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A solid cylinder of mass m rolls on a ro...

A solid cylinder of mass `m` rolls on a rough surface with velocity `v_(0)`. It collides elastically with a cubical block of same mass at rest. The centre of mass of both the bodies are at same height. Coefficient of friction between horizontal surface and cylinder as well as horizontal surface and cube is `mu`. No frictional exists between cylinder and cube. The cylinder collides the, cube at `t = 0`, then.

Percentage of energy of cylinder lost due to collision is:

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