applies a force to the ball to move it but the ball also applies a force to my foot because it hurts). Explanation indicates some understanding of Newton's Third Law or for every force there is an equal and opposite force. Example weakly describes Newton's Third Law. Example incorrectly describes Newton's Third Law. Explanation indicates an understanding that the car has the largest momentum because it’s mass and velocity combined yield the greatest numeric value. The direction (positive or negative) does not indicate a larger or smaller value, just the direction of travel. Explanation indicates that the car has the largest momentum because it’s mass and velocity (or speed) combined yield the greatest numeric value. Explanation indicates that the vehicle with the largest mass OR the largest velocity (or speed) has the largest momentum because momentum is determined by mass and velocity. Explanation indicates no understanding that the largest momentum involves the mass and velocity combined. The graph has The graph has The graph has No graph is 35 speed vs. time graph of a car accelerating down a hill, then moving on level ground, and finally coming to a stop. Draft - 1/26/2009 clean and neat with both axes labeled; it has all of the following correct: (1) the line begins with a positive slope, either at zero speed or some initial speed, and increases for some elapsed time; (2) then the slope is zero for an elapsed time while the car is moving on level ground; and finally (3) the slope is negative to indicate a negative acceleration, slowing down, or decreasing the speed to zero. all of the following correct: (1) the line begins with a positive slope, either at zero speed or some initial speed, and increases for some elapsed time; (2) then the slope is zero for an elapsed time while the car is moving on level ground; and finally (3) the slope is negative to indicate a negative acceleration, slowing down, or decreasing the speed to zero. 2 of the following correct: (1) the line begins with a positive slope, either at zero speed or some initial speed, and increases for some elapsed time; (2) then the slope is zero for an elapsed time while the car is moving on level ground; and finally (3) the slope is negative to indicate a negative acceleration, slowing down, or decreasing the speed to zero. 1 of the following correct: (1) the line begins with a positive slope, either at zero speed or some initial speed, and increases for some elapsed time; (2) then the slope is zero for an elapsed time while the car is moving on level ground; and finally (3) the slope is negative to indicate a negative acceleration, slowing down, or decreasing the speed to zero. provided or the wrong type of graph (i.e. a distance vs. time) is provided. 36 9. Imagine you are on a planet that has no gravity and you throw a softball. Use Newton’s First Law of Motion to describe what would happen. Draft - 1/26/2009 Explanation indicates a clear and accurate understanding of Newton's First Law that includes all of the following: the softball would (1) continue to move in a straight line (2) at the same speed with which it left your hand (3) indefinitely, unless it collides with some object that will provide an unbalanced force to change its motion. With no gravity (4) there is no unbalanced force to bring the softball down to the surface of the planet. Explanation indicates an understanding of Newton's First Law that includes 3 of the following: the softball would (1) continue to move in a straight line (2) at the same speed with which it left your hand (3) indefinitely, unless it collides with some object that will provide an unbalanced force to change its motion. With no gravity (4) there is no unbalanced force to bring the softball down to the surface of the planet. Explanation includes 2 of the following: the softball would (1) continue to move in a straight line (2) at the same speed with which it left your hand (3) indefinitely, unless it collides with some object that will provide an unbalanced force to change its motion. With no gravity (4) there is no unbalanced force to bring the softball down to the surface of the planet. Explanation includes 1 of the following: the softball would (1) continue to move in a straight line (2) at the same speed with which it left your hand (3) indefinitely, unless it collides with some object that will provide an unbalanced force to change its motion. With no gravity (4) there is no unbalanced force to bring the softball down to the surface of the planet. Explanation indicates no understanding of Newton's First Law. 37 10. Use a Venn diagram to compare and contrast speed with velocity. 11. Draw a motion diagram of you standing in the aisle of the school bus that is accelerating forward. Then draw a motion diagram of you on the same bus when the bus driver slams on the brakes. Draft - 1/26/2009 Response shows a clear and accurate 2-circle Venn diagram with "Speed" and "Velocity" identifying each circle. The overlap must identify the commonality as "elapsed time". Differences should include 2 of the following: (1) distance vs. displacement; (2) scalar vs. vector; (3) includes direction (velocity). Diagram Includes all of the following: Bus accelerating forward (1) begins with blocks close together and spreading apart as time elapses; (2) shows increasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks increases; and (3) one acceleration Response shows a 2circle Venn diagram with "Speed" and "Velocity" identifying each circle. The overlap must identify the commonality as "elapsed time". Differences should include 1 of the following: (1) distance vs. displacement; (2) scalar vs. vector; (3) includes direction (velocity). Response shows a 2circle Venn diagram with "Speed" and "Velocity" identifying each circle. The overlap identifies the commonality as "time". Differences should include 1 of the following: (1) distance vs. displacement; (2) scalar vs. vector; (3) includes direction (velocity). Response shows a 2circle Venn diagram with "Speed" and "Velocity" identifying each circle with only 1 of the following: the overlap identifying the commonality as "time"; differences including: distance vs. displacement; scalar vs. vector; or (velocity) includes direction. Response does not include a 2-circle Venn diagram. Diagram Includes 4 of the following: Bus accelerating forward (1) begins with blocks close together and spreading apart as time elapses; (2) shows increasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks increases; and (3) one acceleration Diagram Includes 2 of the following: Bus accelerating forward (1) begins with blocks close together and spreading apart as time elapses; (2) shows increasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks increases; and (3) one acceleration Diagram Includes 1 of the following: Bus accelerating forward (1) begins with blocks close together and spreading apart as time elapses; (2) shows increasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks increases; and (3) one acceleration No attempt at a motion diagram. 38 vector (arrow) pointing in the same direction as the velocity vectors. Bus slamming on brakes (4) begins with blocks far apart and get closer as time elapses; (5) shows decreasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks decreases; and (6) one acceleration vector (arrow) pointing in the OPPOSITE direction as the velocity vectors. Draft - 1/26/2009 vector (arrow) pointing in the same direction as the velocity vectors. Bus slamming on brakes (4) begins with blocks far apart and get closer as time elapses; (5) shows decreasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks decreases; and (6) one acceleration vector (arrow) pointing in the OPPOSITE direction as the velocity vectors. vector (arrow) pointing in the same direction as the velocity vectors. Bus slamming on brakes (4) begins with blocks far apart and get closer as time elapses; (5) shows decreasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks decreases; and (6) one acceleration vector (arrow) pointing in the OPPOSITE direction as the velocity vectors. vector (arrow) pointing in the same direction as the velocity vectors. Bus slamming on brakes (4) begins with blocks far apart and get closer as time elapses; (5) shows decreasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks decreases; and (6) one acceleration vector (arrow) pointing in the OPPOSITE direction as the velocity vectors. 39 12. Explain how the Engineering Design Process is similar to the scientific method. Response states 4 of the following in a clear and accurate manner: (1) the EDP is a cyclic process; (2) identifies all the EDP steps; (3) the scientific method is a linear process; (4) identifies all the steps; and (5) the main difference is the opportunity to improve or redesign your product (or process). Response states 3 of the following: (1) the EDP is a cyclic process; (2) identifies all the EDP steps; (3) the scientific method is a linear process; (4) identifies all the steps; and (5) the main difference is the opportunity to improve or redesign your product (or process). Response states 2 of the following: (1) the EDP is a cyclic process; (2) identifies all the EDP steps; (3) the scientific method is a linear process; and (4) identifies all the steps. Response states 1 of the following: (1) the EDP is a cyclic process; (2) identifies all the EDP steps; (3) the scientific method is a linear process; and (4) identifies all the steps. Response shows no understanding of OR states there are no similarities between the EDP and the scientific method. Pre-Activity Discussion: Pre-Activity Discussion #1Teacher should provide a demonstration on how to use the lab equipment and how the car materials work. If this activity is being used as an end of the unit activity/lab assessment, the teacher should review Newton’s Laws of Motion, as well as speed, velocity, acceleration, momentum; Law of Conservation of Momentum, force, how to do a motion drawing, and other topics related to motion. Pre-Activity Discussion #2 - Discuss the Engineering Design Process Steps To develop a new product, such as a car, Engineers use a process, much like scientists use the scientific method. Students are to use the following process to DESIGN their cars. STEP 1: Identify the Problem STEP 2: Identify Criteria & Constraints STEP 3: Explore the Possibilities STEP 4: Select an Approach STEP 5: Construct the Chosen Design STEP 6: Test and Evaluate STEP 7: Communicate the Results STEP 8: Refine the Design Draft - 1/26/2009 40 Pre-Activity Discussion #3 - If this activity is used to teach motion. Provide lessons on speed, velocity, acceleration, motion diagrams, force, Newton’s Laws of Motion, and momentum. Students will assume different roles: Member Role Name Brief Description 1 Manager Responsible for organizing team and keeping team on task to 2 Tester 3 Safety Officer Technical Writer 4 meet goals and deadlines. Will also serve as team spokesperson, if one is required. Responsible for performing experimental tests and manipulating equipment properly. Responsible for making sure team observes all safety measures during experimentation. Responsible for recording data during experimentation and overseeing the writing of results and conclusions. Activity: Teacher instructions: 1. Begin by telling the students the problem they need to solve. THE PROBLEM: Your team is to design & build a vehicle with a safety restraint system that will protect a “raw egg” occupant. The vehicle needs to have the greatest speed, velocity, and momentum possible. The vehicle will be tested by crashing it into a rigid wall and your egg occupant must “survive” without any cracks. 2. Now you can present the students with the criteria/constraints: DESIGN OF THE VEHICLE: 1. The Styrofoam tray provided will be the frame of your vehicle. 2. Your vehicle must have at least 3 wheels. 3. You must use the wheels provided. 4. Any building material can be deemed unacceptable by the teacher (ask first!). 5. No Connects, Lego’s, or other building toys maybe used. 6. No metal, glass, or liquids maybe used. 7. Raw egg occupant must be in the front half of the vehicle. 8. Egg occupant cannot be wrapped in any material; it cannot be glued or taped down; it cannot be put into a “box” type container. 3. Inform students of their obligation to keep accurate records of their work: VEHICLE REPORT Cover Page - Car name, your name(s), and period This Page - Use boxes to check off completed items for your report Part 1 - State the problem, materials used, who was in charge of what; be specific. Part 2 - Drawing and data table (one for each car design & modifications) Part 3 - Graph of data from data table on previous page Part 4 - Question answers (each team member answers his/her own questions) Part 5 - Reflection - (each team member does his/her own reflection) Draft - 1/26/2009 41 4. Tell the student teams it is time for them to begin the EDP (Engineering Design Process) that was discussed in the Pre-Activity. STEP 1: Identify the Problem - Students should re-state the problem in their own words on their own papers. STEP 2: Identify Criteria & Constraints - Students should list the specific requirements (criteria) & things they cannot do (constraints) for their design. This list has been provided but needs to be re-written in their lab report. STEP 3: Explore the Possibilities - Separately, each student on the design team should sketch their own solution(s) for the problem. This way every student has the opportunity to contribute his/her idea(s). Allow enough time for everyone to sketch at least one design. Drawings should be quick and brief; a more formal design drawing may be done later. Could possibly be a homework assignment. THEN have students share their solution(s) with their design team members and as a group they should list the limitations of each design due to available resources and the classroom environment. Next, each design team should develop 2-3 of their ideas. They should create more detailed accurate (ruler should be used) drawings, with multiple views. All parts should be labeled and in proportion with each other. (At this step you could work with the math teacher to do a scale drawing of design teams cars.) The design team should discuss the pros & cons of each design and write these directly on each drawing. STEP 4: Select an Approach - as a team, students should identify the design that appears to solve the given problem. Students should write a statement on why they chose that design, which includes references to the criteria and constraints. STEP 5: Construct the Chosen Design - Students will construct their design only with materials provided. STEP 6: Test and Evaluate the Vehicle – Students will collect data on the speed, distance and crash durability of their vehicle (see sample data table in “Instructional Tips” section). It is important that students test the speed of their vehicle on a flat horizontal surface, not on the ramp (refer to “Instructional Tips” section). Students will examine their data and evaluate their design based on the vehicle performance to meet the criteria and constraints. STEP 7: Communicate the Results – Students will share the results of their design in a written format with data presented in tabular and graphical form. STEP 8: Refine the Design - At this point students should identify any problems with their design and propose solutions or potential improvements. Egg-Stravaganza Vehicle Questions DIRECTIONS - Answer all questions on your own paper, number all questions. All Draft - 1/26/2009 42 answers must be in complete & detailed sentences. 1. Identify the force that set the vehicle in motion down the ramp. The force that set the vehicle in motion down the ramp is a component of the weight of the vehicle. The weight of the vehicle is the same as the force of gravity or the force the Earth exerts on the vehicle. This force, when on the inclined ramp, can be separated into two components, one perpendicular to the ramp and one parallel to the ramp. The component parallel to the ramp is the force that sets the vehicle in motion down the ramp. Where did this force originally come from? This force originally came from the Earth, it is due to gravity. Did this force change (get larger or smaller) during the vehicle’s trip down the ramp? This force did NOT change during the vehicle’s trip down the ramp. Gravitational force is determined by the mass of an object and since the mass of the vehicle did not change during the trip down the ramp, the force did not change either. Explain your answer. One of the easiest misconceptions is with “gravity” and “constant”. Many people will say gravity is constant and that is only partially true. Gravitational acceleration, or “g” is constant, regardless of the mass of the object. Everything falls with the same acceleration, IF we neglect air resistance. Gravitational force, on the other hand, is not constant. It is different for every object because it is actually the weight of an object. If we look at Newton’s 2nd Law, F = ma, let the “F” represent the gravitational force and the”a” represent the gravitational acceleration so the equation can now be Fw = mg. 2. Explain what happened to the vehicle’s momentum when it hit the wall. The net external force acting on an object can be evaluated as the rate of change of momentum. This turns out to be a more fundamental way of stating the force than the use of Newton's second law. The average force on a constant mass system is seen to be equal to the rate of change of momentum: ∆v F = ma = m ( /∆t) = (m∆ ∆v) / ∆t = ∆p/∆t 3. How does your vehicle’s momentum, mass & velocity relate to each other? Momentum is equal to the mass multiplied by the velocity. 4. Was the Engineering Design Process a good tool for figuring out your vehicle design? Justify your answer with 3 reasons for or against. Answers will vary but must include the option to redesign or improve as a reason for the EDP. 5. How do all 3 of Newton’s laws of motion relate to this activity? (9th Grade Only) Newton’s 1st Law relates to this activity in two ways: first in that the component of the force of gravity provides the unbalanced force to set the vehicle in motion from rest down the ramp; and second in that the wall provides the external unbalanced force to change the motion of the vehicle and stop it. Newton’s 2nd Law relates to this activity in many ways, from the force of weight of the vehicle Fw = mg, to the ∆v (m∆ ∆v) momentum F = ma = m ( /∆t) = / ∆t = ∆p/∆t . Newton’s 3rd Law relates to this Draft - 1/26/2009 43 activity in that every force we exert on something, we feel the same force being exerted back on us. When we hit a tree, it hurts us because the tree hits us back. 6. Explain how this activity relates to your real life. This activity relates to real life in that it shows how important it is to wear seat belts when driving or riding in a motor vehicle. Using the raw egg makes the point that much more dramatic. 7. Explain what you have learned about motion and forces relating to this activity. Answers will vary… Forces cause a change in motion. Student instructions: THE PROBLEM: Your team is to design & build a vehicle with a safety restraint system that will protect a “raw egg” occupant. The vehicle needs to have the greatest speed, velocity, and momentum possible. The vehicle will be tested by crashing it into a rigid wall and your egg occupant must “survive” without any cracks. DESIGN OF THE VEHICLE: 1. The Styrofoam tray provided will be the frame of your vehicle. 2. Your vehicle must have at least 3 wheels. 3. You must use the wheels provided. 4. Any building material can be deemed unacceptable by the teacher (ask first!). 5. No Connects, Lego’s, or other building toys maybe used. 6. No metal, glass, or liquids maybe used. 7. Raw egg occupant must be in the front half of the vehicle. 8. Egg occupant cannot be wrapped in any material; it cannot be glued or taped down; it cannot be put into a “box” type container. VEHICLE REPORT Cover Page - Car name, your name(s), and period This Page - Use boxes to check off completed items for your report Part 1 - State the problem, materials used, who was in charge of what; be specific. Part 2 - Drawing and data table (one for each car design & modifications) Part 3 - Graph of data from data table on previous page Part 4 - Question answers (each team member answers his/her own questions) Part 5 - Reflection - (each team member does his/her own reflection) Egg-Stravaganza Vehicle Information, Data, & Calculations 1. Re-state the problem in your own words on your own paper. 2. List the criteria & constraints for your vehicle. This list has been provided but needs Draft - 1/26/2009 44 to be re-written to be close to the problem and solution. 3. Individually, sketch one or more quick and brief vehicle designs. A more formal design drawing will be done later. 4. Share your vehicle design(s) with your team members and as a group list the limitations of each design due to available resources and the classroom environment. 5. Select and develop 2 of the vehicle designs from the team. Create a more detailed and accurate (ruler should be used) drawing with multiple views for each design. All parts should be labeled and in proportion with each other. 6. The team should discuss the pros & cons of each design and write these directly on each drawing. Select one vehicle design and do a scale drawing of it. Students should write a statement on why they chose that design, which includes references to the criteria and constraints. 7. The vehicle design must be approved by the teacher prior to the beginning of construction. After approval, the team will construct their design, but only with the materials provided. 8. Identify your vehicle with your team number. Measure and record the mass of your vehicle. Draw and label the vehicle. 9. Design an experiment to test your vehicle on speed, distance and crash durability. Your experimental design must be approved by your teacher prior to implementation. 10. Create a data table to record the data collected on the speed, distance and crash durability of your vehicle. 11. Calculate any necessary quantities, showing your work in a complete and clear format. 12. Create a Distance vs. Time Graph. Examine the data and evaluate your design based on the vehicle performance to meet the criteria and constraints. 13. Discuss the survival of your egg occupant with your team. Summarize your discussion in your science notebook. Identify any problems with your design and propose solutions or potential improvements. 14. Discuss the modification(s) your team plans to make to the vehicle. Summarize your discussion in your science notebook. 15. Redesign or improve your vehicle and retest it. 16. Write a complete summary about the results of your vehicle design with data presented in tabular and graphical form. Egg-Stravaganza Vehicle Questions Draft - 1/26/2009 45 DIRECTIONS - Answer all questions on your own paper, number all questions. All answers must be in complete & detailed sentences. 1. Identify the force that set the vehicle in motion down the ramp. Where did this force originally come from? Did this force change (get larger or smaller) during the vehicle’s trip down the ramp? Explain your answer. 2. Explain what happened to the vehicle’s momentum when it hit the wall. 3. How does your vehicle’s momentum, mass & velocity relate to each other? 4. Was the Engineering Design Process a good tool for figuring out your vehicle design? Justify your answer with 3 reasons for or against. 5. How do all 3 of Newton’s laws of motion relate to this activity? (9th Grade Only) 6. Explain how this activity relates to your real life. 7. Explain what you have learned about motion and forces relating to this activity. Egg-Stravaganza Vehicle Reflections DIRECTIONS - Answer all questions on your own paper, number all questions. All answers must be in complete & detailed sentences. POINTS 1. What was the most difficult thing about this activity for you? Explain your answer. 0 1 2 2. What was the easiest thing about this activity for you? Explain your answer. 0 1 2 3. Did you or didn't you like this activity? Justify your answer with 2 reasons. 0 1 2 4. Summarize what you have learned about motion and forces from this activity. 0 1 2 Draft - 1/26/2009 3 3 3 3 46 Instructional Tips & Background Information: Ask local super market to donate meat trays. X-Acto knifes and hole punches work on meat trays. Reinforce axle holes with tape. About two months before ask students and staff to bring in unwanted CDs and when they go to department stores to pick up a hand full from the “AOL” displays at the front of the store. Kelvin.com has these little red “rims” that fit into the center of CDs to allow the CD wheel to fit onto a 1/4-inch dowel rod. Students should determine the speed of their vehicle by measuring the time it takes the vehicle to cover the distance from the bottom of the ramp (beginning of the horizontal surface) to some pre-determined point (i.e. 2-meters). Do not measure the time it takes to cover the distance on the ramp as this is non-uniform motion and the equation v= d/t is not valid for that situation. Allowing students to use this equation in this situation will give them acceptable data but will begin a major misconception that will be very difficult to remedy in later grades. SAMPLE DATA TABLE: Vehicle’s Trip mass ( kg ) distance ( m ) Trial 1 2 3 displacement ( m ) time ( s ) avg Steps for making a motion diagram: 1. Draw a box or a dot representing the object at the start and end of the time of interest. 2. Draw a box or a dot representing the object at two or three equally spaced intermediate times. If the object is traveling at a constant rate, these will be equally spaced. If it is speeding up, they will get progressively further apart. If it is slowing down, they will get progressively closer together. 3. Draw a vector (arrow) over each box representing the velocity at that point. The vector will point in the direction of motion and its length will represent the relative speed of the object at that point. Label these vectors "V." 4. If the object is speeding up or slowing down, draw another vector above them representing the acceleration. The acceleration will be proportional to the difference between a velocity vector and the one previous to it in time; it will point in the same direction as the V vectors if the object is speeding up and the opposite direction if it is slowing down. 5. If the object turns around and comes back, you may want to make two motion Draft - 1/26/2009 47 diagrams for clarity; one from the start until the point that the object turns around, and the other from the point it turns around to the end. An object at rest on a horizontal surface has no horizontal forces acting on it. Vertically it has the force of gravity pulling it downward and the force of the surface it is resting on pushing it upward with the same magnitude, thus keeping it at rest due to balanced forces in the vertical direction. An object at rest on an inclined ramp now has horizontal forces acting on it. The force of gravity is now broken down into components, one acting perpendicular to the inclined ramp and one acting parallel to the inclined ramp. The component of the force of gravity that is parallel to the inclined ramp causes the object (vehicle in this case) to move down the ramp, if that component is greater than the force of friction between the object and the surface of the ramp. Speed, velocity, acceleration, and momentum are all related to the motion of an object. The speed of an object can be defined as the rate at which distance is covered. In other words, the total distance traveled is divided by the time elapsed while traveling that distance (a rate is some quantity divided by time). The velocity of an object is only slightly different in that it includes a direction and can be calculated as the total displacement divided by the time elapsed during travel. Displacement is how far, in a straight line, your ending point is from your point of origin. If you went from home to school and back home again, your ending point and your point of origin are the same, therefore your displacement would be zero. This would give you a velocity of zero because displacement divided by any elapsed time would still be zero velocity. Displacement is a vector quantity, so if the object travels 10 meters north and then backtracks 8 meters south, the total displacement is 2 meters north with north being the direction and could be represented with a positive or negative sign. Speed and velocity can be the same IF and ONLY IF the object travels in straight line motion in one direction. If you are looking for an average speed from school to home, you would add the two speeds together and divide by 2. But when you add the two velocities together, along with their directions which are represented in terms of the velocity going to school being positive and velocity coming back home being negative, you would see how they could cancel each other out and you could have an average velocity of zero. Uniform motion is very rare in the real world, however since it is easy to begin with speed in a straight line motion in one direction, students easily confuse speed and velocity. It is critical that you make certain students understand the limitations of the calculations of distance divided by elapsed time. Most motion involves some form of acceleration. Acceleration is defined as the change in velocity, not just a change in speed. This causes most people to think of acceleration only as an increase in speed, but that is not true. A decrease in speed is also acceleration, referred to as a negative acceleration because the acceleration vector points in the direction opposite the velocity vector (lay people will call this deceleration). The most uncommon form of acceleration is a change in direction only. An object can be moving at a constant Draft - 1/26/2009 48 speed but be changing its direction and that is an acceleration (referred to as centripetal acceleration). If acceleration is defined as a change in velocity and velocity includes direction, then a change in direction is a change in velocity and therefore is acceleration. This means there are three different possibilities for acceleration: increasing speed, decreasing speed, or changing direction (because velocity includes direction). Momentum is a moving inertia and can be defined as the objects mass multiplied by its velocity. So a more massive object has more momentum than a less massive object when they are both moving at the same velocity. If two objects have the same mass but one is moving at a greater velocity, that one has the greater momentum. Newton's First Law states that an object will remain at rest or in uniform motion in a straight line unless acted upon by an external force. It may be seen as a statement about inertia, that objects will remain in their state of motion unless a force acts to change the motion. Any change in motion involves acceleration, and then Newton's Second Law applies; in fact, the First Law is just a special case of the Second Law for which the net external force is zero. Newton’s Second Law states than when a non-zero net external force acts on an object, the motion of the object will change. Stated in equation form, Fnet = ma. This net force should be defined as the rate of change of momentum, or momentum (mv) divided by time. Stated in equation form: /t = ma. (Notice when the mass cancels v out on both sides we have the basic equation for acceleration: a = /t .) Newton's third law: All forces in the universe occur in equal but oppositely directed pairs. There are no isolated forces; for every external force that acts on an object there is a force of equal magnitude but opposite direction which acts back on the object which exerted that external force. In the case of internal forces, a force on one part of a system will be countered by a reaction force on another part of the system so that an isolated system cannot by any means exert a net force on the system as a whole. A system cannot "bootstrap" itself into motion with purely internal forces - to achieve a net force and acceleration, it must interact with an object external to itself. Force on Driver in Example Car Crash http://hyperphysics.phy-astr.gsu.edu/hbase/hframe.html For a car crash scenario where a car stops in 1 foot from a speed of 30 mi/hr, what is the force on the driver? Assume a 160 lb (mass = 5 slugs) driver. If firmly held in non-stretching seatbelt harness: stopping distance = 1 ft. • • Deceleration = 967 ft/s2 = 294 m/s2 = 30 g's Non-stretching seatbelt Force = 4813 lb = 21412 N = 2.4 tons If not wearing a seatbelt, stopping distance determined by nature of collision with windshield, Draft - 1/26/2009 49 steering column, etc.: stopping distance = 0.2 ft. • • Deceleration = 4836 ft/s2 = 1474 m/s2 = 150 g's No seatbelt! Force = 24068 lb = 107059 N = 12 tons!! If seat belt harness stretches, increasing stopping distance by 50%: 1.5 ft. • • Deceleration = 645ft/s2 = 197 m/s2 = 20 g's Stretching seatbelt Force = 3209 lb = 14274 N = 1.6 tons These calculated numbers assume constant deceleration (aka negative acceleration), and are therefore an estimate of the average force of impact. Formative Assessment Rubrics: Graphing Rubric Category Labeling of X axis Labeling of Y axis Draft - 1/26/2009 4 3 The X axis has a clear, neat label for the independent variable "Time" that includes the units "seconds". The Y axis has a clear, neat label for the dependent variable "Distance" that includes the units "meters". 2 The X axis has a clear label for the independent variable "Time" that includes the units "seconds". The Y axis has a clear label for the dependent variable "Distance" that includes the units "meters". 1 The X axis has a label for the independent variable "Time". 0 The X axis is not labeled. The Y axis has a label for the dependent variable "Distance". The Y axis is not labeled. 50 Title Title is creative and clearly relates to the problem being graphed (includes dependent and independent variable). It is printed at the top of the graph. Title clearly relates to the problem being graphed (includes dependent and independent variable) and is printed at the top of the graph. A title is present at the top of the graph. A title is not present. Accuracy of Plot All points are plotted correctly and are easy to see. A ruler is used to neatly connect the points or make the bars, if not using a computerized graphing program. All points are plotted correctly and are easy to see. All points are plotted correctly. Points are not plotted correctly OR extra points were included. Points are not plotted. Type of Graph Chosen Graph fits the data well and makes it easy to interpret. Graph is adequate and does not distort the data, but interpretation of the data is somewhat difficult. Graph distorts the data somewhat and interpretation of the data is somewhat difficult. Graph seriously distorts the data making interpretation almost impossible. No graph was selected, only data points are shown. Exceptionally well designed: 1) neat, 2) done in pencil, 3) used a ruler, and 4) on graph paper (or graphing computer program). Well designed with 3 of the following: 1) neat, 2) done in pencil, 3) used a ruler, and 4) on graph paper. Well designed with 2 of the following: 1) neat, 2) done in pencil, 3) used a ruler, and 4) on graph paper. Well designed with 1 of the following: 1) neat, 2) done in pencil, 3) used a ruler, and 4) on graph paper. Neatness Draft - 1/26/2009 51 Interval Selection All four of the following criteria are present: 1) Intervals are spread out appropriately; 2) Intervals are equal in size; 3) Intervals are labeled correctly; 4) Intervals begin with zero. Three of the following criteria are present: 1) Intervals are spread out appropriately; 2) Intervals are equal in size; 3) Intervals are labeled correctly; 4) Intervals begin with zero. Two of the following criteria are present: 1) Intervals are spread out appropriately; 2) Intervals are equal in size; 3) Intervals are labeled correctly; 4) Intervals begin with zero. Only one of the following criteria is present: 1) Intervals are spread out appropriately; 2) Intervals are equal in size; 3) Intervals are labeled correctly; 4) Intervals begin with zero. LAB REPORT RUBRIC Category Cover Page Problem Statement and Materials Vehicle Drawing Data Table 4 Includes all of the following: 1) Identifies vehicle; 2) Identifies author of lab report; 3) class time; 4) date. Problem is restated. All materials used in the experiment are clearly and accurately listed. 3 Includes 3 of the following: 1) Identifies vehicle; 2) Identifies author of lab report; 3) class time; 4) date. 2 Includes 2 of the following: 1) Identifies vehicle; 2) Identifies author of lab report; 3) class time; 4) date. 1 Includes 1 of the following: 1) Identifies vehicle, 2) Identifies author of lab report; 3) class time; 4) date. 0 No cover page provided. Problem is restated. Almost all materials used in the experiment are clearly listed. Problem is restated. Most of the materials used in the experiment are listed. Problem is not restated. Many materials are listed inaccurately Problem is not restated. Materials are not described at all. Well designed with all of the following: 1) neat, 2) done in pencil, 3) used a ruler, and 4) has labels. Well designed with 3 of the following: 1) neat, 2) done in pencil, 3) used a ruler, and 4) has labels. Well designed with 2 of the following: 1) neat, 2) done in pencil, 3) used a ruler, and 4) has labels. Well designed with 1 of the following: 1) neat, 2) done in pencil, 3) used a ruler, and 4) has labels. No drawing submitted. Data in the table is complete, accurate, well organized, and easy to read. Data in the table is complete, accurate, and organized. Data in the table is complete and organized. Data in the table is organized. A data table is not present. Draft - 1/26/2009 52 Calculations Includes all of the following: 1) equation; 2) unknowns; 3) correct numerical answer; 4) correct units. Includes 3 of the following: 1) equation; 2) unknowns; 3) correct numerical answer; 4) correct units. Includes 2 of the following: 1) equation; 2) unknowns; 3) correct numerical answer; 4) correct units. Includes 1 of the following: 1) equation; 2) unknowns; 3) correct numerical answer; 4) correct units. No calculations are shown. Scientific Concepts Report illustrates an accurate and thorough understanding of motion, forces, and momentum. Report illustrates an accurate understanding of motion, forces, and momentum. Report illustrates a limited understanding of motion, forces, and momentum. Report illustrates a limited understanding of motion and forces but not momentum. Report illustrates inaccurate understanding of motion, forces, and momentum. Summary Summary describes the skills learned, the information learned and some personal applications to real life situations. One or no errors in spelling, punctuation and grammar in the report. Summary describes the skills learned, the information learned and some possible applications to real life situations. Summary describes the information learned and one possible application to a real life situation. Summary describes the information learned but not real life applications. No summary is written. Two errors in spelling, punctuation and grammar in the report. Three errors in spelling, punctuation and grammar in the report. Four errors in spelling, punctuation and grammar in the report. More than 4 errors in spelling, punctuation and grammar in the report. Spelling, Punctuation and Grammar Students will turn in a lab report with data analysis and conclusion questions completed. Students could also do a class presentation of their vehicle design performance. Post-Activity Discussion: Go over lab questions as class after students have worked on questions. Check for student understanding. Ask students if they could do the lab over - what would they do differently and why? Ask students how might the lab relate to them in 2-3 years? Post-Test: 8th Draft - 1/26/2009 53 1. Describe the forces acting on the occupant(s) when the vehicle is at rest on a horizontal surface, while it is traveling at a uniform speed along the horizontal surface (neglecting friction), and when the vehicle comes to rest after the crash. Draw diagrams to explain each situation. When the vehicle is at rest on a horizontal surface, there are two forces acting on the Diagram 1 on occupant occupants: gravitational force acting downward and an equal and opposite force acting upward from the seat of the Occupant vehicle (refer to Diagram 1). When the vehicle is moving at a uniform speed along the horizontal surface, there are two additional forces acting on the occupants, one acting in the F of gravity direction of motion and the on occupant other in the opposite direction of motion which is friction between the occupant and the seat (refer to Diagram 2). When the vehicle comes to rest after the crash, the same forces are acting on it as before it began to move: the gravitational force and the upward (normal) force (refer back to Diagram 1). F of seat 2. Describe the force that causes a vehicle on a steep hill to begin to roll down the hill. Use diagrams in your explanation. The force that causes the vehicle to roll down the hill is a component of the force of gravity acting on the vehicle. The full force of gravity (perpendicular to the Earth) acting on the vehicle is separated into two components, one perpendicular to the hill, the other parallel to the hill. In Diagram 2 it is labeled as the Force “of gravity pulling vehicle down hill”. Draft - 1/26/2009 54 F of hill on vehicle F of hill Diagram 2 on vehicle (perpendicular) F of friction on vehicle HILL Vehicle F of gravity pulling vehicle down hill F of gravity on vehicle (perpendicular) F of gravity on vehicle θ 3. Explain why the force you described in Question #2 is able to set the vehicle in motion down the hill. The force pulling the vehicle down the hill is greater than the force of friction holding the vehicle in place on the hill. Therefore the forces are unbalanced and the vehicle is able to move in the direction of the larger force. 4. How do the speed, acceleration, velocity, and momentum affect an occupant before, during, and after a car crash (car is traveling at a constant speed in a straight line and then impacts with a stationary object)? Since speed, velocity, acceleration, and momentum are all related to the motion of an object, they all affect the occupant of a vehicle before during and after a crash. The speed and velocity of the occupant before the crash are the same as that of the vehicle, both are constant and numerically equal to each other. Also, both the vehicle and the occupant have zero acceleration before the crash because the vehicle has a constant speed in straight line motion (ignoring friction). The occupant has a specific momentum based on his/her mass and velocity. During the crash, the speed and velocity of the occupant are rapidly decreasing due to a large negative acceleration (refer to second motion diagram in Question # 10). The momentum of the occupant is the reason (s)he has the tendency to continue on the original path of motion. The outside force of the stationary object (wall) changed the momentum of the vehicle, causing it to accelerate negatively and stop, but there needs to be an outside force acting on the occupant to change his/her momentum. This outside force could be a seat belt, a windshield, or the pavement. This is why we wear seat belts, it is the wisest choice! After the crash, the speed and velocity of the occupant have been reduced to zero by the negative acceleration that resulted from the seat belt. The acceleration is also zero because the occupant is at rest. Since the occupant now has zero velocity, his/her momentum is also zero. Draft - 1/26/2009 55 5. If the same force is applied to 2 objects with different masses, how will the objects accelerate? The object with the smaller mass will have a larger acceleration than the object with the greater mass if the same force is applied to both. We know this from experience: if you try to pull or push a wagon or wheelbarrow that is empty vs. one that is fully loaded, you know that it requires more force from you to move the one that is fully loaded. 6. According to the following data table, which vehicle has more momentum? Explain your answer. Object mass velocity Car 1500 kg -20 m/s (west) Truck 2500kg +2 m/s (east) SUV 1900 kg +8.5 m/s (north) Car = (1500kg)(-20m/s) = -30,000kgm/s (west) Truck = (2500kg)(+2m/s) = +5,000kgm/s (east) SUV = (1900kg)(+8.5m/s) = +16,150kgm/s (north) The car has the largest momentum because it’s mass and velocity combined yield the greatest numeric value. The direction (positive or negative) does not indicate a larger or smaller value, just the direction of travel. 7. Use a Venn diagram to compare and contrast speed with velocity. SPEED VELOCITY uses distance uses displacement elapsed time scalar quantity includes direction vector quantity 8. Draw a motion diagram of you standing in the aisle of the school bus that is a accelerating forward. v v v v v Draft - 1/26/2009 56 Then draw a motion diagram of you on the same bus when the bus driver slams on a the brakes. v v v v v 9. Explain how the Engineering Design Process is similar to the scientific method. The EDP is a cyclic process that usually includes the following steps: identify a need or problem; research the need or problem; develop possible solutions; select the best possible solution; construct a prototype; test/evaluate; communicate results; redesign to improve. The scientific method is a more rigid linear process that includes the following steps: ask a question; do background research; form a hypothesis; test the hypothesis, analyze data; draw conclusions; communicate results. The main difference between the two processes is the opportunity to improve or redesign your product (or process). Engineers value failure as part of the learning process whereas scientists sometimes hide their failures and move to a new project. Post-Test: 9th 1. Describe the forces acting on the occupant(s) before the vehicle starts moving, while it is traveling down the ramp, and when the vehicle comes to rest after the crash. Draw force diagrams to explain each situation. Before the vehicle starts moving, there are two forces acting on the occupants: gravitational force is acting downward and an equal and opposite force is acting upward from the seat of the vehicle (refer to Diagram 1). Once the vehicle begins to move down the ramp, there are two additional forces acting on the occupants, both parallel to the ramp, one acting in the same direction of motion which is a component of the weight of the occupant that is parallel to the ramp, and the other in the opposite direction of motion which is friction between the occupant and the seat (refer to Diagram 2). When the vehicle comes to rest after the crash, the same forces are acting on it as before it began to move: the gravitational force F of vehicle on occupant and the upward (normal) force (refer back to Diagram 1). Diagram 1 It is important to note that the two forces act perpendicular to the ground, not RAMP to the occupant. Gravitational force always acts perpendicular to the Earth. The two forces can be separated into their x- and y-components on an axis that aligns with the ramp. This will allow you to determine the forces that are perpendicular to the occupant, if necessary. Draft - 1/26/2009 θ Occupant θ F of gravity on occupant θ 57 F of seat on occupant of friction on occupant F Diagram12 Diagram θ F ofonseat occupant RAMP (perpendicular) Occupant F of gravity θ on occupant (perpendicular) F of gravity pulling occupant down ramp F of gravity on occupant Note that the two forces acting parallel to the ramp can be translated such that they originate from the center of the occupant. This makes it easier for the students to see how one makes the occupant move down the ramp and the other resists that motion. Once the red vector is separated into its x- and y-components, it can be removed from the diagram (refer to Diagram 3). θ F of seat Diagram 3 F of friction on occupant (perpendicular) on occupant RAMP Occupant F of gravity pulling occupant down ramp F of gravity on occupant (perpendicular) θ 2. How do the speed, acceleration, velocity, and momentum affect an occupant before, during, and after a car crash (car is traveling at a constant speed in a straight line and then impacts with a stationary object)? Since speed, velocity, acceleration, and momentum are all related to the motion of an object, they all affect the occupant of a vehicle before during and after a crash. The speed and velocity of the occupant before the crash are the same as that of the vehicle, both are constant and numerically equal to each other. Also, both the vehicle and the occupant have zero acceleration before the crash because the vehicle has a constant speed in straight line motion (ignoring friction). The occupant has a specific momentum based on his/her mass and velocity. During the crash, the speed and velocity of the occupant are rapidly decreasing due to a large negative acceleration (refer to second motion diagram in Question # 10). The momentum of the occupant is the reason (s)he has the tendency to continue on the original path of motion. The outside force of the stationary object (wall) changed the momentum of the vehicle, causing it to accelerate negatively and stop, but there needs to be an outside force Draft - 1/26/2009 58 acting on the occupant to change his/her momentum. This outside force could be a seat belt, a windshield, or the pavement. This is why we wear seat belts, it is the wisest choice! After the crash, the speed and velocity of the occupant have been reduced to zero by the negative acceleration that resulted from the seat belt. The acceleration is also zero because the occupant is at rest. Since the occupant now has zero velocity, his/her momentum is also zero. 3. If the same force is applied to 2 objects with different masses, how will the objects accelerate? The object with the smaller mass will have a larger acceleration than the object with the greater mass if the same force is applied to both. We know this from experience as well as from Newton’s 2nd Law: a m = F = a m From experience, if you try to pull or push a wagon or wheelbarrow that is empty vs. one that is fully loaded, you know that it requires more force from you to move the one that is fully loaded. 4. Draw an example of Newton’s First Law you see in the classroom and explain. Answers will vary. Example: Student sitting in a desk – a body at rest will remain at rest until an outside force acts on it to set it in motion. 5. Write an example of Newton’s Second Law and explain. Answers will vary. Example: When I kick the soccer ball, it accelerates in the same direction of the force I exert on it. If I were to kick a bowling ball (greater mass than soccer ball) with the same force (ouch!), it would have a smaller acceleration. 6. Give an example of Newton’s third Law that you experienced today. Answers will vary. Example: When I sat on the seat I exerted a downward force on it and it exerted an upward force on my butt so I did not crash through the seat and fall to the floor. 7. According to the following data table, which object has more momentum? Explain your answer. Object mass velocity Car 1500 kg -20 m/s (west) Truck 2500kg +2 m/s (east) SUV 1900 kg +8.5 m/s (north) Car = (1500kg)(-20m/s) = -30,000kgm/s (west) Truck = (2500kg)(+2m/s) = +5,000kgm/s (east) SUV = (1900kg)(+8.5m/s) = +16,150kgm/s (north) The car has the largest momentum because it’s mass and velocity combined yield the greatest numeric value. The direction (positive or negative) does not indicate a larger or smaller value, just the direction of travel. Draft - 1/26/2009 59 8. Draw a speed vs. time graph of a car accelerating down a hill, then moving on level ground, and finally coming to a stop. v t 9. Imagine you are on a planet that has no gravity and you throw a softball. Use Newton’s First Law of Motion to describe what would happen. Because there is no gravity, the softball would move in the direction I threw it and I would move in the opposite direction. Our momenta would be equal, but the softball would have a greater velocity because it has a smaller mass than I do. 10. Use a Venn diagram to compare and contrast speed with velocity. SPEED VELOCITY uses distance uses displacement elapsed time scalar quantity includes direction vector quantity 11. Draw a motion diagram of you standing in the aisle of the school bus that is a accelerating forward. v v v v v Draft - 1/26/2009 60 Then draw a motion diagram of you on the same bus when the bus driver slams on a the brakes. v v v v v 12. Explain how the Engineering Design Process is similar to the scientific method. The EDP is a cyclic process that usually includes the following steps: identify a need or problem; research the need or problem; develop possible solutions; select the best possible solution; construct a prototype; test/evaluate; communicate results; redesign to improve. The scientific method is a more rigid linear process that includes the following steps: ask a question; do background research; form a hypothesis; test the hypothesis, analyze data; draw conclusions; communicate results. The main difference between the two processes is the opportunity to improve or redesign your product (or process). Engineers value failure as part of the learning process whereas scientists sometimes hide their failures and move to a new project. Post-Test Rubric: 8th Grade QUESTION 1. Describe the forces acting on the occupant(s) when the vehicle is at rest on a horizontal surface, while it is traveling at a uniform speed along the horizontal surface (neglecting friction), and when the vehicle comes to rest after the crash. Draw diagrams to explain each situation. Draft - 1/26/2009 4 Explanation indicates a clear and accurate understanding of gravitational force acting downward and an equal and opposite force acting upward which includes all of the following: (1) when the vehicle is at rest on a horizontal surface; (2) when the vehicle is moving at a uniform speed along the horizontal surface; (3) when the vehicle comes to rest after the crash; and 3 Explanation indicates an understanding of gravitational force acting downward and an equal and opposite force acting upward which includes three of the following: (1) when the vehicle is at rest on a horizontal surface; (2) when the vehicle is moving at a uniform speed along the horizontal surface; (3) when the vehicle comes to rest after the crash; and (4) a diagram. 2 Explanation indicates an understanding of gravitational force acting downward and an equal and opposite force acting upward which includes two of the following: (1) when the vehicle is at rest on a horizontal surface; (2) when the vehicle is moving at a uniform speed along the horizontal surface; (3) when the vehicle comes to rest after the crash; and (4) a diagram. 1 Explanation indicates an understanding of gravitational force acting downward and an equal and opposite force acting upward which includes one of the following: (1) when the vehicle is at rest on a horizontal surface; (2) when the vehicle is moving at a uniform speed along the horizontal surface; (3) when the vehicle comes to rest after the crash; and (4) a diagram. 0 Explanation indicates no understanding of gravitational force acting downward and an equal and opposite force acting upward. 61 (4) a diagram. 2. Describe the force that causes a vehicle on a steep hill to begin to roll down the hill. Use diagrams in your explanation. 3. Explain why the force you described in Question #2 is able to set the vehicle in motion down the hill. Draft - 1/26/2009 Response includes an explanation that indicates a clear and accurate understanding that the force that causes the vehicle to roll down the hill is a component of the force of gravity acting on the vehicle. Response also includes a diagram showing the force parallel to the hill. Explanation indicates a clear and accurate understanding which includes all of the following: (1) the force pulling the vehicle down the hill is greater than the force of friction holding the vehicle in place on the hill; (2) the forces are unbalanced; and (3) the vehicle is able to move in the direction of the larger force. Response includes an explanation that indicates an understanding that the force that causes the vehicle to roll down the hill is a component of the force of gravity acting on the vehicle. Response also includes a diagram showing the force parallel to the hill. Response indicates the force that causes the vehicle to roll down the hill is a force that acts parallel to the hill and points towards the bottom of the hill or response only refers to the force as "gravity". Response also includes a diagram. Response indicates the force that causes the vehicle to roll down the hill is a force that acts parallel to the hill and points towards the bottom of the hill; or response only refers to the force as "gravity"; or response only uses a diagram. Response indicates no understanding that the force that causes the vehicle to roll down the hill is a component of the force of gravity acting on the vehicle. No diagram is present. Explanation indicates an understanding which includes all of the following: (1) the force pulling the vehicle down the hill is greater than the force of friction holding the vehicle in place on the hill; (2) the forces are unbalanced; and (3) the vehicle is able to move in the direction of the larger force. Explanation includes two of the following: (1) the force pulling the vehicle down the hill is greater than the force of friction holding the vehicle in place on the hill; (2) the forces are unbalanced; and (3) the vehicle is able to move in the direction of the larger force. Explanation includes one of the following: (1) the force pulling the vehicle down the hill is greater than the force of friction holding the vehicle in place on the hill; (2) the forces are unbalanced; and (3) the vehicle is able to move in the direction of the larger force. Explanation indicates no understanding that the force pulling the vehicle down the hill is greater than the force of friction holding the vehicle in place on the hill and the forces are unbalanced which causes the vehicle is able to move in the direction of the larger force. 62 4. How do the speed, acceleration, velocity, and momentum affect an occupant before, during, and after a car crash (car is traveling at a constant speed in a straight line and then impacts with a stationary object)? Draft - 1/26/2009 Explanation indicates a clear and accurate understanding that speed, velocity, acceleration, and momentum are all related to the motion of the occupant and includes at least 8 of the following: Before the crash (1) speed & velocity are constant and numerically equal to each other; (2) acceleration is zero; and (3) momentum is based on occupant's mass and velocity. During the crash (4) speed & velocity are rapidly decreasing; (5) large negative acceleration; (6) momentum of occupant provides the tendency to continue on the original path of motion; (7) need an outside force on occupant to change his/her momentum. After the crash (8) speed & velocity are Explanation indicates an understanding that speed, velocity, acceleration, and momentum are all related to the motion of the occupant and includes at least 6 of the following: Before the crash (1) speed & velocity are constant and numerically equal to each other; (2) acceleration is zero; and (3) momentum is based on occupant's mass and velocity. During the crash (4) speed & velocity are rapidly decreasing; (5) large negative acceleration; (6) momentum of occupant provides the tendency to continue on the original path of motion; (7) need an outside force on occupant to change his/her momentum. After the crash (8) speed & velocity are zero; (9) acceleration is Explanation indicates that speed, velocity, acceleration, and momentum are all related to the motion of the occupant and includes at least 4 of the following: Before the crash (1) speed & velocity are constant and numerically equal to each other; (2) acceleration is zero; and (3) momentum is based on occupant's mass and velocity. During the crash (4) speed & velocity are rapidly decreasing; (5) large negative acceleration; (6) momentum of occupant provides the tendency to continue on the original path of motion; (7) need an outside force on occupant to change his/her momentum. After the crash (8) speed & velocity are zero; (9) acceleration is zero; (10) momentum is Explanation includes at least 2 of the following: Before the crash (1) speed & velocity are constant and numerically equal to each other; (2) acceleration is zero; and (3) momentum is based on occupant's mass and velocity. During the crash (4) speed & velocity are rapidly decreasing; (5) large negative acceleration; (6) momentum of occupant provides the tendency to continue on the original path of motion; (7) need an outside force on occupant to change his/her momentum. After the crash (8) speed & velocity are zero; (9) acceleration is zero; (10) momentum is zero. Explanation indicates no understanding that speed, velocity, acceleration, and momentum are all related to the motion of the occupant. 63 5. If the same force is applied to 2 objects with different masses, how will the objects accelerate? Draft - 1/26/2009 zero; (9) acceleration is zero; (10) momentum is zero. zero; (10) momentum is zero. zero. Response states in a clear and accurate manner that the object with the smaller mass will have a larger acceleration than the object with the greater mass if the same force is applied to both and that we know this from experience. Response includes an example: if you try to pull a wagon or push a wheelbarrow that is empty vs. one that is fully loaded, you know that it requires more force to move the one that is fully loaded. Response states that the object with the smaller mass will have a larger acceleration than the object with the greater mass if the same force is applied to both and that we know this from experience. Response includes an example: if you try to pull a wagon or push a wheelbarrow that is empty vs. one that is fully loaded, you know that it requires more force to move the one that is fully loaded. Response states that the object with the smaller mass will have a larger acceleration than the object with the greater mass if the same force is applied to both and that we know this from experience. Response does not include an example. Response states that the object with the smaller mass will have a larger acceleration than the object with the greater mass if the same force is applied to both but does not state how we know this. Response does not include an example. Response states that the object with the smaller mass will have a smaller acceleration than the object with the larger mass if the same force is applied to both OR the object with the larger mass will have a larger acceleration than the object with the smaller mass if the same force is applied to both. 64 6. According to the data table, which object has more momentum? Explain your answer. 7. Use a Venn diagram to compare and contrast speed with velocity. 8. Draw a motion diagram of you standing in the Draft - 1/26/2009 Explanation indicates a clear and accurate understanding that the car has the largest momentum because it’s mass and velocity combined yield the greatest numeric value. The direction (positive or negative) does not indicate a larger or smaller value, just the direction of travel. Response shows a clear and accurate 2-circle Venn diagram with "Speed" and "Velocity" identifying each circle. The overlap must identify the commonality as "elapsed time". Differences should include 2 of the following: (1) distance vs. displacement; (2) scalar vs. vector; (3) includes direction (velocity). Diagram Includes all of the following: Bus accelerating Explanation indicates an understanding that the car has the largest momentum because it’s mass and velocity combined yield the greatest numeric value. The direction (positive or negative) does not indicate a larger or smaller value, just the direction of travel. Explanation indicates that the car has the largest momentum because it’s mass and velocity (or speed) combined yield the greatest numeric value. Explanation indicates that the vehicle with the largest mass OR the largest velocity (or speed) has the largest momentum because momentum is determined by mass and velocity. Explanation indicates no understanding that the largest momentum involves the mass and velocity combined. Response shows a 2circle Venn diagram with "Speed" and "Velocity" identifying each circle. The overlap must identify the commonality as "elapsed time". Differences should include 1 of the following: (1) distance vs. displacement; (2) scalar vs. vector; (3) includes direction (velocity). Response shows a 2circle Venn diagram with "Speed" and "Velocity" identifying each circle. The overlap identifies the commonality as "time". Differences should include 1 of the following: (1) distance vs. displacement; (2) scalar vs. vector; (3) includes direction (velocity). Response shows a 2circle Venn diagram with "Speed" and "Velocity" identifying each circle with only 1 of the following: the overlap identifying the commonality as "time"; differences including: distance vs. displacement; scalar vs. vector; or (velocity) includes direction. Response does not include a 2-circle Venn diagram. Diagram Includes 4 of the following: Bus accelerating Diagram Includes 2 of the following: Bus accelerating Diagram Includes 1 of the following: Bus accelerating No attempt at a motion diagram. 65 aisle of the school bus that is accelerating forward. Then draw a motion diagram of you on the same bus when the bus driver slams on the brakes. Draft - 1/26/2009 forward (1) begins with blocks close together and spreading apart as time elapses; (2) shows increasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks increases; and (3) one acceleration vector (arrow) pointing in the same direction as the velocity vectors. Bus slamming on brakes (4) begins with blocks far apart and get closer as time elapses; (5) shows decreasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks decreases; and (6) one acceleration vector (arrow) pointing in the OPPOSITE direction as the velocity vectors. forward (1) begins with blocks close together and spreading apart as time elapses; (2) shows increasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks increases; and (3) one acceleration vector (arrow) pointing in the same direction as the velocity vectors. Bus slamming on brakes (4) begins with blocks far apart and get closer as time elapses; (5) shows decreasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks decreases; and (6) one acceleration vector (arrow) pointing in the OPPOSITE direction as the velocity vectors. forward (1) begins with blocks close together and spreading apart as time elapses; (2) shows increasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks increases; and (3) one acceleration vector (arrow) pointing in the same direction as the velocity vectors. Bus slamming on brakes (4) begins with blocks far apart and get closer as time elapses; (5) shows decreasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks decreases; and (6) one acceleration vector (arrow) pointing in the OPPOSITE direction as the velocity vectors. forward (1) begins with blocks close together and spreading apart as time elapses; (2) shows increasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks increases; and (3) one acceleration vector (arrow) pointing in the same direction as the velocity vectors. Bus slamming on brakes (4) begins with blocks far apart and get closer as time elapses; (5) shows decreasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks decreases; and (6) one acceleration vector (arrow) pointing in the OPPOSITE direction as the velocity vectors. 66 9. Explain how the Engineering Design Process is similar to the scientific method. Response states 4 of the following in a clear and accurate manner: (1) the EDP is a cyclic process; (2) identifies all the EDP steps; (3) the scientific method is a linear process; (4) identifies all the steps; and (5) the main difference is the opportunity to improve or redesign your product (or process). Response states 3 of the following: (1) the EDP is a cyclic process; (2) identifies all the EDP steps; (3) the scientific method is a linear process; (4) identifies all the steps; and (5) the main difference is the opportunity to improve or redesign your product (or process). Response states 2 of the following: (1) the EDP is a cyclic process; (2) identifies all the EDP steps; (3) the scientific method is a linear process; and (4) identifies all the steps. Response states 1 of the following: (1) the EDP is a cyclic process; (2) identifies all the EDP steps; (3) the scientific method is a linear process; and (4) identifies all the steps. Response shows no understanding of OR states there are no similarities between the EDP and the scientific method. Pre-Test Rubric: 9th Grade QUESTION Draft - 1/26/2009 4 3 2 1 0 67 1. Describe the forces acting on the occupant(s) before the vehicle starts moving, while it is traveling down the ramp, and when the vehicle comes to rest after the crash. Draw force diagrams to explain each situation. 2. How do the speed, acceleration, velocity, and momentum affect an occupant before, during, and after a car crash (car is traveling at a constant speed in a straight line and then impacts with a stationary object)? Draft - 1/26/2009 Explanation indicates a clear and accurate understanding of gravitational force acting downward (perpendicular to Earth) and an equal and opposite force acting upward at all times. These forces can be separated into components, giving the two forces acting parallel to the ramp, one in the direction of motion which is a component of the weight of the occupant, and the other in the opposite direction of motion which is friction. Explanation indicates a clear and accurate understanding that speed, velocity, acceleration, and momentum are all related to the motion of the occupant and includes at least 8 of the following: Before the crash (1) Explanation indicates an understanding of gravitational force acting downward (perpendicular to Earth) and an equal and opposite force acting upward at all times. These forces can be separated into components, giving the two forces acting parallel to the ramp, one in the direction of motion which is a component of the weight of the occupant, and the other in the opposite direction of motion which is friction. Explanation indicates an understanding of gravitational force acting downward (perpendicular to Earth) and an equal and opposite force acting upward at all times. The explanation mentions separating these forces into components, but only mentions one force parallel to the ramp. Explanation indicates an understanding of gravitational force acting downward (perpendicular to Earth) and separating this force into components. Explanation indicates no understanding of gravitational force acting downward or its component acting parallel to the ramp. Explanation indicates an understanding that speed, velocity, acceleration, and momentum are all related to the motion of the occupant and includes at least 6 of the following: Before the crash (1) speed & velocity are Explanation indicates that speed, velocity, acceleration, and momentum are all related to the motion of the occupant and includes at least 4 of the following: Before the crash (1) speed & velocity are constant and Explanation includes at least 2 of the following: Before the crash (1) speed & velocity are constant and numerically equal to each other; (2) acceleration is zero; and (3) momentum is based on occupant's mass and velocity. Explanation indicates no understanding that speed, velocity, acceleration, and momentum are all related to the motion of the occupant. 68 speed & velocity are constant and numerically equal to each other; (2) acceleration is zero; and (3) momentum is based on occupant's mass and velocity. During the crash (4) speed & velocity are rapidly decreasing; (5) large negative acceleration; (6) momentum of occupant provides the tendency to continue on the original path of motion; (7) need an outside force on occupant to change his/her momentum. After the crash (8) speed & velocity are zero; (9) acceleration is zero; (10) momentum is zero. Draft - 1/26/2009 constant and numerically equal to each other; (2) acceleration is zero; and (3) momentum is based on occupant's mass and velocity. During the crash (4) speed & velocity are rapidly decreasing; (5) large negative acceleration; (6) momentum of occupant provides the tendency to continue on the original path of motion; (7) need an outside force on occupant to change his/her momentum. After the crash (8) speed & velocity are zero; (9) acceleration is zero; (10) momentum is zero. numerically equal to each other; (2) acceleration is zero; and (3) momentum is based on occupant's mass and velocity. During the crash (4) speed & velocity are rapidly decreasing; (5) large negative acceleration; (6) momentum of occupant provides the tendency to continue on the original path of motion; (7) need an outside force on occupant to change his/her momentum. After the crash (8) speed & velocity are zero; (9) acceleration is zero; (10) momentum is zero. During the crash (4) speed & velocity are rapidly decreasing; (5) large negative acceleration; (6) momentum of occupant provides the tendency to continue on the original path of motion; (7) need an outside force on occupant to change his/her momentum. After the crash (8) speed & velocity are zero; (9) acceleration is zero; (10) momentum is zero. 69 3. If the same force is applied to 2 objects with different masses, how will the objects accelerate? 4. Draw an example of Newton’s First Law you see in the classroom and explain. Draft - 1/26/2009 Response states in a clear and accurate manner that the object with the smaller mass will have a larger acceleration than the object with the greater mass if the same force is applied to both and that we know this from experience as well as from Newton’s 2nd Law. Response includes Newton's 2nd Law (F=ma) and an example: if you try to pull a wagon or push a wheelbarrow that is empty vs. one that is fully loaded, you know that it requires more force to move the one that is fully loaded. Drawing is clean and neat and explanation indicates a clear and accurate understanding that an object at rest will remain at rest Response states that the object with the smaller mass will have a larger acceleration than the object with the greater mass if the same force is applied to both and that we know this from experience as well as from Newton’s 2nd Law. Response includes Newton's 2nd Law (F=ma) and an example: if you try to pull a wagon or push a wheelbarrow that is empty vs. one that is fully loaded, you know that it requires more force to move the one that is fully loaded. Response states that the object with the smaller mass will have a larger acceleration than the object with the greater mass if the same force is applied to both and that we know this from experience as well as from Newton’s 2nd Law. Response does not include an example. Response states that the object with the smaller mass will have a larger acceleration than the object with the greater mass if the same force is applied to both but does not state how we know this. Response does not include an example. Response states that the object with the smaller mass will have a smaller acceleration than the object with the larger mass if the same force is applied to both OR the object with the larger mass will have a larger acceleration than the object with the smaller mass if the same force is applied to both. Drawing is clean and neat and explanation indicates an understanding that an object at rest will remain at rest or an object in motion will Drawing is clean and neat and explanation indicates either an object at rest will remain at rest OR an object in motion will remain in Only a drawing, no explanation of Newton's First Law. No drawing and either no explanation or explanation indicates no understanding of Newton's First Law. 70 5. Write an example of Newton’s Second Law and explain. Draft - 1/26/2009 or an object in motion will remain in motion until an unbalanced force causes a change in its motion. Example is clearly written and correctly describes Newton's Second Law (i.e. kicking a soccer ball and a bowling ball with the same force will yield different accelerations). Explanation indicates a clear and accurate understanding of Newton's Second Law or F=ma. remain in motion until an unbalanced force causes a change in its motion. motion until an unbalanced force causes a change in its motion. Example correctly describes Newton's Second Law (i.e. kicking a soccer ball and a bowling ball with the same force will yield different accelerations). Explanation indicates an understanding of Newton's Second Law or F=ma. Example weakly describes Newton's Second Law (i.e. kicking a soccer ball and it moves it accelerates). Explanation indicates some understanding of Newton's Second Law or F=ma. Either an example or explanation of Newton's Second Law, not both. Example and/or explanation indicates no understanding of Newton's Second Law. 71 6. Give an example of Newton’s third Law that you experienced today. 7. According to the data table, which object has more momentum? Explain your answer. 8. Draw a Draft - 1/26/2009 Example is realistic, clearly written, and correctly describes Newton's Third Law (i.e. kicking a bowling ball applies a force to the ball to move it but the ball also applies a force to my foot because it hurts). Explanation indicates a clear and accurate understanding of Newton's Third Law or for every force there is an equal and opposite force. Explanation indicates a clear and accurate understanding that the car has the largest momentum because it’s mass and velocity combined yield the greatest numeric value. The direction (positive or negative) does not indicate a larger or smaller value, just the direction of travel. The graph is Example is realistic and correctly describes Newton's Third Law (i.e. kicking a bowling ball applies a force to the ball to move it but the ball also applies a force to my foot because it hurts). Explanation indicates an understanding of Newton's Third Law or for every force there is an equal and opposite force. Example correctly describes Newton's Third Law (i.e. kicking a bowling ball applies a force to the ball to move it but the ball also applies a force to my foot because it hurts). Explanation indicates some understanding of Newton's Third Law or for every force there is an equal and opposite force. Example weakly describes Newton's Third Law. Example incorrectly describes Newton's Third Law. Explanation indicates an understanding that the car has the largest momentum because it’s mass and velocity combined yield the greatest numeric value. The direction (positive or negative) does not indicate a larger or smaller value, just the direction of travel. Explanation indicates that the car has the largest momentum because it’s mass and velocity (or speed) combined yield the greatest numeric value. Explanation indicates that the vehicle with the largest mass OR the largest velocity (or speed) has the largest momentum because momentum is determined by mass and velocity. Explanation indicates no understanding that the largest momentum involves the mass and velocity combined. The graph has The graph has The graph has No graph is 72 speed vs. time graph of a car accelerating down a hill, then moving on level ground, and finally coming to a stop. Draft - 1/26/2009 clean and neat with both axes labeled; it has all of the following correct: (1) the line begins with a positive slope, either at zero speed or some initial speed, and increases for some elapsed time; (2) then the slope is zero for an elapsed time while the car is moving on level ground; and finally (3) the slope is negative to indicate a negative acceleration, slowing down, or decreasing the speed to zero. all of the following correct: (1) the line begins with a positive slope, either at zero speed or some initial speed, and increases for some elapsed time; (2) then the slope is zero for an elapsed time while the car is moving on level ground; and finally (3) the slope is negative to indicate a negative acceleration, slowing down, or decreasing the speed to zero. 2 of the following correct: (1) the line begins with a positive slope, either at zero speed or some initial speed, and increases for some elapsed time; (2) then the slope is zero for an elapsed time while the car is moving on level ground; and finally (3) the slope is negative to indicate a negative acceleration, slowing down, or decreasing the speed to zero. 1 of the following correct: (1) the line begins with a positive slope, either at zero speed or some initial speed, and increases for some elapsed time; (2) then the slope is zero for an elapsed time while the car is moving on level ground; and finally (3) the slope is negative to indicate a negative acceleration, slowing down, or decreasing the speed to zero. provided or the wrong type of graph (i.e. a distance vs. time) is provided. 73 9. Imagine you are on a planet that has no gravity and you throw a softball. Use Newton’s First Law of Motion to describe what would happen. Draft - 1/26/2009 Explanation indicates a clear and accurate understanding of Newton's First Law that includes all of the following: the softball would (1) continue to move in a straight line (2) at the same speed with which it left your hand (3) indefinitely, unless it collides with some object that will provide an unbalanced force to change its motion. With no gravity (4) there is no unbalanced force to bring the softball down to the surface of the planet. Explanation indicates an understanding of Newton's First Law that includes 3 of the following: the softball would (1) continue to move in a straight line (2) at the same speed with which it left your hand (3) indefinitely, unless it collides with some object that will provide an unbalanced force to change its motion. With no gravity (4) there is no unbalanced force to bring the softball down to the surface of the planet. Explanation includes 2 of the following: the softball would (1) continue to move in a straight line (2) at the same speed with which it left your hand (3) indefinitely, unless it collides with some object that will provide an unbalanced force to change its motion. With no gravity (4) there is no unbalanced force to bring the softball down to the surface of the planet. Explanation includes 1 of the following: the softball would (1) continue to move in a straight line (2) at the same speed with which it left your hand (3) indefinitely, unless it collides with some object that will provide an unbalanced force to change its motion. With no gravity (4) there is no unbalanced force to bring the softball down to the surface of the planet. Explanation indicates no understanding of Newton's First Law. 74 10. Use a Venn diagram to compare and contrast speed with velocity. 11. Draw a motion diagram of you standing in the aisle of the school bus that is accelerating forward. Then draw a motion diagram of you on the same bus when the bus driver slams on the brakes. Draft - 1/26/2009 Response shows a clear and accurate 2-circle Venn diagram with "Speed" and "Velocity" identifying each circle. The overlap must identify the commonality as "elapsed time". Differences should include 2 of the following: (1) distance vs. displacement; (2) scalar vs. vector; (3) includes direction (velocity). Diagram Includes all of the following: Bus accelerating forward (1) begins with blocks close together and spreading apart as time elapses; (2) shows increasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks increases; and (3) one acceleration Response shows a 2circle Venn diagram with "Speed" and "Velocity" identifying each circle. The overlap must identify the commonality as "elapsed time". Differences should include 1 of the following: (1) distance vs. displacement; (2) scalar vs. vector; (3) includes direction (velocity). Response shows a 2circle Venn diagram with "Speed" and "Velocity" identifying each circle. The overlap identifies the commonality as "time". Differences should include 1 of the following: (1) distance vs. displacement; (2) scalar vs. vector; (3) includes direction (velocity). Response shows a 2circle Venn diagram with "Speed" and "Velocity" identifying each circle with only 1 of the following: the overlap identifying the commonality as "time"; differences including: distance vs. displacement; scalar vs. vector; or (velocity) includes direction. Response does not include a 2-circle Venn diagram. Diagram Includes 4 of the following: Bus accelerating forward (1) begins with blocks close together and spreading apart as time elapses; (2) shows increasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks increases; and (3) one acceleration Diagram Includes 2 of the following: Bus accelerating forward (1) begins with blocks close together and spreading apart as time elapses; (2) shows increasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks increases; and (3) one acceleration Diagram Includes 1 of the following: Bus accelerating forward (1) begins with blocks close together and spreading apart as time elapses; (2) shows increasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks increases; and (3) one acceleration No attempt at a motion diagram. 75 vector (arrow) pointing in the same direction as the velocity vectors. Bus slamming on brakes (4) begins with blocks far apart and get closer as time elapses; (5) shows decreasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks decreases; and (6) one acceleration vector (arrow) pointing in the OPPOSITE direction as the velocity vectors. Draft - 1/26/2009 vector (arrow) pointing in the same direction as the velocity vectors. Bus slamming on brakes (4) begins with blocks far apart and get closer as time elapses; (5) shows decreasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks decreases; and (6) one acceleration vector (arrow) pointing in the OPPOSITE direction as the velocity vectors. vector (arrow) pointing in the same direction as the velocity vectors. Bus slamming on brakes (4) begins with blocks far apart and get closer as time elapses; (5) shows decreasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks decreases; and (6) one acceleration vector (arrow) pointing in the OPPOSITE direction as the velocity vectors. vector (arrow) pointing in the same direction as the velocity vectors. Bus slamming on brakes (4) begins with blocks far apart and get closer as time elapses; (5) shows decreasing length of velocity vectors (arrows) pointing in the same direction that the separation of the blocks decreases; and (6) one acceleration vector (arrow) pointing in the OPPOSITE direction as the velocity vectors. 76 12. Explain how the Engineering Design Process is similar to the scientific method. Response states 4 of the following in a clear and accurate manner: (1) the EDP is a cyclic process; (2) identifies all the EDP steps; (3) the scientific method is a linear process; (4) identifies all the steps; and (5) the main difference is the opportunity to improve or redesign your product (or process). Response states 3 of the following: (1) the EDP is a cyclic process; (2) identifies all the EDP steps; (3) the scientific method is a linear process; (4) identifies all the steps; and (5) the main difference is the opportunity to improve or redesign your product (or process). Response states 2 of the following: (1) the EDP is a cyclic process; (2) identifies all the EDP steps; (3) the scientific method is a linear process; and (4) identifies all the steps. Response states 1 of the following: (1) the EDP is a cyclic process; (2) identifies all the EDP steps; (3) the scientific method is a linear process; and (4) identifies all the steps. Response shows no understanding of OR states there are no similarities between the EDP and the scientific method. Extension: Ask students to check the position of seat head rests in their family car. Should the headrest be in the up or down position? Justify your answer using examples from the lab. Have students research which cars are the safest and why. How does the safest car compare to their car design? Students can do more than one modification design. Around lab day four - students are told each member is from a different country and no one speaks the same language. Therefore students cannot verbally communicate. Career Connection: Car Designer Safety Engineer Product Testing Engineer Mechanical Engineer Technical Writer Research & Development Trucker Additional Resources: Purpose and Application www.kelvin.com Material supplier teachertech.rice.edu/Participants/louviere/N Explains Newton’s Laws of Motion ewton/ www.teachertube.com/view_video.php?view Video clips you can show students that Draft - 1/26/2009 77 key=f5b8c02c0e46513b98f9 explain Newton’s laws. Teacher Reflections: Were students focused and on task throughout the lesson? If not, what improvements could be made the next time this lesson is used? Were the students led too much in the lesson or did they need more guidance? How did students demonstrate that they were actively learning? Did you find it necessary to make any adjustments during the lesson? What were they? Did the materials that the students were using affect classroom behavior or management? What were some of the problems students encountered when using the …? Are there better items that can be used next time? Which ones worked particularly well? Additional Comments: Draft - 1/26/2009 78 Draft - 1/26/2009 79