JEE Main Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main

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 the wood and the surface is μ, the speed of the bullet at the time of striking the block is (where m is the mass of the bullet)

Answer: (C)

Solution

By momentum conservation, the combined mass (M+m) moves with speed V = mv/(M+m). By the work-energy theorem, this KE is dissipated

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Question ID VK-154205