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SundayReviewChris

# SundayReviewChris - Physics 7A Final Review Christopher...

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Physics 7A Final Review Christopher Smallwood December 14, 2008, 12-2pm, 10 Evans 1. In John Long’s book How To Rock Climb , he writes that you should avoid using the American Triangle, shown in panel A , as an anchor setup. Instead, use the alternative arrangement shown in panel B . Why? 2. A block of mass m 1 is set into motion toward the right by firing a bullet of mass m 2 into it’s left side at initial velocity v 0 . The two then stick together sliding along the ground until they begin to slide up a curved ramp as shown in the diagram. The coefficient of friction between the block and both the ground and ramp is zero, as is the coefficient of friction between the bottom of the ramp and the ground. (a) At which times are the following quantities conserved: energy? momentum in the x-direction? momentum in the y-direction? (b) Calculate the combined velocity v 1 of the block-bullet system after the block has been set into motion, but before it has begun sliding up the ramp. (c) What is the maximum height the block will attain? 1

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(d) What must be the shape of the ramp if you require, after the block begins to slide upwards, that the acceleration of the ramp be constant? 3. Two beads, each of mass m , are threaded on a massless frictionless circular hoop of radius R . At time t = 0 the arrangement is balanced vertically on a table with the beads at the top of the hoop, as shown in the diagram. Assuming that the hoop is initially balanced well enough to keep it from tipping forward or backward, and assuming that the beads are given an infinitesimal nudge so that they barely start to
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SundayReviewChris - Physics 7A Final Review Christopher...

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