MHT CET 2023 Physics question

PhysicsWork, Energy and PowerMHT CET 2023

A solid cylinder of mass 3 Kg is rolling on a horizontal surface with velocity 4 m/s. It collides with a horizontal spring whose one end is fixed to rigid support. The force constant of material if spring is 200 N/m. The maximum compression produced in the spring will be (assume collision between cylinder & spring be elastic)

Answer: (D)

Solution

The cylinder rolls without slipping, so its total kinetic energy is translational plus rotational: with and , giving . At maximum

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Question ID VK-097997