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JEE Main Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main

A child of mass 4 kg jumps from cart to cart and then immediately back to cart . The mass of each cart is 20 kg and they are initially at rest. In both cases the child jumps at 6 m/s relative to the cart. If the cart moves along the same line with negligible friction with the final velocities of and respectively, find the ratio of and .

Answer: 1

Solution

Take the direction as positive. Jump 1 (child+cart , total mass 24 kg, initially at rest): momentum conservation with relative speed 6 gives cart 's recoil m/s, child's speed m/s. The child then sticks to cart (mass 20 kg): combined speed m/s. Jump 2

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Question ID VK-158835