MHT CET 2022 Physics question

A bullet is fired from the gun. It hits the solid block resting on a frictionless surface, gets embedded into it and both move jointly. In this process,

(A)both momentum and kinetic energy are not conserved
(B)only kinetic energy is conserved
(C)both momentum and kinetic energy are conserved
(D)only momentum is conservedCorrect

Answer: (D)

Solution

The bullet embeds in the block, so this is a perfectly inelastic collision. No external horizontal force acts (the surface is frictionless), so the total linear momentum of the bullet-block system is conserved: . However, kinetic energy is not conserved: while $ =

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Question ID VK-094222