A bullet of mass m is fired into a block of mass M that is at rest. The block, w

Question

A bullet of mass m is fired into a block of mass M that is at rest. The block, with the bullet embedded, slides distance d across a horizontal surface. The coefficient of kinetic friction is ?k.

Part A

Find an expression for the bullet's speed vbullet.

Express your answer in terms of the variables m, M, ?k, d, and appropriate constants.

Part B

What is the speed of a 11g bullet that, when fired into a 11kg stationary wood block, causes the block to slide 5.6cm across a wood table? Assume that ?k=0.20.

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

Part A:

conserving KE

0.5*m*v^2 = ?k*(m+M)g*d

so v = sqrt((2*?k*(m+M)g*d)/m)

Part B:

substituting in above expression

v = sqrt((2*0.2*(0.011+11)*9.8*0.056)/0.011)

so v = 219.74 m/s

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