A child is sitting at one end of a long trolley moving with a uniform speed $v$ on a smooth horizontal track. If the child starts running towards the other end of the trolley with a speed $u$ (w.r.t. trolley), the speed of the centre of mass of the system will be

u + v

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v - u

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v

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None of these

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Solution

The correct option is C $v$
Velocity of centre of mass will remain unaffected as no external force acts on system.

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A child is sitting at one end of a long trolley moving with a uniform speed v on a smooth horizontal track. If the child starts running towards the other end of the trolley with a speed u (w.r.t. trolley), the speed of the centre of mass of the system will be

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