Chapter 8、9、10 Major: 1. 2. 3. 4. 5. 6. Name: Identical forces act for the same length of time on two different masses. The change in momentum of the smaller mass is ( ) (A) smaller than the change in momentum of the larger mass, but not zero. (B) larger than the change in momentum of the larger mass. (C) equal to the change in momentum of the larger mass. (D) zero. An elastic collision of two objects is characterized by the following. ( ) (A) Total momentum of the system is conserved. (B) Total energy of the system remains constant. (C) Total kinetic energy of the system remains constant. (D) A, B, and C are all true. An inelastic collision of two objects is characterized by the following. ( ) (A) Total momentum of the system is conserved. (B) Total energy of the system remains constant. (C) Total kinetic energy of the system remains constant. (D) Only A and B are true. A red ball with a velocity of +3.0 m/s collides head-on with a yellow ball of equal mass moving with a velocity of -2.0 m/s. What is the velocity of the red ball after the collision? ( ) (A) zero (B) -2.0 m/s (C) +3.0 m/s (D) +2.5.0 m/s A 0.140-kg baseball is dropped and reaches a speed of 1.20 m/s just before it hits the ground. It rebounds with a speed of 1.00 m/s. What is the change of the ball's momentum? ( ) (A) 0.0280 kg∙m/s upwards (B) 0.0280 kg∙m/s downwards (C) 0.308 kg∙m/s upwards (D) 0.308 kg∙m/s downwards Two air track carts move along an air track towards each other. Cart A has a mass of 450g and moves toward the right with a speed of 0.850m/s and air track cart B has a mass of 300g and moves toward the ID No.: left with a speed of 1.12m/s. What is the total momentum of the system? ( ) (A) 0.047 kg∙m/s toward the right (B) 0.719 kg∙m/s toward the right (C) 0.750 kg∙m/s toward the left (D) 0.047 kg∙m/s toward the left 7. A 0.250-kg rubber ball is dropped from a height of 2.00 m. It hits the floor and rebounds to a height of 1.80 m. What is the magnitude of impulse the floor applies to the ball? ( ) (A) 0.950 N∙s (B) 0.0804 N∙s (C) 1.33 N∙s (D) 3.05 N∙s 8. During a collision with a wall, the velocity of a 0.200-kg ball changes from 20.0 m/s toward the wall to 12.0 m/s away from the wall. If the time the ball was in contact with the wall was 60.0 ms, what was the magnitude of the average force applied to the ball? ( ) (A) 40.0N (B) 107N (C) 16.7N (D) 26.7N 9. A 4.00-kg mass and a 9.00-kg mass are being held at rest against a compressed spring on a frictionless surface. When the masses are released, the 4.00-kg mass moves to the east with a speed of 2.00 m/s. What is the velocity of the 9.00-kg mass after the masses are released? ( ) (A) 2.00 m/s west (B) 0.888 m/s west (C) 0.500 m/s east (D) 4.50 m/s west 10. A 2.00-kg mass object traveling east at 20.0 m/s collides with a 3.00-kg mass object traveling west at 10.0 m/s. After the collision, the 2.00-kg mass has a velocity 5.00 m/s to the west. How much kinetic energy was lost during the collision? ( ) (A) 458 J (B) 516 J (C) 91.7 J (D) 175 J 11. A 3.00-kg object traveling 20.0 m/s west collides with a 5.00-kg mass object traveling 12.0 m/s west. The collision is perfectly elastic, what is the velocity of the 3.00-kg object after the collision? ( ) (A) 20.0 m/s east (B) 8.00 m/s west (C) 12.0 m/s east (D) 10.0 m/s west 12. Two objects of the same mass move along the same line in opposite directions. The first mass is moving with speed v. The objects collide in a perfectly inelastic collision and move with speed 0.100v in the direction of the velocity of the first mass before the collision. What was the speed of the second mass before the collision? ( ) (A) 1.200v (B) 10.0v (C) 0.900v (D) 0.800v 13. A 2.00-m rod of negligible mass connects two small objects. The mass of one object is 1.00 kg and the other is 1.50 kg. How far is the center of mass of this system from the 1.00 kg mass? ( ) (A) 0.800 m (B) 0.670 m (C) 1.33 m (D) 1.20 m 14. Two children are riding on a merry-go-round. Child A is at a greater distance from the axis of rotation than child B. a) Which child has the larger angular displacement? ( ) b) Which child has the larger linear displacement? ( ) c) Which child has the larger angular speed? ( ) d) Which child has the larger tangential speed? ( ) e) Which child has the larger centripetal acceleration? ( ) f) Which child has the larger tangential acceleration? ( ) (A) Child A (B) Child B (C) They have the same (zero). (D) They have the same (non-zero). 15. When you ride a bicycle, in what direction is the angular velocity of the wheels? ( ) (A) to your left (B) to your right (C) forwards (D) backwards 16. If a constant net torque is applied to an object, that object will ( ) (A) rotate with constant linear velocity. (B) rotate with constant angular velocity. (C) rotate with constant angular acceleration. (D) none of above. 17. A wheel that is rotating at 33.3 rad/s is given an angular acceleration of 2.15 rad/s2. Through what angle has the wheel turned when its angular speed reaches 72.0 rad/s? ( ) (A) 83.2 rad (B) 316 rad (C) 697 rad (D) 948 rad 18. A wrench is acting on a nut. The length of the wrench lies directly to the east of the nut. A force 150 N acts on the wrench at a position 15.0 cm from the center of the nut in a direction 30.0°north of east. What is the torque about the center of the nut? ( ) (A) 22.5 N∙m (B) 11.3 N∙m (C) 19.5 N∙m (D) 2250 N∙m 19. A person pushes on a doorknob with a force of 5.00 N perpendicular to the surface of the door. The doorknob is located 0.800 m from axis of the hinges of the door. The door begins to rotate with an angular acceleration of 2.00 rad/s2. What is the moment of inertia of the door about the hinges? ( ) 2 (A) 2.00 kg∙m (B) 1.00 kg∙m2 (C) 8.00 kg∙m2 (D) 6.40 kg∙m2 20. The moment of inertia of a uniform rod (about its center) is given by I = ML2/12. What is the kinetic energy of a 120-cm rod with a mass of 450 g rotating about its center at 3.60 rad/s? ( ) (A) 0.350 J (B) 4.20 J (C) 0.700 J (D) 0.960 J 21. A thin cylindrical shell is released from rest and rolls without slipping down an inclined plane that makes an angle of 30° with the horizontal. How long does it take it to travel 3.1 m? ( ) (A) 1.4 s (B) 1.1 s (C) 2.1 s (D) 1.6 s 22. A homogeneous cylinder is released from rest and rolls without slipping down an inclined plane inclined at 18°to the horizontal. How fast is it moving after it has rolled 2.2 m down the plane? ( ) (A) 4.3 m/s (B) 5.2 m/s (C) 3.0 m/s (D) 3.7 m/s 23. A figure skater is spinning slowly with arms outstretched. She brings her arms in close to her body and her angular speed increases dramatically. The speed increase is a demonstration of ( ) (A) conservation of kinetic energy: her moment of inertia is decreased, and so her angular speed must increase to conserve energy. (B) conservation of total energy: her moment of inertia is decreased, and so her angular speed must increase to conserve energy. (C) conservation of angular momentum: her moment of inertia is decreased, and so her angular speed must increase to conserve angular momentum. (D) Newton's second law for rotational motion: she exerts a torque and so her angular speed increases. 24. A figure skater rotating at 5.00 rad/s with arms extended has a moment of inertia of 2.25 kg∙m2. If the arms are pulled in so the moment of inertia decreases to 1.80 kg∙m2, what is the final angular speed? ( ) (A) 2.25 rad/s (B) 4.60 rad/s (C) 6.25 rad/s (D) 1.76 rad/s 25. A force at F 4.00 N iˆ 3.00 N ˆj is applied to an object at position r 2.00m iˆ 3.00m ˆj . What is the torque about the origin? ( ) (A) 8.00 N m iˆ 9.00 N m ˆj (B) -1.00 N m kˆ (C) 8.00 N m iˆ+ 9.00 N m ˆj (D) -18.00 N m kˆ 26. A 40.0-kg child running at a speed 3.00 m/s jumps on a stationary playground merry-go-round at a distance 1.50 m from the axis of rotation of the merry-go-round. The child is traveling tangential to the edge of the merry-go-round which has a 600 kg∙m2 moment of inertia about its axis of rotation as she is running. What is the angular speed of the merry-go-round after the child jumps on it? ( ) (A) 0.788 rad/s (B) 0.261 rad/s (C) 2.00 rad/s (D) 3.14 rev/s Write your answer in the table. 1 2 3 4 5 C D D B C 6 7 8 9 10 A D B B A 11 12 13 14 15 D D D AADAAA A 16 17 18 19 20 C D B A A 21 22 23 24 25 D C C C D 26 B