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JEE Main Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main

A 2 kg ball moving at 24 ms⁻¹ undergoes an inelastic head-on collision with a 4 kg ball moving in the opposite direction at 48 ms⁻¹. If the coefficient of restitution is 2/3, their velocities (in ms⁻¹) after impact are [EAMCET 2004]

Answer: (A)

Solution

Using v₁' = [(m₁−em₂)u₁ + m₂(1+e)u₂]/(m₁+m₂) and v₂' = [(m₂−em₁)u₂ + m₁(1+e)u₁]/(m₁+m₂), with m₁=2, m₂=4, e=2/3, u₁=24,

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Question ID VK-153672