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Unformatted text preview: homework 06 ALIBHAI, ZAHID 1 Latest unpenalized work: Feb 26 2007 Mon day 04:00 (after this date you can not make a perfect score). Work cutoff: Feb 28 2007, 4:00 am. Question 1 part 1 of 1 10 points The figure below shows a rough semicircu lar track whose ends are at a vertical height h . A block placed at point P at one end of the track is released from rest and slides past the bottom of the track. h P What height on the far side of the track does the block reach if the coefficient of kinetic friction is 0 . 3 . 1. h = 0 . 3 h 2 2. h = h 3. h = 0 . 3 h 2 4. h = 0 . 7 h 2 5. h = 0 . 7 h 6. h = 0 . 3 h 7. It is between zero and h ; the exact height depends on how much energy is lost to fric tion. 8. h = 0 . 7 h 2 Question 2 part 1 of 1 10 points A 9 . 8 kg mass is attached to a light cord that passes over a massless, frictionless pulley. The other end of the cord is attached to a 2 . 9 kg mass. The acceleration of gravity is 9 . 8 m / s 2 . 6 . 2 m 9 . 8 kg 2 . 9 kg Use conservation of energy to determine the final speed of the first mass after it has fallen (starting from rest) 6 . 2 m. Answer in units of m / s. Question 3 part 1 of 2 10 points Consider the looptheloop setup, where the mass is released from rest at C with height h . The mass is sliding along a frictionless track, and the radius of the loop is R . h R A B C D m Determine the height h such that the cen tripetal acceleration at A is a c = 2 g . 1. h = 5 R 2. h = 4 1 2 R 3. h = 4 R 4. h = 3 1 2 R 5. h = 2 1 2 R homework 06 ALIBHAI, ZAHID 2 6. h = 3 R 7. h = 2 R Question 4 part 2 of 2 10 points Consider a new situation where h = 4 R . The speed at the bottom of the track is 1. bardbl vectorv bardbl = radicalbig 5 g R. 2. bardbl vectorv bardbl = radicalbig 3 g R. 3. bardbl vectorv bardbl = radicalbig 6 g R. 4. bardbl vectorv bardbl = radicalbig 9 g R. 5. bardbl vectorv bardbl = radicalbig g R. 6. bardbl vectorv bardbl = radicalbig 8 g R. 7. bardbl vectorv bardbl = radicalbig 4 g R. 8. bardbl vectorv bardbl = radicalbig 7 g R. 9. bardbl vectorv bardbl = radicalbig 2 g R. 10. bardbl vectorv bardbl = radicalbig 10 g R. Question 5 part 1 of 3 10 points A block is pushed against the spring with spring constant 8 . 2 kN / m (located on the left hand side of the track) and compresses the spring a distance 5 . 1 cm from its equilibrium position (as shown in the figure below). The block starts at rest, is accelerated by the compressed spring, and slides across a frictionless track except for a small rough area on a horizontal section of the track (as shown in the figure below)....
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