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A child sits stationary at one end of a long trolley moving uniformly with a speed $v$ on a smooth horizontal floor.
If the child gets up and runs about on the trolley in any manner, what is the speed of the C.M. of the system?
If the child gets up and runs about on the trolley in any manner, what is the speed of the C.M. of the system?
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When the child gets up and runs on the trolley, the forces acting on the system (child + trolley) are internal. Since, no external force is acting on the system, the speed of the C.M. of the system remains unchanged.
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