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9/13 BELL WORK What can you catch but not throw? Hint: Over winter break I caught a _____. It was horrible! 9/13 SCHEDULE Finish Measurement Test and turn in (15 -20 minutes) Notes 11 .1 “Observing Motion” Observe motion Assignments: UNIT : MOTION EVERYBODY’S DOING THE LOCOMOTION… Objectives: 1. Describe force and motion. 2. Analyze relationship between force and motion 3. Calculate rates of change (velocity and acceleration). Ch 11 WHAT IS MOTION? Based on the pictures below, what do you think motion is? Can you figure out which way the people are moving? How CH 11.1 : MEASURING MOTION Objectives 1. Use a frame of reference to describe motion. 2. Distinguish between speed and velocity. 3. Create and use graphs to study speed. MEASUREMENT DEVICES How do you measure motion? • Measure distance, or how far something goes. • Measure time, or how long a motion takes. • Measure speed, or how fast something is moving. Each of the devices shown below can be used to measure some aspect of motion. DEVICES, CONTINUED 1. Do these devices measure distance, time, or speed? 2. What units are possible for a measurement: meters (m), seconds (s), or meters per second (m/s)? OBSERVING MOTION When an object changes position with respect to a frame of reference, the object is in motion. frame of reference: a system for determining the exact location of objects in space and time multiple FoR possible, and can seem to contradict each other. Is the girl in the train moving? OBSERVING MOTION, CONTINUED Distance vs Displacement Distance measures the path taken. • Displacement is the change of an object’s position. •ALWAYS includes direction. • In the diagram: – Distance = yellow line – Displacement = black arrow OBSERVING MOTION, CONTINUED Examples… Earth travels about 583 million miles around the sun every year. Distance = 583 mil mi Displacement = 0 mi Where should you be at this time tomorrow? Distance = travel around school, home, and back Displacement = 0 mi REVIEW Frame of Reference is similar to point of view. Defined by place and time Can contradict each other/ have different answers. Distance vs Displacement Distance measures path. Displacement measures change in relative position and MUST include a direction. SPEED AND VELOCIT Y Speed vs. velocity 〉Speed = how fast an object moves. 〉Velocity = the speed and the direction that the object moves. Example speed: 75 mph velocity: 75 mph east on I-10 SPEED AND VELOCIT Y, CONTINUED Velocity is described relative to a reference point. Direction is described as positive or negative along the line of motion. Up and right are usually positive, and left and down are negative. The canon has negative velocity. The cannonball has positive velocity. SPEED AND VELOCIT Y, CONTINUED Combined velocities determine the resultant velocity. Speed is ALWAYS positive, velocity can be + or -. Example Plane flies 500 km/h with a 100 km/h tailwind. Plane appears to be going… 500 km/h in the plane, 600 km/h on the ground. 9/14 BELL WORK What gets wetter and wetter the more it dries? 9/14 SCHEDULE Notes 11 .1 “Observing Motion” Domino Speed Lab Collect data today, start on questions Assignments: MARBLE OBSERVATIONS – 20 MINUTES Need 5 marbles and a ruler. Use a pencil/pen like a pool cue to make 1 marble hit the other 4 like the diagram. “Shoot” the marble 3 times from each position. How does where the marble hit af fect the others? Compare the speed of the shooter with the others. Why is the shooter usually larger than the other marbles? 2 1 MARBLE OBSERVATIONS – 20 MINUTES Need 5 marbles and a ruler. Use a pencil/pen like a pool cue to make 1 marble hit the other 4 like the diagram. “Shoot” the marble 3 times from each position. Record distance the 4 marbles in the center traveled in a labeled chart. Find the average. 30 cm 2 30 cm 1 MARBLE OBSERVATIONS Questions: Did the 4 marbles react the same every time they were struck? Why? The “shooter” marble travelled 30 cm. Did the other marbles move the same/more/ less distance? Why do you think this is? How could you make the marbles take a curved path? CALCULATING SPEED Average speed is calculated as distance divided by time. distance d speed = , or v = time t • Metric unit for speed: meters per second (m/s) • constant speed: equal distances in equal amounts of time • instantaneous speed: the speed at a given time MATH SKILLS Velocity Metal stakes are sometimes placed in glaciers to help measure glacial movement. For several days in 1936, Alaska’s Black Rapids glacier surged as swiftly as 89 meters per day down the valley. Find the glacier ’s velocity in m/s. Remember to include direction. 1. List the given and the unknown values. time, t = 1 day distance, d = 89 m down the valley velocity, v = ? (m/s and direction) MATH SKILLS, CONTINUED 2a. Perform any necessary conversions. To find the velocity in meters per second, the value for time must be in seconds. distance d speed = , or v = time t t = 86 400 s = 8.64 x 10 4 s MATH SKILLS, CONTINUED 2b. Write the equation for speed. distance d speed = , or v = time t 3. Insert the known values into the equation, and solve. d 89 m v= = (For velocity, include direction.) 4 t 8.64 ´ 10 s v = 1.0 ´ 10-3 m/s down the valley GRAPHING MOTION • Motion can be studied using a distance vs. time graph. – time (x-axis) = independent variable – distance (y-axis) = dependent variable • The slope of a distance vs. time graph equals speed. GRAPHING SKILLS Calculating Slope Remember slope is change in y / change in x. Or - - (y 2 -y 1 ) / (x 2 -x 1 ) Rise/run GRAPHING SKILLS, CONTINUED 1 . Choose two points that you will use to calculate the slope. Point 1: t = 1 s and d = 6 m Point 2: t = 4 s and d = 12 m 2. Calculate the vertical change and the horizontal change. ver tical change = 12 m – 6 m = 6m horizontal change = 4 s – 1 s = 3 s GRAPHING SKILLS, CONTINUED 3. Divide the vertical change by the horizontal change. slope = 6 m /3 s = 2 m/s 9/15 BELL WORK Don’t use a calculator. Careful on the exponent. 379.1 x 10 -4 = ? 9/15 SCHEDULE Set up charts and graphs for Your Speed Lab Finish Domino Speed Lab – Turn in Assignments: 1. Domino Speed Lab due TODAY MEASURING YOUR SPEED LAB Materials Meter stick Stopwatch Calculator Masking tape Determine the average time for 4 people in your group to walk and jog 6 m and then 12 m. Set up charts to collect data and graphs today. Also include places to calculate your group’s 4 average speeds. 9/16 BELL WORK A typist increased her speed from 60 words per minute to 75 wpm. What percent did her speed increase? 9/16 SCHEDULE Your Speed Lab Turn Domino Speed Lab – LATE Assignments: 1. Domino Speed Lab LATE MEASURING YOUR SPEED LAB Materials Meter stick Stopwatch Calculator Masking tape Determine the average time for 4 people in your group to walk and jog 6 m and then 12 m. Set up charts to collect data and graphs today. Also include places to calculate your group’s 4 average speeds. 9/19 BELL WORK Sid Shady is in prison planning his escape. The cell is 3 x 3 x 3 meters. The walls are reinforced concrete and extend 2 m below the dirt floor. The only openings are a locked door and a skylight. Sid has a plan and starts digging. He can’t tunnel out, but it’s crucial to his plan. How does he hope to escape? 9/19 SCHEDULE Velocity Practice Problems in notebooks Notes Ch 11 .2 “Acceleration” Finish Your Speed Lab – due TODAY Velocity and Acceleration Calculations - WED Assignments: 1. Domino Speed Lab LATE 2. Your Speed Lab – TODAY 3. Velocity and Acceleration Calc sheet - WEDNESDAY VELOCIT Y PROBLEMS 1 . What was the equation for speed? 2. Elroy rides the bus every day to school. He's sure that the bus driver is driving too fast, and one day they're going to get pulled over. He rides the bus 12 miles to FTHS and it takes about 9 minutes. Figure out their average speed in mph. Should he be worried? VELOCIT Y PROBLEMS Solve the problems in your notebook. Draw a simple diagram of the situation. 1 . If Steve throws a football 50 m in 3 s, find the speed of the ball. 2. Bart ran 5000 m from the cops at an average speed of 6 m/s before they finally tackled and cuf fed him. How long did he run in minutes? 3. Mike rode his motorcycle 20 m/s for 500 s. How far did he go? CH 11.2 “ACCELERATION” 〉Describe what happens as objects accelerate. 〉Calculate straight-line acceleration. 〉Use a graph to find acceleration. VELOCIT Y REVIEW Velocity involves changes in speed or direction. 1 . Which of the following are changing velocity? Briefly explain. a. a car coming to a stop at a stop sign b. a book sitting on a desk c. a yo-yo in motion d. a bicyclist making a left -hand turn at exactly 15 km/h VELOCIT Y REVIEW 2. If the box wasn’t moving, will its velocity increase or stay the same? In which direction (if any) will the velocity be after the student pulls on the rope? ACCELERATION AND MOTION Acceleration = velocity changes = change in speed, direction, or both ACCELERATION AND MOTION, CONTINUED Acceleration can be a change in speed. An increase OR decrease in speed is an acceleration. Slowing down becomes negative acceleration. ACCELERATION AND MOTION, CONTINUED Acceleration can also be a change in direction. A motorcyclist who rides around the inside of a large barrel is constantly accelerating. A person riding a Ferris wheel is accelerating. Acceleration in a circular motion is centripetal acceleration. CALCULATING ACCELERATION 〉The average acceleration over a given time can be found by dividing the change in the velocity by the time. 〉The formula for straight-line acceleration is… average acceleration = a = v f - vi t v = t final velocity - initial velocity time CALCULATING ACCELERATION, CONTINUED Acceleration is the rate at which velocity changes. + a = velocity increasing—> object is speeding up. - a = velocity decreasing—> object is slowing down. SI units of acceleration = meters per second per second (m/s/s), or m/s 2 MATH SKILLS Acceleration A flowerpot falls of f a second-story windowsill. The flowerpot starts from rest and hits the sidewalk 1 .5 s later with a velocity of 14.7 m/s. Find the average acceleration of the flowerpot. 1 . List the given and the unknown values. Given: time, t = 1.5 s v i = 0 m/s vf = 14.7 m/s down Unknown: acceleration, a = ? (m/s 2 and direction) MATH SKILLS, CONTINUED 2. Write the equation for acceleration. final velocity – initial velocity vf – v i acceleration = = time t 3. Insert the known values into the equation, and solve. a= v f - vi t 14.7 m/s - 0 m/s = 1.5 s 14.7 m/s a= = 9.8 m/s2 down 1.5 s YOUR SPEED LAB Determine the average times for walking 6 m and 12 m, jogging 6 m and 12 m. Graph your data (time is the independent variable) Analysis Questions: 1 . Are your group’s average walking times for 6m and 12 m consistent? Why or why not. 2. Are your group’s average jogging times consistent? 3. What are some sources of error in this lab? 9/20 BELL WORK Which verb past tense does not belong with the others? Why? bring fight buy seek catch teach draw think 9/20 SCHEDULE Notes Ch 11 .2 “Acceleration” Reaction Time Lab Work time Velocity and Acceleration Calculations - WED Assignments: 1. Domino Speed Lab LATE 2. Your Speed Lab – LATE 3. Velocity and Acceleration Calc sheet - WEDNESDAY ACCELERATION PRACTICE PROBLEMS Be sure to include units!! 1 . What is the equation for acceleration? 2. A turtle swimming straight towards shore has a speed of 0.50 m/s. After 4.0 s, its speed is 0.80 m/s. What is its average acceleration? ACCELERATION PRACTICE PROBLEMS 3. Mai's car accelerates at an average rate of 2.6 m/s 2 . How long will it take her car to speed up from 24.6 m/s to 26.8 m/s? REVIEW VELOCIT Y AND ACCELERATION Are these objects changing velocity? Are they accelerating? Why? GRAPHING ACCELERATED MOTION The slope of a straight line on a speed vs. time graph is equal to the acceleration. GRAPHING ACCELERATED MOTION, CONTINUED Acceleration can also be seen on a distance vs. time graph. – Straight lines mean no change in velocity, not accelerating –Curved lines mean the object is changing velocity and accelerating GRAPHING SKILLS Graphing Acceleration A bus traveling on a straight road at 20 m/s uniformly slows to a stop over 20 s. The bus remains stopped for 20 s, then accelerates at a rate of 1 .5 m/s 2 for 10 s, and then continues at a constant speed. Graph speed vs. time for 60 s. What is the bus ’s final speed? 1 . Determine the x-axis and the y-axis of your graph. The x-axis will indicate time, t, measured in s. The yaxis will indicate speed, v, measured in m/s. GRAPHING SKILLS, CONTINUED 2. Starting from the origin, graph each section of the motion. A. Draw and connect the first two points: t = 0 s, v = 20 m/s t = 20 s, v = 0 m/s B. Draw a horizontal line from t = 20 s to t = 40 s at v = 0 m/s. C. Starting at t = 40 s and v = 0 m/s, draw a line with a slope of 1.5 m/s2. D. Draw a horizontal line from t = 50 s to t = 60 s at v = 15 m/s. GRAPHING SKILLS, CONTINUED 3. Read the graph to find the final speed. At time t = 60 s, the speed is 15 m/s. 9/21 BELL WORK Shadow was examining a 14 ½ degree angle using his magnifying glass that makes things 2 times bigger. Under the glass, how large would the angle measure? 9/21 SCHEDULE Review notes Ch 11 .2 “Acceleration” Reaction Time Lab Work time Velocity and Acceleration Calculations - WED Assignments: 1. Domino Speed Lab LATE 2. Your Speed Lab – LATE 3. Velocity and Acceleration Calc sheet - WEDNESDAY VELOCIT Y, DISTANCE, TIME, AND ACCELERATION ID Sort the following words into the correct category: - meters - m/s Quantity - seconds time - meters per s 2 - how long speed - how far - acceleration - v distance - t - d acceleration - a GRAPHING ACCEL PRACTICE Be sure to include units!! Use the graph paper 6. When graphing speed and time, which axis is the speed and which is time? Which is the dependent variable? 7. A car accelerates from a stop at a rate of 2 m/s 2 for 20 s, then continues at a constant speed for 40 s. Graph the speed vs. time of the car. a. What is the slope between 0 and 20 s? _______________ b. What is the slope of the line between 20 and 60 s? ___________________ c. What car's speed at 10 s? What is the final speed? GRAPHING ACCEL PRACTICE Be sure to include units!! Use the graph paper 8. A train traveling at 30 m/s takes 60 seconds to slow to a complete stop. Graph the speed vs. time of the train for 80 s. a. What is the slope of the graph at 30 s? b. What is the slope of the line at 75 s? Is the train accelerating at this point? Why? MIXED VELOCIT Y & ACCELERATION PROBLEMS 1 . What are the equations to find speed and acceleration? What units are usually used? 2. Cheetahs at top speed can run 274 m in 8.65 s. Find the top speed. Is 274 m a distance, speed, time, or acceleration? Is 8.65 s a distance, speed, time or acceleration? Which equation should you use? MIXED VELOCIT Y & ACCELERATION PROBLEMS 3. A plane flys 100 km/hr with respect to the air. If there is a 25 km/hr tailwind, how fast would the plane seem to be going to a person on the ground? 4. Japanese Shinkansen trains travel up to 186 miles per hour. Kai walks 3.1 mph towards the back of a train going at top speed. What is his relative speed? 5. A dog running 1 .5 m/s skids to a stop with an acceleration of -0.35 m/s 2 . How long did it take to stop? CH 11.3 “MOTION AND FORCE” Objectives: 〉Identify and describe the 4 fundamental forces. 〉Explain the effects of a net force on an object. 〉Analyze the causes and effects of friction. INTRO FORCES What keeps the following objects in place? Why do these objects eventually hit the ground? INTRO FORCES Why do these objects keep moving? How can you stop them? FUNDAMENTAL FORCES 4 fundamental forces affect motion. 〉Strong nuclear force, weak nuclear force, gravity, and electromagnetic force. 〉Any other forces are linked back to these. FUNDAMENTAL FORCES Nuclear Forces – ONLY short distances Strong nuclear force holds protons and neutrons together. Weak nuclear force is mostly radioactive decay. FUNDAMENTAL FORCES Gravity: attraction between any 2 objects Electromagnetic Force: caused by magnetism, electric fields, and charged particles 10 36 x Earth’s gravity Friction is a result of the electromagnetic force. There is often more than one force on an object. Little friction + gravity = ouch! FUNDAMENTAL FORCES, CONTINUED Fundamental forces vary in strength and distance at which they act. Contact vs Field Forces Contact Forces – objects must touch Push, pull, slide, roll, etc FUNDAMENTAL FORCES, CONTINUED Contact vs Field Forces Field forces do not require that the objects touch Gravity, magnetism, electrostatic force… Both contact and field forces can cause an object to move or to stop moving. Iron moves, no strings attached. Contact force = air resistance Field force = gravity BALANCED AND UNBALANCED FORCES Effect of 2 or more forces 〉Balanced forces = motion does not change 〉Unbalanced forces = accelerates in the direction of the net force. net force: the combination of all forces acting on an object She doesn’t move until she applies additional force to the ground. BALANCED & UNBALANCED FORCES, Balanced forces do not change motion. Forces are balanced when the net force is zero. Ex: For a light hanging from the ceiling (at rest), the upward force due to tension in the cord balances the downward force of gravity. Floating in the Dead Sea… gravity down = buoyant force up BALANCED AND UNBALANCED FORCES IN ACTION Demonstrate Balanced v. Unbalanced Forces Pair up, stand with feet close together, hold each other’s wrist, and lean apart. What forces do you feel? Are forces balanced? What could cause forces to become unbalanced? What would happen to you if this happened? 10/5 BELL WORK Read’em and Reap wants to give away coloring books. They’ve created a puzzle, so they don’t have to give away too many. The first week of a month without an A in it. On a day of the week with a U in it. The month has no E, but the day does. When will they give away the coloring books? 10/5 SCHEDULE Notes Ch 11 .3 “Motion and Force” Force diagrams in packet ALL assignments so far MUST be in by TUESDAY at 3:30 pm for credit! Assignments: 1. Velocity and Acceleration Practice LATE 2. Acceleration Lab LATE 3. Letter Home - LATE VELOCIT Y AND ACCEL REVIEW PROBS What distance will you travel if you are going 120km/ hr for 30. min? Watch your units! What is the acceleration of a bike that goes from 38 km/ hr to a stop in 4.5 s? BALANCED AND UNBALANCED FORCES IN ACTION Force Diagrams show forces acting on an object. 1. Drawing that represents object 2. Labeled arrows showing forces 3. Units are usually N (newtons) Use your text book to help you explore force diagrams. Push on it according to the arrows, and see what happens. Which way will the ball go? 75 N 75 N BALANCED AND UNBALANCED FORCES IN ACTION Force Diagrams show forces acting on an object. 1. Drawing that represents object 2. Labeled arrows showing forces Math with forces 1. Same direction, add 2. Dif ferent direction, subtract Which way will the ball go? 75 N 75 N BALANCED AND UNBALANCED FORCES IN ACTION What forces are acting on the stationary block? Gravity (points down) Weight of the block vs. Friction (Friction greater since block isn’t moving) Normal force (perpendicular to surface) BALANCED & UNBALANCED FORCES Unbalanced forces do not cancel completely. The object will accelerate towards the net force. Ex: If you push a box east and your friend pushes the box north, the box will accelerate FCB less than FL in a northeasterly direction. REVIEW FORCE DIAGRAMS Draw force diagrams for the following situations: A football is falling after being kicked by the punter. Ignore air resistance A backpack is hanging by one strap from your shoulder. Two students are dragging a couch across the room to the right. REVIEW FORCE DIAGRAMS Force Diagrams Use a box or dot to represent the object Arrows show direction and relative size of forces. Common Considerations and Abbreviations gravity: usually down, F g or F grav friction: oppose motion, F frict Friction moving through air = F air resistance normal: perpendicular to surface contact, F N or F normal applied: push, pull, etc.. F app Things rising through air or water F buoyancy 10/6 BELL WORK Gravity on Mars is one-seventh what it is on Earth. How much do you weigh on Earth? How much would you weigh on Mars? 10/6 SCHEDULE Practice Force Diagrams Notes Ch 11 .3 “Motion and Force” Friction Lab ALL assignments so far MUST be in by TUESDAY at 3:30 pm for credit! Assignments: 1. Velocity and Acceleration Practice LATE 2. Acceleration Lab LATE 3. Letter Home - LATE PRACTICE FORCE DIAGRAMS Draw the force diagrams for these situations. Object on the floor slows due to friction. Light fixture is dangling from the ceiling. Car is being winched uphill. THE FORCE OF FRICTION Friction always opposes the motion when two surfaces are in contact. Results…HEAT!! Friction fire-starting THE FORCE OF FRICTION Static friction is greater than kinetic friction. static friction: the force that resists the initiation of sliding motion between two surfaces that are in contact and at rest kinetic friction: the force that opposes the movement of two surfaces that are in contact and moving over each other. No kinetic friction until he starts to move. THE FORCE OF FRICTION Ex: Is it more difficult to get the couch moving, or keep it moving? THE FORCE OF FRICTION Types of kinetic friction sliding friction: objects slide past each other rolling friction: rounded object rolls over a flat surface in general, rolling friction < sliding friction FRICTION AND MOTION Friction is necessary for many everyday tasks to work correctly. FRICTION AND MOTION Unwanted friction can be lowered. using low-friction materials, such as nonstick coatings on cooking pans lubricants, such as motor oil, wax, and grease FRICTION AND MOTION Helpful friction can be increased. scattering sand on icy roads to keep cars from skidding wearing textured batting gloves wearing cleats to get traction on wet grass FRICTION AND MOTION 10/7 BELL WORK Two mothers and two daughters go shopping. They have 21 $1 bills which they split so each got $7. How is this possible? 10/7 SCHEDULE Practice Force Diagrams Friction Lab Pt 1-2 Ch 11 “Motion” test TUESDAY Assignments: PRACTICE FORCE DIAGRAMS Draw Force Diagrams for the following situations. A hot air balloon is tethered down to keep it from rising. Skier heads downhill. Consider friction and air resistance. 10/8 BELL WORK A utopia is a perfect/ideal/wonderful place. What would you need in a utopia? Why? 10/8 SCHEDULE Get Textbooks Work time Finish Friction Lab – DUE TODAY Finish Force Diagrams packet – DUE TODAY Cross off on back pg: #6-7, 14, 19 “Motion” Ch 11 Review due TUESDAY Ch 11 “Motion” test TUESDAY Assignments: 1. Friction Lab due TODAY 2. Force Diagrams packet due TODAY 3. Motion Review due TUESDAY 10/13 BELL WORK Even if they are starving, natives living in the Artic don’t harvest penguin eggs. Why not? Penguin Distribution 10/13 SCHEDULE Friction Labs? 7 min to study and ask specific questions on material Ch 11 “Motion” test Use paper notes and calculator Assignments: 1. Friction Lab LATE 2. Force Diagrams packet LATE 3. Motion Review due TODAY FRICTION AND MOTION DEMO Friction is a REACTION force. Pushing the desk _____________ results in a ____________ friction force. When you stop pushing, friction _____________. What kind of friction stops the chair from moving? BLOCK FRICTION Find the mass of the wooden block. Convert it to kg. Find maximum angle before the block slides to the end of the meter stick. Record the time needed to slide 1 m. You can calculate the force of the moving block using F = ma. Choose the most useful form of the acceleration equation. USE YOUR NOTES, BOOK, and ELECTRONICS TO SOLVE! CIRCUS FORCE DIAGRAMS What are 4 common forces? Draw force diagrams of a ball in juggler’s hand and in the air. Draw a force diagram for the wooden block