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 mu _k. Find an expression for the bullet's speed V_bullet. Express your answer in terms of the variables m, M, mu _k, d, end appropriate constants. What is the speed of a 12 g bullet that when fired into a 12 kg stationary wood block, causes the block to side 6.0 cm across a wood table? Assume that mu _k = 0.20. Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

let the bullet speed be v

conserving energy

change in kinetic energy=work done by frictional force

frictional force=uk(M+m)g

o.5*m*v^2=uk*(m*M)g*d

so we got

v=sqrt(2*uk*(m+M)gd/m)

Part B

putting the values we got

v=15.34 m/s

we

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