Physics Samples: Q2 Exam Per ___ Date ___________ 1. According to your reference table, Approximate Coefficents of Friction, what is the minimum horizontal force needed to start a 300. kilogram steel block on a steel table in motion? (A) 5.70 N (C) 1710 N (B) 7.40 N (D) 2220 N Name ____________________ 5. The diagram below represents a car resting on a hill. 2. A box decelerates as it moves to the right along a horizontal surface, as shown in the diagram at the right. Which vector best represents the force of friction on the box? Which vector best represents the weight of the car? (A) A (C) C (B) B (D) D 6. In the diagram below, the weight of a box on a plane inclined at 30.º is represented by the vector W. (C) (A) (D) (B) 3. The diagram below shows a granite block being slid at constant speed across a horizontal concrete floor by a force parallel to the floor. What is the magnitude of the component of the weight (W ) that acts parallel to the incline? (A) W (C) 0.87 W (B) 0.50 W (D) 1.5 W 7. Base your answer to the following question on the diagram below which shows a cart held motionless by an external force F on a frictionless incline. Which pair of quantities could be used to determine the coefficient of friction for the granite on the concrete? (A) mass and speed of the block (B) mass and normal force on the block (C) frictional force and speed of the block (D) frictional force and normal force on the block 4. Four cannonballs, each with mass M and initial velocity V, are fired from a cannon at different angles relative to the Earth. Neglecting air friction, which angular direction of the cannon produces the greatest projectile height? (A) 90º (C) 45º (B) 70º (D) 20º Compared to the magnitude of the external force F required to hold the cart at point C on the frictionless surface, the magnitude of the external force F required to hold the cart at point C, if friction were present, is (A) less (C) the same (B) greater 8. A 1-kilogram object rests on a horizontal table top. The force that the table top exerts on the object is (A) 1 N (C) 0 N (B) 2 N (D) 9.8 N Q2_SampsA 9. A 1.0-kilogram block is placed on each of four frictionless planes inclined at different angles. On which inclined plane will the acceleration of the block be greatest? (A) 13. The diagram below shows a golf ball being struck by a club. The ball leaves the club with a speed of 40. meters per second at an angle of 60.° with the horizontal. (B) (C) (D) 10. A projectile is fired at an angle of 53º to the horizontal with a speed of 80. meters per second. What is the vertical component of the project initial velocity? (A) 130 m/s (C) 64 m/s (B) 100 m/s (D) 48 m/s 11. A 100.-newton force acts on point P, as shown in the diagram below. The magnitude of the vertical component of this force is approximately (A) 30. N (C) 71 N (B) 50. N (D) 87 N 12. According to your table, Approximate Coefficents of Friction, which road surface would offer the greatest traction for rubber tires? (A) dry concrete (C) dry asphalt (B) wet concrete (D) wet asphalt Q2_SampsA If the ball strikes the ground 7.1 seconds later, how far from the golfer does the ball land? [Assume level ground and neglect air resistance.] (A) 35 m (C) 140 m (B) 71 m (D) 280 m 14. A projectile is fired from a gun near the surface of Earth. The initial velocity of the projectile has a vertical component of 98 meters per second and a horizontal component of 49 meters per second. How long will it take the projectile to reach the highest point in its path? (A) 5.0 s (C) 20. s (B) 10. s (D) 100. s 15. Jill is pulling a 200. Newton sled through the snow at constant velocity using a horizontal force of 10. Newtons. What is the kinetic coefficient of friction of the sled on the snow? (A) 0.02 (C) 0.20 (B) 0.05 (D) 20 16. The diagram below represents a box shown sliding down an inclined plane. Toward which point will the force of friction on the box be directed? (A) 1 (B) 2 (C) 3 (D) 4 17. Jim wishes to push a 100. N wood crate across a wood floor. According to your table, Approximate Coefficents of Friction, what is the minimum horizontal force that would be required to start the crate moving? (A) 30. N (C) 72 N (B) 42 N (D) 100 N 18. The diagram below shows the muzzle of a cannon located 50. meters above the ground. When the cannon is fired, a ball leaves the muzzle with an initial horizontal speed of 250. meters per second. [Neglect air resistance.] 22. Base your answer to the following question on the diagram below which represents a 3.0-kilogram mass being moved at a constant speed by a force of 6.0 Newtons. The magnitude of the force of friction acting on the mass is (A) 0 N (C) 3 N (B) 1.8 N (D) 6 N Which action would most likely increase the time of flight of a ball fired by the cannon? (A) pointing the muzzle of the cannon toward the ground (B) moving the cannon closer to the edge of the cliff (C) positioning the cannon higher above the ground (D) giving the ball a greater initial horizontal velocity 19. The table below lists the coefficients of kinetic friction for four materials sliding over steel. 23. A box initially at rest on a level floor is being acted upon by a variable horizontal force, as shown in the diagram at the right. Compared to the force required to start the box moving, the force required to keep it moving at constant speed is (A) less (B) greater (C) the same Base your answers to questions 24 and 25 on the information and diagram below. A child kicks a ball with an initial velocity of 8.5 meters per second at an angle of 35º with the horizontal, as shown. The ball has an initial vertical velocity of 4.9 meters per second and a total time of flight of 1.0 second. [Neglect air resistance.] A 10.-kilogram block of each of these materials is pulled horizontally across a steel floor at constant velocity. Which block requires the smallest applied force to keep it moving at constant velocity? (A) aluminum (C) copper (B) brass (D) steel 20. In order to keep an object weighing 20 Newtons moving at constant speed along a horizontal surface, a force of 10 Newtons is required. The force of friction between the surface and the object is (A) 0 N (C) 20 N (B) 10 N (D) 30 N 21. An artillery shell is fired at an angle to the horizontal. Its initial velocity has a vertical component of 150 meters per second and a horizontal component of 260 meters per second. What is the magnitude of the initial velocity of the shell? (C) 3.0 × 102 m/s (A) 9.0 × l04 m/s 2 (B) 4.1 × 10 m/s (D) 1.1 × 102 m/s Q2_SampsA 24. The horizontal component of the ball’s initial velocity is approximately (A) 3.6 m/s (C) 4.9 m/s (B) 7.0 m/s (D) 13 m/s 25. The maximum height reached by the ball is approximately (A) 1.2 m (C) 4.9 m (B) 2.5 m (D) 8.5 m 26. The diagram below shows a student applying a 10.-newton force to slide a piece of wood at constant speed across a horizontal surface. After the wood is cut in half, one piece is placed on top of the other, as shown. What is the magnitude of the force, F, required to slide the stacked wood at constant speed across the surface? (A) 40 N (B) 20 N (C) 10 N (D) 5.0 N 27. Base your answer to the following question on the information and diagram below. A student standing on a knoll throws a snowball horizontally 4.5 meters above the level ground toward a smokestack 15 meters away. The snowball hits the smokestack 0.65 second after being released. [Neglect air resistance.] At the instant the snowball is released, the horizontal component of its velocity is approximately (A) 6.9 m/s (B) 9.8 m/s (C) 17 m/s Q2_SampsA (D) 23 m/s Base your answers to questions 28 through 30 on on the diagram and information below. A machine launches a tennis ball at an angle of 45° with the horizontal, as shown. The ball has an initial vertical velocity of 9.0 meters per second and an initial horizontal velocity of 9.0 meters per second. The ball reaches its maximum height 0.92 second after its launch. [Neglect air resistance and assume the ball lands at the same height above the ground from which it was launched.] 28. The total horizontal distance traveled by the tennis ball during the entire time it is in the air is approximately (A) 23 m (B) 17 m (C) 8.3 m (D) 4.1 m 29. The speed at which the launcher fires tennis balls is constant, but the angle between the launcher and the horizontal can be varied. As the angle is decreased from 45° to 30.°, the range of the tennis balls (A) decreases (B) increases (C) remains the same 30. The speed of the tennis ball as it leaves the launcher is approximately (A) 4.5 m/s (B) 8.3 m/s (C) 13 m/s Base your answers to questions 31 and 32 on the information below. A ball is projected vertically upward from the surface of the Earth with an initial speed of +49 meters per second. The ball reaches its maximum height in 5.0 seconds. (Disregard air resistance.) 31. What is the total displacement of the ball from the time it is thrown until it returns to the point from which it was thrown? (A) 248 m (C) 49 m (B) 9.8 m (D) 0 m 32. What is the maximum height reached by the ball? (A) 24.5 m (C) 122.5 m (B) 49.0 m (D) 245 m 33. A 0.2-kilogram red ball is thrown horizontally at a speed of 4 meters per second from a height of 3 meters. A 0.4kilogram green ball is thrown horizontally from the same height at a speed of 8 meters per second. Compared to the time it takes the red ball to reach the ground, the time it takes the green ball to reach the ground is (A) one-half as great (C) the same (B) twice as great (D) four times as great Q2_SampsA (D) 18 m/s Base your answers to questions 34 and 35 on the information below. Projectile A is launched horizontally at a speed of 20. meters per second from the top of a cliff and strikes a level surface below, 3.0 seconds later. Projectile B is launched horizontally from the same location at a speed of 30. meters per second. 34. The time it takes projectile B to reach the level surface is (A) 4.5 s (C) 3.0 s (B) 2.0 s (D) 10. s 35. Approximately how high is the cliff? (A) 29 m (C) 60. m (B) 44 m (D) 104 m 36. A golf ball is hit with an initial velocity of 15 meters per second at an angle of 35 degrees above the horizontal. What is the vertical component of the golf ball’s initial velocity? (A) 8.6 m/s (C) 12 m/s (B) 9.8 m/s (D) 15 m/s 37. The diagram below shows a student throwing a baseball horizontally at 25 meters per second from a cliff 45 meters above the level ground. 41. A ball is projected horizontally to the right from a height of 50. meters, as shown in the diagram below. Which diagram best represents the position of the ball at 1.0-second intervals? [Neglect air resistance.] Approximately how far from the base of the cliff does the ball hit the ground? [Neglect air resistance.] (A) 45 m (C) 140 m (B) 75 m (D) 230 m Base your answers to questions 38 and 39 on the diagram below which shows a ball projected horizontally with an initial velocity of 20. meters per second east, off a cliff 100. meters high. [Neglect air resistance.] (A) (C) (B) (D) 38. How many seconds does the ball take to reach the ground? (A) 4.5 s (C) 9.8 s (B) 20. s (D) 2.0 s 39. During the flight of the ball, what is the direction of its acceleration? (A) downward (C) westward (B) upward (D) eastward 40. What is the period of orbit of a communications satellite in geosynchronous orbit about Earth? (A) 1 year (C) 12 hours (B) 24 hours (D) 60 minutes Q2_SampsA 42. A ball thrown vertically upward reaches a maximum height of 30. meters above the surface of Earth. At its maximum height, the speed of the ball is (A) 0.0 m/s (C) 3.1 m/s (B) 9.8 m/s (D) 24 m/s 43. Base your answer to the following question on the information below. An outfielder throws a baseball to the first baseman at a speed of 19.6 meters per second and an angle of 30.° above the horizontal. 48. Projectiles are fired from different angles with the same initial speed of 14 meters per second. The graph below shows the range of the projectiles as a function of the original angle of inclination to the ground, neglecting air resistance. Which pair represents the initial horizontal velocity (vx) and initial vertical velocity (vy) of the baseball? (A) vx = 17.0 m/s, vy = 9.80 m/s (B) vx = 9.80 m/s, vy = 17.0 m/s (C) vx = 19.4 m/s, vy = 5.90 m/s (D) vx = 19.6 m/s, vy = 19.6 m/s 44. Base your answer to the following question on the information and diagram below. A cannon elevated at an angle of 35º to the horizontal fires a cannonball, which travels the path shown in the diagram below. [Neglect air resistance and assume the ball lands at the same height above the ground from which it was launched.] The graph shows that the range of the projectiles is (A) the same for all angles (B) the same for angles of 20.º and 80.º (C) greatest for an angle of 45º (D) greatest for an angle of 90.º 49. Base your answer to the following question on the information below. If the ball lands 7.0 × 102 meters from the cannon 10. seconds after it was fired, what is the horizontal component of its initial velocity? (A) 70. m/s (C) 35 m/s (B) 49 m/s (D) 7.0 m/s 45. A ball is thrown at an angle of 38° to the horizontal. What happens to the magnitude of the ball’s vertical acceleration during the total time interval that the ball is in the air? (A) It decreases, then increases. (B) It decreases, then remains the same. (C) It increases, then decreases. (D) It remains the same. 46. A vector makes an angle, ‡, with the horizontal. The horizontal and vertical components of the vector will be equal in magnitude if angle ‡ is (A) 30° (C) 60° (B) 45° (D) 90° 47. A basketball player jumped straight up to grab a rebound. If she was in the air for 0.80 second, how high did she jump? (A) 0.50 m (C) 1.2 m (B) 0.78 m (D) 3.1 m Q2_SampsA A toy projectile is fired from the ground vertically upward with an initial velocity of +29 meters per second. The projectile arrives at its maximum altitude in 3.0 seconds. [Neglect air resistance.] The greatest height the projectile reaches is approximately (A) 23 m (C) 87 m (B) 44 m (D) 260 m 50. A ball is thrown horizontally from the top of a building with an initial velocity of 15 meters per second. At the same instant, a second ball is dropped from the top of the building. The two balls have the same (A) path as they fall (B) final velocity as they reach the ground (C) initial horizontal velocity (D) initial vertical velocity 51. Compared to the mass of an object at the surface of the Earth, the mass of the object a distance of two Earth radii from the center of the Earth is (A) the same (C) one-half as great (B) twice as great (D) one-fourth as great 52. A mass of 10 kilograms is revolving at a linear speed of 5 meters per second in a circle with a radius of 10 meters. The centripetal force acting on the mass is (A) 5 N (C) 20 N (B) 10 N. (D) 25 N Base your answers to questions 53 through 55 on the information and diagram below. 58. Four different balls are thrown horizontally off the top of four cliffs. In which diagram does the ball have the shortest time of flight? A ball is thrown horizontally with an initial velocity of 20.0 meters per second from the top of a tower 60.0 meters high. (A) (C) (B) (D) 53. What is the approximate total time required for the ball to reach the ground? [Neglect air resistance.] (A) 12.2 s (C) 3.00 s (B) 2.04 s (D) 3.50 s 54. What is the initial vertical velocity of the ball? (A) 0 m/s (C) 20.0 m/s (B) 9.81 m/s (D) 60.0 m/s 55. What is the horizontal velocity of the ball just before it reaches the ground? [Neglect air resistance.] (A) 9.81 m/s (C) 34.3 m/s (B) 20.0 m/s (D) 68.6 m/s 56. A 2-kilogram block is dropped from the roof of a tall building at the same time a 6-kilogram ball is thrown horizontally from the same height. Which statement best describes the motion of the block and the motion of the ball? [Neglect air resistance.] (A) The 2-kg block hits the ground first because it has no horizontal velocity. (B) The 6-kg ball hits the ground first because it has more mass. (C) The 6-kg ball hits the ground first because it is round. (D) The block and the ball hit the ground at the same time because they have the same vertical acceleration. 57. An object weighs 200. Newtons at a distance of 100. kilometers above the center of a small uniform planet. How much will the object weigh 200. kilometers above the planet's center? (A) 400. N (C) 50.0 N (B) 100. N (D) 25.0 N Q2_SampsA 59. Gravitational force F exists between point objects A and B separated by distance R. If the mass of A is doubled and distance R is tripled, what is the new gravitational force between A and B? (A) 2F 9 (B) 2F 3 (C) 3F 2 (D) 9F 2 60. Base your answer to the following question on the information below. A car traveling at a speed of 13 meters per second accelerates uniformly to a speed of 25 meters per second in 5.0 seconds. A truck traveling at a constant speed covers the same total distance as the car in the same 5.0-second time interval. Determine the speed of the truck. Base your answers to questions 61 through 63 on the following information. In the diagram below, a 10.-kilogram sphere, A, is projected horizontally with a velocity of 30. meters per second due east from a height of 20. meters above level ground. At the same instant, a 20.-kilogram sphere, B, is projected horizontally with a velocity of 10. meters per second due west from a height of 80. meters above level ground. [Neglect air friction.] 61. Compared to the vertical acceleration of sphere A, the vertical acceleration of sphere B is (A) the same (C) one-half as great (B) twice as great (D) four times as great 62. Initially, the spheres are separated by a horizontal distance of 100. meters. What is the horizontal separation of the spheres at the end of 1.5 seconds? (A) 15 m (C) 40. m (B) 30 m (D) 45 m 63. The magnitude of the horizontal acceleration of sphere A is (C) 9.8 m/s2 (A) 0.0 m/s2 2 (B) 2.0 m/s (D) 15 m/s2 64. Base your answer to the following question on the information and diagram below. The diagram shows a student seated on a rotating circular platform, holding a 2.0-kilogram block with a spring scale. The block is 1.2 meters from the center of the platform. The block has a constant speed of 8.0 meters per second. [Frictional forces on the block are negligible.] Which statement best describes the block’s movement as the platform rotates? (A) Its velocity is directed tangent to the circular path, with an inward acceleration. (B) Its velocity is directed tangent to the circular path, with an outward acceleration. (C) Its velocity is directed perpendicular to the circular path, with an inward acceleration. (D) Its velocity is directed perpendicular to the circular path, with an outward acceleration. 65. Base your answer to the following question on the information and diagram below. A 1200-kilogram car traveling at a constant speed of 9.0 meters per second turns at an intersection. The car follows a horizontal circular path with a radius of 25 meters to point P. The magnitude of the centripetal force acting on the car as it travels around the circular path is approximately (C) 3.9 × 103 N (A) 1.1 × 104 N 4 (B) 1.2 × 10 N (D) 4.3 × 102 N Q2_SampsA Base your answers to questions 66 and 67 on the information and diagram below. A roller coaster cart starts from rest and accelerates, due to gravity, down a track. The cart starts at a height that enables it to complete a loop in the track. [Neglect friction.] 69. Base your answer to the following question on the information and diagram below. A 1.00 × 103 -kilogram car is driven clockwise around a flat circular track of radius 25.0 meters. The speed of the car is a constant 5.00 meters per second. 66. Which diagram best represents the path followed by an object that falls off the cart when the cart is at point D? (A) (B) (C) (D) 67. The magnitude of the centripetal force keeping the cart in circular motion would be greatest at point (A) A (C) C (B) B (D) D Which factor, when doubled, would produce the greatest change in the centripetal force acting on the car? (A) mass of the car (C) velocity of the car (B) radius of the track (D) weight of the car 70. Base your answer to the following question on the diagram below which represents a ball of mass M attached to a string. The ball moves at a constant speed around a flat horizontal circle of radius R. 68. Base your answer to the following question on the diagram below which represents a mass of 10.0 kilograms traveling at constant speed of 4. meters per second in a horizontal circular path about point D. If the string is shortened while the speed of the ball remains the same, the centripetal acceleration will (A) decrease (C) remain the same (B) increase Which quantity would increase if the radius increased? (A) period (C) mass (B) tangential velocity (D) centripetal acceleration Q2_SampsA Base your answers to questions 71 through 74 on the diagram below which represents a 2.0-kilogram mass moving in a circular path on the end of a string 0.50 meter long. The mass moves in a horizontal plane at a constant speed of 4.0 meters per second. 71. The speed of the mass is changed to 2.0 meters per second. Compared to the centripetal acceleration of the mass when moving at 4.0 meters per second, its centripetal acceleration when moving at 2.0 meters per second would be (A) half as great (C) one-fourth as great (B) twice as great (D) four times great 72. The force exerted on the mass by the string is (A) 8 N (C) 32 N (B) 16 N (D) 64 N 73. The centripetal force acting on the mass is directed toward point (A) A (C) C (B) B (D) D 74. In the position shown in the diagram, the momentum of the mass is directed toward point (A) A (C) C (B) B (D) D Q2_SampsA Base your answers to questions 75 through 79 on the diagram below which represents a 5.0-kilogram object revolving around a circular track in a horizontal plane at a constant speed. The radius of the track is 20. meters and the centripetal force on the object is 4.0 × 102 Newtons. 75. The object's centripetal acceleration is (A) 0.012 m/s² (C) 80. m/s² (B) 20. m/s² (D) 1.0 × 102 m/s2 76. In the position shown, the object's centripetal acceleration is directed toward point (A) A (C) C (B) B (D) D 77. In the position shown, the object's velocity is directed toward point (A) A (C) C (B) B (D) D 78. The object's speed is (A) 20. m/s (B) 40. m/s (C) 60. m/s (D) 80. m/s 79. If the radius of the track is increased, the centripetal force necessary to keep the object revolving at the same speed would (A) decrease (C) remain the same (B) increase 80. An object on the end of a string rotates clockwise in a circle as shown in the diagram below. Base your answers to questions 81 through 83 on the diagram below which shows a 2.0-kilogram model airplane attached to a wire. The airplane is flying clockwise in a horizontal circle of radius 20. meters at 30. meters per second. If the string breaks when the object is at point X, which arrow below best represents the path of the object after the string has broken? (A) (C) (B) (D) 81. If the wire breaks when the airplane is at the position shown, the airplane will move toward point (A) A (C) C (B) B (D) D 82. The centripetal force acting on the airplane at the position shown is directed toward point (A) A (C) C (B) B (D) D 83. What is the magnitude of the centripetal acceleration of the airplane? (C) 45 m/s2 (A) 0 m/s2 2 (B) 1.5 m/s (D) 90. m/s2 Q2_SampsA Answer Key NYS Regents [Jun 25, 2008] 1. D 30. C 59. A 2. D 31. D 60. 19 m/s. 3. D 32. C 61. A 4. A 33. C 62. C 5. B 34. C 63. A 6. B 35. B 64. A 7. A 36. A 65. C 8. D 37. B 66. A 9. D 38. A 67. A 10. C 39. A 68. A 11. B 40. B 69. C 12. A 41. D 70. B 13. C 42. A 71. C 14. B 43. A 72. D 15. B 44. A 73. A 16. B 45. D 74. D 17. B 46. B 75. C 18. C 47. B 76. D 19. C 48. C 77. A 20. B 49. B 78. B 21. C 50. D 79. A 22. D 51. A 80. A 23. A 52. D 81. B 24. C 53. D 82. C 25. A 54. A 83. C 26. C 55. B 27. D 56. D 28. B 57. C 29. A 58. A Q2_SampsA