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Q.

Consider a two particle system with particles having masses $m_{1}$ and $m_{2}$ . 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

$\frac{m_{1}}{m_{1} + m_{2}} d$

b

$\frac{m_{2}}{m_{1}} d$

c

$\frac{m_{1}}{m_{2}} d$

d

d

answer is D.

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Detailed Solution

$m_{1} d_{1} = m_{2} d_{2}$ , hence $d_{2} = \frac{m_{1} d_{1}}{m_{2}}$

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