Two blocks of different masses are attached to a spring and the system is kept on a smooth horizontal surface. Now if any of the blocks is given a sharp impulse, what will be the motion of centre of mass (COM) of the system with respect to ground after a long time

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the COM will continue to accelerate

the COM will eventually come to rest

the COM will continue to move with constant speed

the COM will first accelerate then will suddenly come to rest

answer is C.

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Detailed Solution

As there is no constant external force acting on the system, the COM will move with constant speed. The spring force acts as an internal force for the whole system hence the motion of COM wont be influenced by this internal force

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