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Question

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

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Solution

The correct option is **A** m1m2d

the 2 masses are m1and m2

let x and y be the distance of m1and m2 from the centre of mass respectively...

now,m1x=m2y

the mass m1 is moved by a distance d,

let the mass m2 be moved by a distance D

therefore, m1(x−d)=m2(y−D)

m1x−m1d=m2y−m2D

by eqn (i) m1x=m2y

=>−m1d=−m2D

= D=m1dm2

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