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 is moved, so as to keep the center of mass at the same position?

Options

A. d
B. `(m_(2))/(m_(1))d`
C. `(m_(1))/(m_(1)+m_(2))d`
D. `(m_(1))/(m_(2))d`

Answer

D

Explanation

`m_(1)Deltax_(1)=m_(2)Delta_(2)`
`m_(1)d=m_(2)Deltax_(2)`
`Deltax_(2)=(m_(1)d)/(m_(2))`