MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

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1 Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) You are standing in a moving bus, facing forward, and you suddenly fall forward as the bus comes to an immediate stop. What force caused you to fall forward? A) force due to friction between you and the floor of the bus B) normal force due to your contact with the floor of the bus C) gravity D) There is not a force leading to your fall. 2) A constant net force acts on an object. Describe the motion of the object. A) increasing acceleration B) constant velocity C) constant speed D) constant acceleration 3) A net force F acts on a mass m and produces an acceleration a. What acceleration results if a net force 2F acts on mass 4m? A) 4a B) a/2 C) 8a D) 2a 4) A stone is thrown straight up. At the top of its path, the net force acting on it is A) instantaneously equal to zero. B) equal to its weight. C) greater than its weight. D) greater than zero, but less than its weight. 5) A 20-N weight and a 5.0-N weight are dropped simultaneously from the same height. Ignore air resistance. Compare their accelerations. A) They both accelerate at the same rate because they have the same weight to mass ratio. B) The 20 N weight accelerates faster because it has more inertia. C) The 5.0 N weight accelerates faster because it has a smaller mass. D) The 20 N weight accelerates faster because it is heavier. 6) An object of mass m is hanging by a string from the ceiling of an elevator. The elevator is moving upward, but slowing down. What is the tension in the string? A) zero B) exactly mg C) greater than mg D) less than mg 7) The force that keeps you from sliding on an icy sidewalk is A) static friction. B) kinetic friction. C) weight. D) normal force. 8) It's more difficult to start moving a heavy carton from rest than it is to keep pushing it with constant velocity, because A) m k < m s. B) initially, the normal force is not perpendicular to the applied force. C) the normal force is greater when the carton is at rest. D) m s < m k. 1) 2) 3) 4) 5) 6) 7) 8) 1

2 9) A block of mass M slides down a frictionless plane inclined at an angle q with the horizontal. The normal reaction force exerted by the plane on the block is 9) A) Mg cos q. B) Mg. C) zero, since the plane is frictionless. D) Mg sin q. 10) A block of mass M slides down a frictionless plane inclined at an angle q with the horizontal. The gravitational force is directed 10) A) parallel to the plane in the opposite direction as the movement of the block B) perpendicular to the plane. C) parallel to the plane in the same direction as the movement of the block. D) toward the center of the Earth. 11) A sports car of mass 1000 kg can accelerate from rest to 27 m/s in 7.0 s. What is the average forward force on the car? 11) A) N B) N C) N D) N 12) If you push a 4.0-kg mass with the same force that you push a 10-kg mass from rest, A) the 10-kg mass accelerates 2.5 times faster than the 4.0-kg mass. B) both masses accelerate at the same rate. C) the 4.0-kg mass accelerates 2.5 times faster than the 10-kg mass. D) None of the above is true. 12) 13) What is the mass of a person who weighs 110 lb? A) 55 kg B) 242 kg C) 50 kg D) 110 kg 13) 14) An object has a mass of 60 kg on the Earth. What is the mass of the object on the surface of the Moon where the acceleration due to gravity is only 1/6 of that on the Earth? 14) A) 60 kg B) 10 kg C) 360 kg D) 6.0 kg 15) A person of weight 480 N stands on a scale in an elevator. What will the scale be reading when the elevator is accelerating downward at 4.00 m/s2? A) 676 N B) 284 N C) 196 N D) 480 N 15) 16) A person on a scale rides in an elevator. If the mass of the person is 60.0 kg and the elevator accelerates downward with an acceleration of 4.90 m/s2, what is the reading on the scale? A) 882 N B) 147 N C) 588 N D) 294 N 16) 2

3 FIGURE ) In the Atwood machine shown in Fig. 4-1, if M = 0.60 kg and m = 0.40 kg, what is the tension in the string? (Ignore friction and the mass of the pulley.) A) 3.1 N B) 4.7 N C) 7.5 N D) 7.1 N 17) FIGURE ) Two boxes of masses m and 2m are in contact with each other on a frictionless surface. (See Fig. 4-3.) What is the acceleration of the more massive box? A) F/(3m) B) F/(2m) C) F/(4m) D) F/m 18) ESSAY. Write your answer in the space provided or on a separate sheet of paper. FIGURE ) Two boxes are connected by a cord running over a pulley as shown in Fig Box I of mass 8.0 kg rest on the top of the table; the coefficient of kinetic friction between box I and the table is Box II has a mass of 15.0 kg. (a) Draw the free-body diagrams for the two boxes, identifying all of the forces acting on each of the masses. (b) Calculate the acceleration of the system. (c) Calculate the tension in the cord. 3

4 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 20) An object slides on a level surface in the +x direction. It slows and comes to a stop with a constant acceleration of m/s2. What is the coefficient of kinetic friction between the object and the floor? A) 0.50 B) 0.25 C) 4.9 D) Impossible to determine without knowing the mass of the object. 20) 21) A horizontal force of 5.0 N accelerates a 4.0-kg mass, from rest, at a rate of 0.50 m/s2 in the positive direction. What friction force acts on the mass? A) 3.0 N B) 2.0 N C) 4.0 N D) 5.0 N 21) 22) A mass is placed on a smooth inclined plane with an angle of 37e to the horizontal. If the inclined plane is 5.0-m long, how long does it take for the mass to reach the bottom of the inclined plane after it is released from rest? A) 1.2 s B) 1.3 s C) 1.0 s D) 1.1 s 22) 23) A wooden block slides directly down an inclined plane, at a constant velocity of 6.0 m/s. What is the coefficient of kinetic friction, if the plane makes an angle of 25e with the horizontal? A) 0.91 B) 0.37 C) 0.47 D) ) 24) A bulldozer drags a log weighing 500 N along a rough surface. The cable attached to the log makes an angle of 30.0e with the ground. The coefficient of static friction between the log and the ground is What minimum tension is required in the cable in order for the log to begin to move? A) 268 N B) 500 N C) 224 N D) 289 N 24) ESSAY. Write your answer in the space provided or on a separate sheet of paper. 25) A 25.0-kg box is released from rest on a rough inclined plane tilted at an angle of 33.5e to the horizontal. The coefficient of kinetic friction between the box and the inclined plane is (a) Draw the free-body diagram for the box. (b) Determine the force of kinetic friction acting on the box. (c) Determine the acceleration of the box as it slides down the inclined plane. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 26) What force is needed to make an object move in a circle? A) kinetic friction B) centripetal force C) static friction D) weight 26) 27) A coin of mass m rests on a turntable a distance r from the axis of rotation. The turntable rotates with a frequency of f. What is the minimum coefficient of static friction between the turntable and the coin if the coin is not to slip? A) (4pfr2)/g B) (4p2fr2)/g C) (4p2f2r)/g D) (4pf2r)/g 27) 4

6 37) What minimum banking angle is required for an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding? (Ignore friction.) A) 41e B) 31e C) 61e D) 51e 37) ESSAY. Write your answer in the space provided or on a separate sheet of paper. 38) A 175-kg ball on the end of a string is revolving uniformly in a horizontal circle of radius m. The ball makes 2.00 revolutions in a second. (a) Determine the speed of the ball. (b) Determine the ball's centripetal acceleration. (c) Determine the force a person must exert on opposite end of the string. 39) A bucket of water can be whirled in a vertical circle without the water spilling out, even at the top of the circle when the bucket is upside down. Explain. 40) Why do airplanes bank when they turn? How would you compute the banking angle given its speed and radius of the turn? FIGURE ) A ball on the end of a string is revolved at a uniform rate in a vertical circle of radius 72.0 cm, as shown in Fig If its speed is 4.00 m/s and its mass is kg, calculate the tension in the string when the ball is (a) at the top of its path, and (b) at the bottom of its path. 42) A 1200-kg car rounds a curve of radius 67 m banked at an angle of 12e. If the car is traveling at 95 km/h, will a friction force be required? If so, how much and in what direction? 6

7 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 43) Can work be done on a system if there is no motion? A) Yes, since motion is only relative. B) Yes, if an outside force is provided. C) No, since a system which is not moving has no energy. D) No, because of the way work is defined. 44) If you walk 5.0 m horizontally forward at a constant velocity carrying a 10-N object, the amount of work you do is A) zero. B) more than 50 J. C) less than 50 J, but more than 0 J. D) equal to 50 J. 45) A container of water is lifted vertically 3.0 m then returned to its original position. If the total weight is 30 N, how much work was done? A) 180 J B) 90 J C) 45 J D) No work was done. 46) You throw a ball straight up. Compare the sign of the work done by gravity while the ball goes up with the sign of the work done by gravity while it goes down. A) Work is - on the way up and + on the way down. B) Work is - on the way up and - on the way down. C) Work is + on the way up and - on the way down. D) Work is + on the way up and + on the way down. 47) The area under the curve, on a Force versus position (F vs. x) graph, represents A) power. B) potential energy. C) work. D) kinetic energy. 48) The quantity 1/2 mv2 is A) the power supplied to the object by the force. B) the work done on the object by the force. C) the kinetic energy of the object. D) the potential energy of the object. 49) If the net work done on an object is negative, then the object's kinetic energy A) decreases. B) increases. C) remains the same. D) is zero. 50) A brick is moving at a speed of 3 m/s and a pebble is moving at a speed of 5 m/s. If both objects have the same kinetic energy, what is the ratio of the brick's mass to the rock's mass? A) 3 to 5 B) 25 to 9 C) 12.5 to 4.5 D) 5 to 3 43) 44) 45) 46) 47) 48) 49) 50) 7

8 51) You slam on the brakes of your car in a panic, and skid a certain distance on a straight, level road. If you had been traveling twice as fast, what distance would the car have skidded, under the same conditions? 51) A) It would have skidded 1.4 times farther. B) It would have skidded 4 times farther. C) It would have skidded twice as far. D) It is impossible to tell from the information given. 52) A kg mass attached to the end of a spring causes it to stretch 5.0 cm. If another kg mass is added to the spring, the potential energy of the spring will be 52) A) twice as much. B) 4 times as much. C) 3 times as much. D) the same. 53) The total mechanical energy of a system A) is equally divided between kinetic energy and potential energy. B) is either all kinetic energy or all potential energy, at any one instant. C) is constant, only if conservative forces act. D) can never be negative. 53) 54) Consider two masses m1 and m2 at the top of two frictionless inclined planes. Both masses start from rest at the same height. However, the plane on which m1 sits is at an angle of 30e with the horizontal, while the plane on which m2 sits is at 60e. If the masses are released, which is going faster at the bottom of its plane? 54) A) m1 B) m2 C) They both are going the same speed. D) cannot be determined without knowing the masses 8

9 Answer Key Testname: PRACTICE FINAL_FALL12 1) D 2) D 3) D 4) B 5) A 6) D 7) A 8) A 9) A 10) D 11) D 12) C 13) C 14) A 15) B 16) D 17) B 18) A 19) (a) Box one is acted on by the force of gravity in a downward direction, the normal force due to the table top in an upward direction, the tension in the string toward the right, and the force of friction due to the table top toward the left. Box two is acted on by the force of gravity in a downward direction and the tension in the string in an upward direction. (b) 6.1 m/s2 (c) 56 N 20) B 21) A 22) B 23) C 24) C 25) (a) The box is acted on by the force of gravity directed downward, the normal force due to the inclined plane directed perpendicular to the surface of the incline, and the force of friction due to the inclined plane directed parallel to the inclined surface in the direction opposite of the motion. (b) 40.9 N (c) 3.77 m/s2 26) B 27) C 28) B 29) C 30) D 31) B 32) B 33) A 34) B 35) A 36) D 37) D 38) (a) 6.28 m/s (b) 79.0 m/s2 (c) 13.8 N 9

10 Answer Key Testname: PRACTICE FINAL_FALL12 39) For the water to remain in the bucket, there must be a centripetal force forcing the water to move in a circle along with the bucket. That centripetal force gets larger with the tangential velocity of the water, since FR = mv2/r. The centripetal force at the top of the motion comes from a combination of the downward force of gravity and the downward normal force of the bucket on the water. If the bucket is moving faster than some minimum speed, the water will stay in the bucket. If the bucket is moving too slow, there is insufficient force to keep the water moving in the circular path, and it spills out. 40) Airplanes bank when they turn because in order to turn, there must be a force that will be exerted towards the center of a circle. By tilting the wings, the lift force on the wings has a non-vertical component which points toward the center of the curve, providing the centripetal force. The sum of vertical forces must be zero for the plane to execute a level turn. The horizontal component of the lifting force must provide the centripetal force to move the airplane in a circle. 41) (a) 3.73 N (b) 9.61 N 42) A frictional force of N down the plane is needed to provide the necessary centripetal force to round the curve at the specified speed. 43) D 44) A 45) D 46) A 47) C 48) C 49) A 50) B 51) B 52) B 53) C 54) C 10

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