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1. What is the momentum of a 30-kilogram cart moving with a speed of 10 meters per second? (1) 20 kg-m/sec (3) 3 kg-m/sec (2) 40 kg-m/sec (4) 300 kg-m/sec 2. If the direction of the velocity of an object is west, the direction of the momentum of the object is (1) north (3) east (2) south (4) west 3. An object traveling at 4.0 meters per second has a momentum of 16 kilogram-meters per second. What is the mass of the object? (1) 64 kg (3) 12 kg (2) 20 kg (4) 4.0 kg 4. Base your answer to the following question on the diagram below which shows a 20-newton force pulling an object up a hill at a constant rate of 2 meters per second. 7. Two rocks weighing 5 Newtons and 10 Newtons, respectively, fall freely from rest near the Earth's surface. After 3 seconds of free-fall, compared to the 5-newton rock, the 10-newton rock has greater (1) acceleration (3) momentum (2) height (4) speed 8. A 5-newton ball and a 10-newton ball are released simultaneously from a point 50 meters above the surface of the Earth. Neglecting air resistance, which statement is true? (1) The 5-N ball will have a greater acceleration than the 10-N ball. (2) The 10-N ball will have a greater acceleration than the 5-N ball. (3) At the end of 3 seconds of free-fall, the 10-N ball will have a greater momentum than the 5-N ball. (4) At the end of 3 seconds of free-fall, the 5-N ball will have a greater momentum than the 10-N ball. 9. If the speed of a moving object is doubled, which quantity associated with the object must also double? (1) its momentum (2) its kinetic energy (3) its acceleration (4) its gravitational potential energy The magnitude of the momentum of the moving object is (1) 0 kg-m/s (3) 100 kg-m/s (2) 10 kg-m/s (4) 600 kg-m/s 10. In the diagram below, a 10-kilogram ball is fired with a velocity of 500 meters per second from a 1,000-kilogram cannon. What is the recoil velocity of the cannon? 5. The momentum of an object is the product of its (1) force and distance (2) mass and acceleration (3) force and displacement (4) mass and velocity 6. Momentum may be expressed in (1) joules (3) kg-m/s (2) watts (4) N-m (1) 5 m/s (2) 2 m/s (3) 10 m/s (4) 500 m/s 11. Which of the following objects has the greatest momentum? (1) a 1-kg object moving at 200 m/sec (2) a 10-kg object moving at 30 m/sec (3) a 20-kg object moving at 20 m/sec (4) a 100-kg object moving at 2 m/sec 17. Base your answer to the following question on the graph below, which shows the velocity of a 1,500-kilogram car during a 20-second-time interval. 12. Which is a unit of momentum? (1) N-m/s2 (2) kg-m/s2 (3) N-m/s (4) kg-m/s 13. What is the momentum of a 1,200-kilogram car traveling at 15 meters per second due east? (1) 1.8 × 104 kg•m/s due east (2) 1.8 × 104 kg•m/s due west (3) 80. kg•m/s due east (4) 80. kg•m/s due west 14. Cart A has a mass of 2 kilograms and a speed of 3 meters per second. Cart B has a mass of 3 kilograms and a speed of 2 meters per second. Compared to the inertia and magnitude of momentum of cart A, cart B has (1) the same inertia and a smaller magnitude of momentum (2) the same inertia and the same magnitude of momentum (3) greater inertia and a smaller magnitude of momentum (4) greater inertia and the same magnitude of momentum The impulse applied to the car during time interval AB is (1) 9.0 x 102 N-sec. (2) 4.5 x 103 N-sec. (3) 6.0 x 103 N-sec. (4) 1.5 x 104 N-sec. 18. Base your answer to the following question on the diagram below which represents a 10kilogram object at rest at point A. The object accelerates uniformly from point A to point B in 4 seconds, attaining a maximum speed of 10 meters per second at point B. The object then moves up the incline. [Neglect friction.] 15. A 1.0-kilogram mass changes speed from 2.0 meters per second to 5.0 meters per second. The change in the object's momentum is (1) 9.0 kg-m/sec (3) 3.0 kg-m/sec (2) 21 kg-m/sec (4) 29 kg-m/sec 16. A 20.-kilogram mass moving at a speed of 3.0 meters per second is stopped by a constant force of 15 Newtons. How many seconds must the force act on the mass to stop it? (1) 0.20 sec (3) 5.0 sec (2) 1.3 sec (4) 4.0 sec Compared to the impulse required to stop the object at point B, the impulse required to stop the object at point C is (1) less (3) the same (2) greater 19. A force of 10. Newtons acts on an object for 0.010 second. What force, acting on the object for 0.050 second, would produce the same impulse? (1) 1.0 N (3) 5.0 N (2) 2.0 N (4) 10. N 20. As the unbalanced force applied to an object increases, the time rate of change of the object's momentum (1) decreases (3) remains the same (2) increases Base your answers to questions 21 and 22 on the diagram below which represents two objects at rest on a frictionless horizontal surface with a spring compressed between them. When the compressed spring is released, the two objects are pushed apart. 21. What is the velocity of the 2.0-kilogram object after being acted on by 10. Newton-seconds of impulse? (1) 1.0 m/s (3) 5.0 m/s (2) 2.0 m/s (4) 10. m/s 22. If the 1.0-kilogram object receives an impulse of +20.-newton-seconds, what impulse does the 2.0-kilogram object receive? (1) 0 N-s (3) –10. N-s (2) –5.0 N-s (4) –20. N-s 23. A constant braking force of 10 Newtons applied for 5 seconds is used to stop a 2.5-kilogram cart traveling at 20 meters per second. The magnitude of the impulse applied to stop the cart is (1) 10 N-s (3) 50 N-s (2) 30 N-s (4) 100 N-s 24. A force of 20. Newtons is exerted on a cart for 10. seconds. How long must a 50.-newton force act to produce the same impulse? (1) 10. s (3) 5.0 s (2) 2.0 s (4) 4.0 s 25. A 50.-kilogram woman wearing a seat belt is traveling in a car that is moving with a velocity of +10. meters per second. In an emergency, the car is brought to a stop in 0.50 second. What force does the seat belt exert on the woman so that she remains in her seat? (1) –1.0 × 103 N (2) –5.0 × 102 N (3) –5.0 × 101 N (4) –2.5 × 101 N 26. A student drops two eggs of equal mass simultaneously from the same height. Egg A lands on the tile floor and breaks. Egg B lands intact, without bouncing, on a foam pad lying on the floor. Compared to the magnitude of the impulse on egg A as it lands, the magnitude of the impulse on egg B as it lands is (1) less (3) the same (2) greater 27. An object is brought to rest by a constant force. Which factor other than the mass and velocity of the object must be known in order to determine the magnitude of the force required to stop the object? (1) the time that the force acts on the object (2) the gravitational potential energy of the object (3) the density of the object (4) the weight of the object 28. An impulse I is applied to an object. The change in the momentum of the object is (1) I (3) I/2 (2) 2I (4) 4I 29. The velocity-time graph below represents the motion of a 3-kilogram cart along a straight line. The cart starts at t = 0 and initially moves north. 33. Which situation will produce the greatest change of momentum for a 1.0-kilogram cart? (1) accelerating it from rest to 3.0 m/s (2) accelerating it from 2.0 m/s to 4.0 m/s (3) applying a net force of 5.0 N for 2.0 s (4) applying a net force of 10.0 N for 0.5 s 34. A 0.45-kilogram football traveling at a speed of 22 meters per second is caught by an 84kilogram stationary receiver. If the football comes to rest in the receiver’s arms, the magnitude of the impulse imparted to the receiver by the ball is (1) 1800 N•s (3) 4.4 N•s (2) 9.9 N•s (4) 3.8 N•s What is the magnitude of the change in momentum of the cart between t = 0 and t = 3 seconds? (1) 20 kg × m/s (3) 60 kg × m/s (2) 30 kg × m/s (4) 80 kg × m/s 30. A 2,400-kilogram car is traveling at a speed of 20. meters per second. Compared to the magnitude of the force required to stop the car in 12 seconds, the magnitude of the force required to stop the car in 6.0 seconds is (1) half as great (3) the same (2) twice as great (4) four times as great 31. Two cars having different weights are traveling on a level surface at different constant velocities. Within the same time interval, greater force will always be required to stop the car that has greater (1) weight (3) velocity (2) kinetic energy (4) momentum 32. A 2.0-kilogram laboratory cart is sliding across a horizontal frictionless surface at a constant velocity of 4.0 meters per second east. What will be the cart’s velocity after a 6.0-newton westward force acts on it for 2.0 seconds? (1) 2.0 m/s east (3) 10. m/s east (2) 2.0 m/s west (4) 10. m/s west Base your answers to questions 35 and 36 on the information and diagram below. Block A moves with a velocity of 2 meters per second to the right, as shown in the diagram, and then collides elastically with block B, which is at rest. Block A stops moving, and block B moves to the right after the collision. 35. What is the total change in momentum of blocks A and B ? (1) 0 kg.-m/s (3) 40 kg.-m/s (2) 20 kg.-m/s (4) 200 kg.-m/s 36. If the blocks had remained together after collision, their velocity would have been (1) 1 m/s (3) 0 m/s (2) 2 m/s (4) .5 m/s 37. A 4.0-kilogram mass is moving at 3.0 meters per second toward the right and a 6.0-kilogram mass is moving at 2.0 meters per second toward the left on a horizontal frictionless table. If the two masses collide and remain together after the collision, their final momentum is (1) 1.0 kg-m/s (3) 12 kg-m/s (2) 24 kg-m/s (4) 0 kg-m/s 38. A 2-kilogram object traveling 10 meters per second north has a perfect elastic collision with a 5-kilogram object traveling 4 meters per second south. What is the total momentum after collision? (1) 0 kg-m/s (3) 20 kg-m/s south (2) 20 kg-m/s north (4) 40 kg-m/s east 39. A 2.0-kilogram toy cannon is at rest on a frictionless surface. A remote triggering device causes a 0.005-kilogram projectile to be fired from the cannon. Which equation describes this system after the cannon is fired? (1) mass of cannon + mass of projectile = 0 (2) speed of cannon + speed of projectile = 0 (3) momentum of cannon + momentum of projectile = 0 (4) velocity of cannon + velocity of projectile = 0 40. Lab carts A and B are initially at rest with a compressed spring between them as shown in the diagram below. Base your answers to questions 41 and 42 on the diagram below which represents carts A and B being pushed apart by a spring which exerts an average force of 50. Newtons for a period of 0.20 second. [Assume friction-less conditions.] 41. Compared to the magnitude of the impulse acting on cart A, the magnitude of the impulse acting on cart B is (1) one-half as great (3) the same (2) twice as great (4) four times as great 42. Compared to the total momentum of the carts before the spring is released, the total momentum of the carts after the spring is released is (1) one-half as great (3) the same (2) twice as great (4) four times as great 43. A rocket engine acquires motion by ejecting hot gases in the opposite direction. This is an example of the law of (1) conservation of heat (2) conservation of energy (3) conservation of momentum (4) conservation of mass 44. The total momentum of a system that consists of a moving rocket and its exhaust gases will (1) decrease (3) remain the same (2) increase Which statement best describes the motion of the carts after the spring is released? (1) Cart A has twice the momentum of cart B. (2) Cart B has twice the momentum of cart A. (3) Cart A has twice the velocity of cart B. (4) Cart B has twice the velocity of cart A. 45. A 0.050-kilogram bullet is fired from a 4.0 kilogram rifle that is initially at rest. If the bullet leaves the rifle with momentum having a magnitude of 20. kilogram•meters per second, the rifle will recoil with a momentum having a magnitude of (1) 1,600 kg•m/s (3) 20. kg•m/s (2) 80. kg•m/s (4) 0.25 kg•m/s 46. A 3.0-kilogram steel block is at rest on a friction- 49. Two disk magnets are arranged at rest on a less horizontal surface. A 1.0-kilogram lump of friction less horizontal surface as shown in the clay is propelled horizontally at 6.0 meters per diagram below. When the string holding them second toward the block as shown in the together is cut, they move apart under a diagram below. magnetic force of repulsion. When the 1.0kilogram disk reaches a speed of 3.0 meters per second, what is the speed of the 0.5-kilogram disk? Upon collision, the clay and steel block stick together and move to the right with a speed of (1) 1.5 m/s (3) 3.0 m/s (2) 2.0 m/s (4) 6.0 m/s (1) 1.0 m/s (2) 0.50 m/s (3) 3.0 m/s (4) 6.0 m/s 50. The diagram below represents two identical carts, attached by a cord, moving to the right at speed V. If the cord is cut, what would be the speed of cart A? 47. In the diagram below, scaled vectors represent the momentum of each of two masses, A and B, sliding toward each other on a frictionless, horizontal surface. (1) 0 (2) 2V Which scaled vector best represents the momentum of the system after the masses collide? (1) (2) (3) V (4) V/2 51. A 2-kilogram car and a 3-kilogram car are originally at rest on a horizontal frictionless surface as shown in the diagram below. A compressed spring is released causing the cars to separate. The 3-kilogram car reaches a maximum speed of 2 meters per second. What is the maximum speed of the 2-kilogram car? (3) (4) 48. The direction of an object's momentum is always the same as the direction of the object's (1) inertia (3) velocity (2) potential energy (4) weight (1) 1 m/s (2) 2 m/s (3) 3 m/s (4) 6 m/s 52. A 20-kilogram cart traveling east with a speed of 6 meters per second collides with a 30-kilogram cart traveling west. If both carts come to rest immediately after the collision, what was the speed of the westbound cart before the collision? (1) 6 m/s (3) 3 m/s (2) 2 m/s (4) 4 m/s 53. A spring is compressed between two stationary blocks as shown in the diagram below. Block A has a mass of 6.0 kilograms. After the spring is released, block A moves west at 8.0 meters per second and block B moves east at 16 meters per second. What is the mass of block B? [Assume no frictional effects.] (1) 16 kg (3) 3.0 kg (2) 12 kg (4) 6.0 kg 54. An 80.-kilogram skater and a 60.-kilogram skater stand at rest in the center of a skating rink. The two skaters push each other apart. The 60.-kilogram skater moves with a velocity of 10. meters per second east. What is the velocity of the 80.-kilogram skater? [Neglect any frictional effects.] (1) 0.13 m/s west (3) 10. m/s east (2) 7.5 m/s west (4) 13. m/s east 55. A 2.0-kilogram cart moving due east at 6.0 meters per second collides with a 3.0-kilogram cart moving due west. The carts stick together and come to rest after the collision. What was the initial speed of the 3.0-kilogram cart? (1) 1.0 m/s (3) 9.0 m/s (2) 6.0 m/s (4) 4.0 m/s 56. At the circus, a 100.-kilogram clown is fired at 15 meters per second from a 500.-kilogram cannon. What is the recoil speed of the cannon? (1) 75 m/s (3) 3.0 m/s (2) 15 m/s (4) 5.0 m/s 57. In the diagram below, a 100.-kilogram clown is fired from a 500.-kilogram cannon. If the clown's speed is 15 meters per second after the firing, the recoil speed (v) of the cannon is (1) 75 m/s (3) 3.0 m/s (2) 15 m/s (4) 0 m/s 58. A 1.2-kilogram block and a 1.8-kilogram block are initially at rest on a frictionless, horizontal surface. When a compressed spring between the blocks is released, the 1.8-kilogram block moves to the right at 2.0 meters per second, as shown. What is the speed of the 1.2-kilogram block after the spring is released? (1) 1.4 m/s (3) 3.0 m/s (2) 2.0 m/s (4) 3.6 m/s 59. Ball A of mass 5.0 kilograms moving at 20. meters per second collides with ball B of unknown mass moving at 10. meters per second in the same direction. After the collision, ball A moves at 10. meters per second and ball B at 15 meters per second, both still in the same direction. What is the mass of ball B? (1) 6.0 kg (3) 10. kg (2) 2.0 kg (4) 12 kg 60. The diagram below shows a 4.0-kilogram cart moving to the right and a 6.0-kilogram cart moving to the left on a horizontal frictionless surface. When the two carts collide they lock together. The magnitude of the total momentum of the two-cart system after the collision is (1) 0.0 kg•m/s (2) 6.0 kg•m/s (3) 15 kg•m/s (4) 30. kg•m/s Answer Key [New Exam] 1. 4 25. 1 49. 4 2. 4 26. 3 50. 3 3. 4 27. 1 51. 3 4. 2 28. 1 52. 4 5. 4 29. 3 53. 3 6. 3 30. 2 54. 2 7. 3 31. 4 55. 4 8. 3 32. 2 56. 3 9. 1 33. 3 57. 3 10. 1 34. 2 58. 3 11. 3 35. 1 59. 3 12. 4 36. 1 60. 2 13. 1 37. 4 14. 4 38. 1 15. 3 39. 3 16. 4 40. 3 17. 4 41. 3 18. 1 42. 3 19. 2 43. 3 20. 2 44. 3 21. 3 45. 3 22. 4 46. 1 23. 3 47. 2 24. 4 48. 3