A bullet of mass m = 12.1 g traveling horizontally at speed vo = 795 m/s strikes

Question

A bullet of mass m = 12.1 g traveling horizontally at speed vo = 795 m/s strikes a block of mass M = 7.51 kg sitting on a frictionless, horizontal table, and gets buried inside the block. a) Find V, the speed of the block-and-bullet after the bullet comes to rest inside the block. ____m/s b) Find ?E, the amount of energy lost to the system due to friction between the block and the bullet. NOTE: Energy lost is always positive. ____J c) Suppose now that the block is sitting on a horizontal table, and there is friction between the block and the table. If after the bullet hits the block it now slides for a distance s = 1.64 m before coming to a stop, find ?k, the coefficient of kinetic friction between the block and the table. d) Suppose now that the block is initially hanging at rest on a masseless rope of length L = 3.78 m when the bullet strikes. Assume the bullet comes to rest before the block begins to move perceptibly. Find h, the height above its initial position the block-and-bullet will swing before coming momentarily to rest. Assume there is no friction in the air or in the rope. _____m

Explanation / Answer

energy conservation 1/2 m v^2 = 1/2(m+M)V^2 12.1 *795*795 = (12.1+7510)V^2 V = 31.88m/s

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