First slide
Centre of mass(com)
Question

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 center of mass of the system will 

Easy
Solution

Velocity of center of mass will remain unaffected as no external forces acts on system.

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