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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 CM of the (trolley + child) system?

Q7.3     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 CM of the (trolley + child) system?

Answers (1)
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Since child and trolley are considered in a system thus speed of the centre of mass change only when an external force will act on the system. When the child starts to move on the trolley the force produced is the internal force of the system so this will produce no change in the velocity of the CM.

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