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Q.

Consider a two particle system with 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?

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a

m2m1d

b

m1m2d

c

d

d

m1m1+m2d

answer is A.

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Detailed Solution

For the centre of mass to not move 

m1Δx1+m2Δx2=0

⇒m1d+m2∆x2=0

⇒∆x2=-m1dm2

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