A system of two particles is having masses `m_(1)` and `m_(2)`. If the particle of mass `m_(1)` is pushed towards the centre of mass of particles through a distance d, by what distance the particle of mass `m_(2)` should be moved so as to keep the centre of mass of particles at the original position ?

Options

A. `((m_(1))/(m_1) + m_(2))) d`
B. d
C. `((m_(1))/(m_(2)))d`
D. `((m_(2))/(m_(1))) d`

Answer

c

Explanation

In two particles system, if the first particle is pushed towards the centre of mass through a distance d. Then to keep the centre of mass at the same position, the second particle should be moved by the distance `= ((m_(1))/(m_(2))) d`