Newton s 3 rd Law Study Guide Chapter 7


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1 1. The Big Idea is for every force there is an equal and opposite force 2. If you lean over and push on a wall, why don t you fall over? The wall pushes back on you 3. When you paddle a kayak, your paddle pushes on the water. What makes the kayak move forward? The water pushes forward on the paddle Section 7.1 Forces and Interactions 4. A force is always part of a(n)_mutual action that involves another force. 5. Describe the interaction forces between a nail and a hammer that hits it and explain why the hammer stops moving. The nail exerts an equal and opposite force on the hammer. The hammer stops because it has an unbalanced force Section 7.2 Newton s Third Law 6. State Newton s 3 rd Law Whenever one object exerts a force on a second object, the second object exerts an equal and opposite force on the first object 7. State the rule for deciding which force is the action force and which is the reaction force It makes no difference which force is called the action force. The other force is called the reaction force. 8. Action and reaction forces are equal in magintude and opposite in direction 9. Describe the reaction force for each of the following To walk, you push on the floor The floor pushes on you A dog wags its tail The tail wags the dog A car s tires push against the road The road pushes on the car s tires You push on a door The door pushes on you Your right hand pushes on your left hand Your left hand pushes on your right hand A baseball bat exerts a force on the ball The ball exerts a force on the bat 10. Use the words action force and reaction force to explain why a person walking on ice might not be able to move forward For a person to walk, it must be possible to apply an action force on the ice. The ice is not able to supply enough of a reaction force to push back on the person. Section 7.3 Identifying Action and Reaction 11. State the two steps for identifying a pair of actionreaction forces a. Determine which two objects are interacting b. If the action force is A on B, then the reaction force is B on A 12. When you drop your smart phone from the top of a building and it falls to the ground, a. The two interacting objects are:_a: smart phone and _B: earth b. The action of A on B is earth pulls phone c. The action of B on A is phone pulls on earth 13. Complete the following table and describe the reaction forces AND their direction A car s tires push backwards on the road Road pushes forward on car s tires A rocket pushes gas out behind Gas pushes forward on rocket A pool ball rolls into another ball and exerts Second ball exerts a force back on the first ball a force on it A swimmer pushes backwards on the water Water pushes forward on swimmer A helicopter s blades push down on the air Air pushes up on blades The earth pulls downward on a falling piano Piano pulls upward on earth 14. Describe the force interaction pair when a ball is falling towards the earth Earth pulls downward on the ball. The ball pulls upward on the earth. Section 7.4 Action and Reaction o n Different Masses 15. When you drop a pencil from your desk, the earth exerts a force on the pencil. How big is the force that the pencil exerts on the earth? The pencil exerts and equal and opposite force on the earth
2 16. State Newton s Second Law Acceleration is directly proportional to the force applied to an object and inversely proportional to its mass. The formula is a = F m 17. When a pencil falls towards the earth, the earth accelerates towards the pencil. Explain using Newton s Second Law why we don t feel the acceleration of the earth towards the pencil (use the formula in your explanation) Both the pencil and the earth feel the same force, but because the earth s mass is very large, its acceleration is very small. Using the formula for the pencil and for the earth, we see the earth accelerates less 18. When you throw a small ball, you exert a force on the ball and it accelerates. Newton s Third Law says that the ball exerts an equal force on you. Explain using Newton s Second Law why you don t go flying backwards as you throw. You both feel the same force, but because you have more mass, you accelerate less than the ball. 19. When a cannonball is fired from a cannon, the force that the cannon exerts on the ball is _equal and opposite to the force the ball exerts on the cannon. 20. Explain why the change in velocity of the cannonball is much greater than the change in velocity of the cannon: The cannon has MUCH more mass than the cannonball so it accelerates MUCH less than the cannonball 21. People used to think that rockets could not accelerate in space because there is no air to push against. Explain why this is not true (and compare it to the cannonball example). The rocket pushes on each molecule of gas, and just like the cannonball example, each molecule of gas pushes back on the rocket. Because there are so many molecules of gas, they exert a net force that moves the rocket forward. The air has no effect on the rocket. 22. What is lift? Lift is the upward force of air on an airplane s wings or helicopter s blades that allows it to fly. 23. If two different objects receive the same amount of force, how is it that they accelerate at different rates? If they have different accelerations with the same force, then they must have different masses. 24. Match the condition on the left to the result on the right c 1. Lift equals the helicopter s weight a. Helicopter moves downward b_2. Lift is greater than the helicopter s weight b. Helicopter moves upward a 3. Lift is less than the helicopter s weight c. Helicopter hovers in midair Section 7.5 Defining Systems 25. Explain why the force of the orange on the apple does NOT cancel the force of the orange on the apple and the orange accelerates The force applied by the apple is external to the orange system 26. Explain why the force of the orange on the apple DOES cancel the force of the apple on the orange and the orange DOES NOT accelerate The force of the apple on the orange is internal to the system. Only external forces can accelerate an object. 27. Inside a golf ball there are billions of atoms, all exerting actionreaction forces on each other. Explain why the ball does not accelerate on its own All the forces are internal, and do nothing to make the object accelerate.
3 Cart Section 7.6Horse and Cart Problem Horse F friction F horse F cart F road A horse is pulling on a cart, accelerating the cart forward. 1. a) Make a force diagram for the cart to the left of the picture. b) Make a force diagram for the horse to the right of the picture. 2. Is the force exerted on the cart by the horse greater than the force exerted on the horse by the cart? How do you know? The forces are equal and opposite due to Newton s Third Law 3. Is the force exerted on the cart by the horse greater than the force of friction on the cart exerted by the ground? How do you know? Yes, since the cart is accelerating, then it must have an unbalanced force. The force by the horse on the cart must be greater than the force of friction on the cart 4. Is it true to say that the net force exerted on the cart is in the forward direction? How do you know? Yes, an object accelerates in the direction of the net force on it. 5. Is it true to say that the net force exerted on the cart is zero? How do you know? No, because the cart is accelerating, the net force cannot be zero. 6. Is it true to say that the net force of each Newton s third law pair is zero? How do you know? Yes, because the forces are equal and opposite. The sum of two equal and opposite vectors is zero. 7. Is the force of friction on the horse less than the force of friction on the cart? How do you know? Yes, because the horse is able to cause the cart to accelerate. The push by the road on the horse must be less than the resistance by the road on the cart.
4 Concept Checks 1. Can an action force exist without a reaction force? No, according to Newton s Third Law 2. When a hammer exerts a force on a nail, how does this amount of force compare with that of the nail on the hammer? It is equal and opposite 3. When you walk on a floor, what pushes you along? The floor pushes back 4. State Newton s third law of motion. For every force there is an equal and opposite force. 5. Consider hitting a baseball with a bat. If we call the force the bat exerts against the ball the action force, identify the reaction force. The reaction force is the force of the ball on the bat 6. If a bat hits a ball with 1000 N of force, can the ball exert less than 1000 N of force on the bat? More than 1000 N? The ball exerts a force of 1000N on the bat. 7. If the world pulls you downward against your chair, what is the reaction force? The reaction force is the chair pushing up on you 8. When a cannon is fired, are the forces on the cannonball and on the cannon equal in magnitude? Are the accelerations of the two equal? No 9. When a cannon is fired, why do the cannonball and cannon have very different accelerations? The cannon has much more mass than the cannonball and accelerates much less due to Newton s second law 10. Identify the force that propels a rocket. The rocket pushes backwards on the gas and the gas pushes forwards on the rocket 11. How does a helicopter get its lifting force? The rotors push down on the air and the air pushes back up on the rotors 13. When can two kicks on a soccer ball produce a net force of zero on the ball? When they are on opposite sides and in opposite directions AND they are equal in magnitude 14. Why don t the enormous number of interatomic forces inside a baseball accelerate the baseball? Internal forces do nothing to accelerate an object. An object requires and external force to accelerate 18. If you hit a wall with a force of 200 N, how much force does the wall exert on you? 200N 21. Three sets of double boxes rest on a table. Rank the following from greatest to least. a. the normal force that the table exerts on the sets A = B = C b. the normal force exerted by the bottom block on the top block B > C > A 22. A van exerts a force on trailers of different masses m. All velocities v are constant. Compared with the force exerted on the trailer, rank the magnitude of force the trailer exerts on the van. Or are all pairs of forces equal in magnitude? A = B = C 25. Your weight is the result of the gravitational force of Earth on your body. What is the corresponding reaction force? Your body pulls up on the earth 28. If you walk on a log that is floating in the water, the log moves backward. Why? The backward force of your push on the log is greater than the forward push of the water on the log 29. Why is it easier to walk on a carpeted floor than on a smooth, polished floor? (Explain in terms of action/reaction forces) The carpet can produce a greater reaction force due to greater friction 36. A small car bumps into a van at rest in a parking lot. Upon which vehicle is the force of impact greater? Same Which vehicle undergoes the greater change in acceleration? Defend your answer. The car accelerates
5 more because it has less mass. They both feel the same force. 45. Your teacher challenges you and your best friend to each pull on a pair of scales attached to the ends of a horizontal rope, in tugofwar fashion, so that the readings on the scales will differ. Can this be done? Explain. The readings on the scale can never be different because Newton s Third Law says that every action force has an equal and opposite reaction force. Extra Credit Problems. Do these on this page or on a separate sheet of paper. SHOW YOUR WORK TO GET CREDIT 1. What will be the acceleration of recoil when a 60kg person on rollerskates pushes against a wall with a force of 30 N? 0.5 m/s 2 2. Two people attempt a tugofwar on lowfriction ice. One person has four times the mass of the other. Relative to the acceleration of the heavier person, what will be the acceleration of the lighter person? 4 times 3. What is the net force on a falling 100N barrel hitting a pavement with 5000 N of force? 4900N 4. A 70kg skydiver is falling at her terminal speed. Show that she exerts a 700N downward force on the air as she falls.
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