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Vocabulary Term Definition Force Inertia Newton Net Force Newton’s 1st Law Newton’s 2nd Law Newton’s 3rd Law 1|Page Newton’s 1st Law of Motion Every body persists in its state of rest or of uniform motion in a straight line unless it is compelled to change that state by unbalanced forces impressed on it. ~ISAAC NEWTON The principle we describe as Newton’s first law was actually first discovered by Galileo. (Many of Newton’s “discoveries” originated with people other than Sir Isaac.) Before Galileo, the explanation for natural motion was the one put forth by Aristotle. Aristotle theorized that things move to find their natural place in the universe and come to rest when they get there. Galileo, on the other hand, proposed that objects maintain their state of motion: If they are at rest, they remain at rest unless acted on by an external force. Easy enough. But Galileo went on to say that objects moving in a straight line with constant speed (constant velocity, in other words) remain moving in a straight line with constant speed, unless acted upon by an external force. “That’s so dumb,” charged Galileo’s many antagonists (Galileo had a knack for making enemies), “you’re saying that if I set a brick into motion on a tabletop, it will maintain constant velocity? Get outta town!” “Of course not, propeller-heads!” Galileo explained. “In the case of the brick, a frictional force acts on the brick to bring it to rest. But consider an experiment I’ve done:” Of course, the ball does not continue forever. Air resistance and rolling friction forces slow the ball to a stop. But if a ball were given a push in deep space, it would travel an exceedingly long distance before being acted on by external forces. To understand a concept like this we need to “undress nature.” We must look past superficial complexity to see the simple characteristics of nature. Once the fundamental properties are understood, we can take into account other, more complex factors. The simple characteristic of nature that Newton points out is that objects are “lazy.” If they are at rest, they have no “desire” to get up and move. If they are to move, something else will have to kick them in the rear (providing the unbalanced external force). If they are moving at a constant velocity, they will continue at constant velocity. If a force pushes them along, they will go faster. If a force pushes against them, they will slow down. The “laziness” of matter is called inertia. Formally, inertia is defined as the resistance a body offers to changes in its state of motion and applies to moving and non-moving objects. 2|Page Newton’s 1st Law of Motion Newton’s 1st Law of motion Main Ideas is also know as the law of Definition of inertia: Unless acted upon by an Applying Newton’s 1st Law of motion Explain according to Newton’s 1st law of motion what would happen to the person in the car below if they crashed into the wall using the terms inertia, state of motion, and unbalanced NEWTON’S FIRST LAW OF MOTION (aka: _______________________________) force. States: An Object ____________________________________________________________ ____________________________________________________________________ ____________________________________________________________________ ___________ is the property of an object that resists changes in motion. 3|Page Class Work 1. Which has more inertia a bowling ball or a golf ball? __________________ 2. Objects with more mass have more ____________ and are more __________ ____________ to changes in their motion. 3. Mac and Tosh are arguing in the cafeteria. Mac says that if he flings the Jell-O with a greater speed it will have a greater inertia. Tosh argues that inertia does not depend upon speed, but rather upon mass. Who do you agree with? Explain why. __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ 4. Fred spends most Sunday afternoons at rest on the sofa, watching pro football games and consuming large quantities of food. What effect (if any) does this practice have upon his inertia? Explain. __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ 4|Page Notes – Newton’s Second Law John and Joe have a grocery cart race. John pushes a loaded grocery cart; Joe pushes an empty grocery cart. Joe wins the race. Why? John Joe Joe and his little brother Junior have a grocery cart race. Joe wins the race. Why? Joe Junior 1. When a grocery cart is pushed by a person, a(n) __________ __________ acts on the cart and the cart __________. 2. The acceleration of an object is directly proportional to the net force acting on it. This means that, as the net force acting on the object increases, the acceleration of the object __________. 5|Page Newton’s 2nd Law of Motion states: The acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to the object’s mass. 2nd law abbreviated using symbols: ∑F = ma ∑F = sum of the forces m = mass a = acceleration Newton’s 2nd law relates the net force on an object, the mass of the object, and acceleration. It states that the stronger the net force on an object, __________________________ If twice the net force is applied, the acceleration will be _______________ as great. The acceleration of an object is _____________________ proportional to the net applied force and __________________________ proportional to the mass. ∑F a m NEWTON’S 2ND LAW Formula Want to find What you know acceleration (a) force (F) and mass (m) force (F) acceleration (a) and mass (m) mass (m) acceleration (a) and force (F) 6|Page Formula Newton’s 2nd Law No Acceleration Net Force Net force is _____________. Same Direction Objects are at _____ or moving with constant __________. Opposite Direction 7|Page NEWTON’S SECOND LAW Formula Want to find What you know acceleration=Force/mass force (F) and mass (m) Force =mass x acceleration acceleration (a) force (F) acceleration (a) and mass (m) Mass = Force/ acceleration mass (m) acceleration (a) and force (F) F a m Class Work 1. A 1650 kg car accelerates at a rate of 4.0 m/s2. How much force is the car's engine producing? Looking For Given Relationship Solution 2. A tennis ball, 0.314 kg, is accelerated at a rate of 164 m/s2 when hit by a professional tennis player. What force does the player's tennis racket exert on the ball? Looking For Given Relationship Solution 3. A crate is dragged across an ice covered lake. The box accelerates at 0.08 m/s2 and is pulled by a 47 N force. What is the mass of the box? Looking For Given Relationship Solution 8|Page Group Work 1. What is the rate of acceleration of a 2,000-kilogram truck if a force of 4,200 N is used to make it start moving forward? Looking For Given Relationship Solution 2. What is the acceleration of a 0.30 kilogram ball that is hit with a force of 25 N? Looking For Given Relationship Solution 3. How much force is needed to accelerate a 68 kilogram-skier at a rate of 1.2 m/sec2? Looking For Given Relationship Solution 4. What is the mass of an object that requires a force of 30 N to accelerate at a rate of 5 m/sec2? Looking For Given Relationship Solution 5. What is the force on a 1,000 kilogram-elevator that is falling freely under the acceleration of gravity only? Looking For Given Relationship Solution 6. What is the mass of an object that needs a force of 4,500 N to accelerate it at a rate of 5 m/sec2? Looking For Given Relationship Solution 7. What is the acceleration of a 6.4 kilogram bowling ball if a force of 12 N is applied to it and it experiences a 4-N frictional force? Looking For Given Relationship Solution 9|Page HomeWork (10 points) 1. What is the rate of acceleration of a 1,000-kilogram truck if a force of 4,200 N is used to make it start moving forward? Looking For Given Relationship Solution 2. What is the acceleration of a 0.30 kilogram ball that is hit with a force of 50 N? Looking For Given Relationship Solution 3. How much force is needed to accelerate a 68 kilogram-skier at a rate of 1.2 m/sec2? Looking For Given Relationship Solution 4. What is the mass of an object that requires a force of 30 N to accelerate at a rate of 5 m/sec2? Looking For Given Relationship Solution 5. What is the mass of an object that needs a force of 4,500 N to accelerate it at a rate of 5 m/sec2? Looking For Given Relationship Solution 10 | P a g e Newton’s 3rd Law ACTION states that Forces are equal in Forces are opposite in 11 | P a g e REACTION Newton’s 2nd Law of Motion Physics Introduction Consider two students, of different masses on low friction carts able to pull on each other with a rope. Consider the force that each student exerts on the other during the pull of the rope. What motion results in each case? Does it depend on the mass of the students? For each situation described below, predict what you think will happen to each person. You will then perform the action described and compare the actual result to your prediction. Draw and carefully label a diagram for each of the students during each interaction. Use arrows to indicate which direction the force is acting. Directions Student 1 should pull on the rope while student 2 holds the rope. How far will each student move? Does your answer depend on the mass of each student? Is your answer related to the force that each student exerts? Explain. Prediction: Result: Student 1 Student 2 Student 2 should pull on the rope while student 1 holds the rope. How far will each student move? Does your answer depend on the mass of each student? Is your answer related to the force that each student exerts? Explain. Prediction: Result: Student 1 Student 2 Both students should pull on their respective scales. How far will each student move? Does your answer depend on the mass of each student? Is your answer related to the force that each student exerts? Explain. Prediction: Result: Student 1 12 | P a g e Student 2 Introduction: Newton’s 1st Law – An object in motion will stay in motion and an object at rest will stay at rest unless acted on by an outside force (such as friction and air resistance). Newton’s 2nd Law – Force, mass, and acceleration are all related. Force = mass x acceleration Newton’s 3rd Law – Every action has an equal and opposite reaction. Materials: Hovercraft, Stopwatch, Meter Stick, Weights or Heavy Books, Skateboard, rolling chair, or anything that rolls Procedure: 1. Begin by having one person sit on the cart. Have another person give the sitting person a light push. Measure how far this person rolled and record below. 2. Have this same person sit on the Hovercraft while it is running. Have the other person give the sitting person the same light push. Measure how far this person rolled and record below. 3. Next, have a person sit on the Hovercraft and give him or her a push. Time how long the person takes to come to a stop. 4. Now place weights or heavy books on the Hovercraft with the same person and give him or her the same amount push as before. Again measure the time it takes for the person to come to a s stop and record the results below. 5. Have one person sit on the hovercraft and the other sit on the rolling chair or skateboard. Have each person put their hands flat against each other and push off. Notice what happens to each person. Data Table: Distance student on cart rolled = __________ Distance student on hovercraft moved = __________ Time it took for the student on hovercraft to stop = __________ Time it took for the student on hovercraft with weights to stop = __________ 13 | P a g e Analysis: Directions: Answer the following questions on a separate sheet of paper. 1. Newton’s 1st law says an object in motion will stay in motion and an object at rest will stay at rest unless acted on by an outside force. Why did the student on the rolling chair or skateboard stop rolling so soon after he or she was pushed? Why did the hovercraft eventually come to a stop also? Does this disprove or prove Newton’s 1st Law? Explain your answer. 2. Using Newton’s 2nd Law, explain the difference in time for the student to stop with and without weights. How was the student’s acceleration affected? How does time relate to acceleration? 3. When the 2 students pushed off each other, what happened? Why did this happen and how does this relate to Newton’s 3rd Law? 14 | P a g e Project - The Inertia Car Due: Weight: 50 points Individual: You are on your own! Objective Construct a vehicle to roll down a ramp and down a hallway using only the inertia of the vehicle as the source of energy. Materials Disqualified Any body of a commercial toy vehicle. (You ARE permitted to cannibalize any other parts from a toy). Synopsis You are to construct a vehicle using any materials of your choosing. Your vehicle must roll down the hallway in front of room 303, as far as possible. The only source of energy permitted is the inertia of the vehicle. That means, no motors, rubber bands, chemicals, projectiles, etc. The vehicle will be launched from the top of a 1.96-m long wooden ramp , set at a 20 angle with respect to the horizontal. The ramp, which does not have side rails is approximately 28.5-cm wide. (you have the option of rolling your vehicle down a different ramp that is 1.22 meters long and 20.5-cm wide that has guard rails, but you can only roll your vehicle down one ramp or the other). Finally, your vehicle must be seasonally decorated to qualify. Rules 1. Vehicles may not utilize the bodies of commercial toy vehicles (ex: car, train, planes, etc) 2. Vehicle may not exceed the following dimensions: Width 28.5 or 20.5-cm; Height 30cm; length 30 cm. 3. The vehicle must have a mass 0.5 kg to qualify. 4. The vehicle must be seasonally decorated to qualify. 5. You must construct the vehicle. You are not permitted to purchase kits such as pinewood derby racers. 6. Your vehicle must resemble a car, truck, or motorcycle (ie minimum of 2 wheels) and you are not permitted to add masses to your car. If the body and wheels of your car do not add to at least 500 grams you will need to brainstorm how you can qualify for the minimum mass requirement. You can add passengers to your vehicle. 7. Points will be awarded for the mass of the vehicle. The lightest vehicle in the class will receive 6 points. Other vehicles will be grouped into 3 groups: Light = 5 pts; Medium = 3 pts; Heavy = 1 pt. The heaviest vehicle in the class receives zero pts. 8. Vehicles traveling a minimum distance of 1-m earn 10 points. Shorter runs receive zero points. 9. Only one trial is permitted. 15 | P a g e 10. In the event that the vehicle crashes/touches into the side walls of the hallway, the point of collision will serve as the final position of the vehicle. 11. The vehicle travels far for its mass. The vehicle with the largest ratio of distance/mass will receive 6 points. Other vehicles will be grouped into 3 groups, awarded points as follows: Large = 5 pts; Medium = 3 pts; Small = 1 pt. The smallest ratio in the class receives zero pts. Scoring Vehicle is constructed according to the rules. Vehicle mass Vehicle travels minimum distance requirement Vehicle travels far for its mass 30 pts Up to 6 points 10 points Up to 6 points 16 | P a g e Performance Assessment General Physics You are a skateboarder who has been asked to compete at the state x-games by your skater buddies and will be wowing the world with your fearless feats. When you take the x-games cup, your buddies want explanations for your gravity defying performance. Write an e-mail describing the stunts used during your competition. Explain how you used Newton’s laws of motion to ace each stunt. Include five stunts identifying at least one Law per stunt. All three laws must be used. PERFORMANCE ASSESSMENT: EXTREME GAMES PERFORMANCE LEVELS CRITERIA FOR SUCCESS Number of Stunts Explained Accuracy of Scientific Terms Newton’s 1st Law Newton’s 2nd Law Newton’s 3rd Law 5 Tony Hawk 5 fully explained 4 Ranked 4 fully explained No mistakes 1 mistake Fully explained and relevant to stunt(s) Fully explained and relevant to stunt(s) Fully explained and relevant to stunt(s) Partially explained and relevant to stunt(s) Partially explained and relevant to stunt(s) Partially explained and relevant to stunt(s) 3 Pretty Decent 2 Better keep the pads 1 Crash and Burn 3 fully explained 2 fully explained 1 fully explained 2 mistakes 3 mistakes 4 mistakes Explanation incorrect or not relevant to stunt(s) Explanation incorrect or not relevant to stunt(s) Explanation incorrect or not relevant to stunt(s) Explanation incorrect and not relevant to stunt(s) Explanation incorrect and not relevant to stunt(s) Explanation incorrect and not relevant to stunt(s) Explanation missing Explanation missing Explanation missing 17 | P a g e