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Question

If no external force acts on a system

A
Velocity of centre of mass remains constant
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B
Total kinetic energy of the system remains constant
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C
Angular momentum of system may change
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D
Total mechanical energy of the system remains constant
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Solution

The correct option is A Velocity of centre of mass remains constant
No force means no acceleration implying constant velocity. Also as velocity is constant kinetic energy remains constant. The angular momentum may change due to the change in moment of inertia. Also the total mechanical energy may change due the change in potential energy.

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