A wooden block of mass M rests on a horizontal surface. A bullet of mass m moving in the horizontal direction strikes and gets embedded in it. The combined system covers a distance x on the surface. If the coefficient of friction between wood and the surface is µ, the speed of the bullet at the time of striking the block is (where m is mass of the bullet)
Text Solution
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Let speed of the bullet = v
Speed of the system after the collision = V
By conservation of momentum 
⇒ ⇒ 
So the initial K.E. acquired by the system
= 
This kinetic energy goes against friction work done by friction = 
By the law of conservation of energy
⇒ ⇒ 
∴ ∴ 
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