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Question

# Consider a two-particle system with the particles having masses m1 and m2. If the first particle is pushed towards the centre of mass through a distance d, by what distance should the second particle be moved so as to keep the centre of mass at the same position?

A

()d

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B

d

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C

d

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D

()d

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Solution

## The correct option is C d Again, as we aleady know , △XCM = m1△X1+m2△X2m1+m2 △XCM = 0 Assuming leftards as negative and rightwards as potive 0=m1d+m2d′m1+m2 d' = −m1dm2 The negative sign indicates that m2 should be shifted by (m1m2) d leftwards in order to keep the COM stationary.

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