Page 2 (20) Page 3 (12) Page 4 (14) Page 5 (14) Total (60) PHYSICS 11 (Fall 2003) Exam 3. Elementary Physics November 21, 2003 SCORE BOX

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1 INSTRUCTIONS: Except for the multiple choice questions 1 5, you must show all your work. An answer will not be enough; understanding must be demonstrated as well. This can take the form of a clear calculation, a graph or, where appropriate, a clear written explanation. For questions 6, 7 and 8 you will receive partial credit for taking the right steps towards a solution, even if you make a mistake towards the end of your work. No books or notes are permitted in this examination. Writing instruments and a calculator are the only items that you will need. A supplemental formula sheet will be provided with the exam. ** READ THE QUESTIONS CAREFULLY ** SCORE BOX Page 2 (20) Page 3 (12) Page 4 (14) Page 5 (14) Total (60) αβγδ 1 page total:

2 1. A gun recoils when it is fired, so the gun and the bullet both get some energy and some linear momentum. Both the gun and the bullet get equal (a) but opposite amounts of momentum (b) amounts of kinetic energy (c) both (d) neither 2. A 0.10 kg object moving initially with a velocity of 0.20 m/s eastward makes an elastic head-on collision with with a 0.15 kg object initially at rest. What is the final velocity of the 0.15 kg object after the collision? (a) 0.16 m/s eastward (b) 0.16 m/s westward (c) 0.04 m/s eastward (d) 0.04 m/s westward 3. A ladybug hangs on for dear life to the outer edge of a turntable that spins with constant angular speed. What can be said about the net force and net torque on the ladybug? (a) Both the net force and net torque are zero. (b) Neither the net force nor the net torque are zero. (c) The net force is zero and the net torque is not zero. (d) The net force is not zero and the net torque is zero. 4. A solid disk is released from rest and rolls without slipping down an inclined plane that makes an angle of 25.0 with the horizontal. What is the speed of the disk after it has rolled 3.00 m, measured along the plane? (a) 3.53 m/s (b) 4.07 m/s (c) 5.71 m/s (d) 6.29 m/s 5. The rotating systems shown in the figure differ only in that the two identical movable masses are positioned a distance r from the axis of rotation (left), or a distance r/2 from the axis of rotation (right). If you release the hanging blocks simultaneously from rest, (a) the block at left lands first. (b) the block at right lands first. (c) both blocks land at the same time. (d) it is impossible to tell which block reaches the bottom first. αβγδ 2 page total:

3 6. Three small masses are attached together by rigid lightweight rods as shown in the diagram to the right. The 1.2 kg mass is located at the origin. The 9.0 kg mass is located on the y axis at y = +1.0 m and the 2.5 kg mass is located at x = m on the x axis. You may assume each mass is small enough in size to be considered as a geometric point, and that the rods are of negligible mass. This rigid object is free to rotate about the z axis which passes through the origin and is perpendicular to the plane of this page. There is a force, F, of magnitude 11.0 N that acts on the 9.0 kg mass. This force points entirely in the +x direction. (a) Find the rotational inertia of this arrangement of masses about the rotation axis. (b) Find the torque produced by F about the rotation axis at the time shown in the diagram (c) Find the angular acceleration of this rigid object at the time shown in the diagram. αβγδ 3 page total:

4 7. A 5.0 meter length diving board of mass 20.0 kg is attached to two pillars. Pillar A is at the left end of the board and pillar B is located 1.60 m to the right of pillar A. A young diver of mass 40 kg stands at the right end of the board. (a) Draw a free body diagram for the diving board. This diagram should show all the forces that act on the diving board, and exactly where each force acts, and in what direction each force acts. (b) Write two equations which show how the forces in your diagram in part (a) are related in order for the diving board to be in translational and rotational equilibrium. Use the left end of the diving board as your origin. Use these equations to find the magnitude and direction of the force exerted by each of the two pillars. (10) αβγδ 4 page total:

5 8. A physics professor, holding two dumbbells, one in each hand, stands on a rotating platform. Initially, the physicist hold the dumbbells straight out at arm s length. In this position, the moment of inertia of the physicist, the dumbbells and the platform is 50.0 kg m 2 and the platform is rotating at 3.0 radians per second. When he pulls his arms in, the moment of inertia is reduced to 30.0 kg m 2. (a) Find the new angular velocity of the platform. (7) (b) Find the work done by the physicist when he pulled his arms in. (7) αβγδ 5 page total:

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