JEE Main Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main

A marble and a cube have the same mass, starting from rest; the marble rolls without slipping while the cube slides (frictionlessly) down the same ramp, which has just enough friction at the marble's contact point to sustain rolling but offers negligible resistance to the sliding cube. When they arrive at the bottom, the ratio of the speed of the cube to the centre-of-mass speed of the marble is

Answer: (A)

Solution

The cube slides without friction, so all its lost PE converts to translational KE: . The marble rolls without slipping, so its KE is shared between translation

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Question ID VK-158779