Quiz 5, Physics 2a, Oct 29 2010 Double check that you bubble in your code number correctly. If there’s a mistake, your score will be lowered –as a penalty. 1 VERSION A 1. You push an eraser, which weighs 0.5N , a distance of 2m across a tabletop. The eraser is pushed with a horizontal force at a small, negligible, constant velocity. The coefficient of friction between the eraser and the table is µK = 0.2. Approximately what is the force of friction? (a) 0.5N (b) 0.2N (c) 0.1N (d) 0.01N 2. Same setup. How much work have you done on the eraser? (a) 1J (b) −1J (c) 0.1J (d) 0.2J 3. You push a loaded grocery cart with force F~ = 40Nbi − 30N b j, and it undergoes a displacement ~s = 10mbi + 2mb j. How much work did you do on the cart? (a) 340J (b) −340J (c) 400J (d) −400J 4. A 4kg watermelon carried to the top of Urey Hall, up many flights of stairs. The distance traveled along the stairs was 40m, and the elevation gain to the top of Urey Hall is 20m. Approximately much work was done carrying the watermelon to the top of Urey? (a) 160J (b) 1600J (c) 80J (d) 800J 5. The watermelon is now dropped off the top of Urey (height 20m). What is the kinetic energy of the watermelon when it hits the ground (ignoring air resistance). (a) 1600J (b) 800J 2 (c) 500J (d) 200J. 6. Same setup, but this time the watermelon queen at the top of Urey throws the melon horizontally outward, with a velocity of 5m/s. What is the watermelon’s kinetic energy when it hits the ground? (a) 800J (b) 850J (c) 900J (d) 1600J 7. Applying a force of 30N to a spring compresses it a distance of 0.1m. What is the spring’s constant k? (We’re intentionally omitting the appropriate MKS units.) (a) 300 (b) 10 (c) 30 (d) 3 8. Same setup. How much work is required to compress the spring by 0.1m? (a) 1.5J (b) 3J (c) 6J (d) 1J 9. You do 400J of work, pushing with a constant force on a 8kg cart. Your force is directed in the same direction as the cart’s motion and you can ignore friction. What is the velocity of the cart right after you’ve done all that work? (a) 50m/s (b) 25m/s (c) 20m/s (d) 10m/s. 10. This setup is like one of your homework problems: a 3kg block is on a table, and connected with a string, which goes over a pulley, and tied to the other end of the string is a 2kg block. The 2kg block slides on the table without friction (this differs from your homework question). What is the approximate velocity of the blocks after the 2kg block has descended 0.5m? 3 (a) 2m/s (b) 4m/s (c) 8m/s (d) 10m/s. 4