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JEE Main Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main

A solid ball of mass and radius , spinning with angular velocity , falls on a horizontal slab of mass with rough upper surface (coefficient of friction ) and smooth lower surface. Immediately after the collision, the normal component of the velocity of the ball remains half of its value just before the collision, and it stops spinning. Find the velocity of the ball in the horizontal direction immediately after the impact. (Given: )

Answer: 2

Solution

Let be the horizontal friction impulse at the contact. Since the spin is entirely removed, angular momentum about the centre gives

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Question ID VK-158858