Consider a sytem of two particles 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 would the particle of mass `m_(2)` move so as to keep the mass centre of particles at the original position?

Options

A. `m_1/m_2d`
B. `d`
C. `m_2/m_1`
D. `m_1/(m_1+m_2)d`

Answer

A

Explanation

`m_1r_1=m_2r_2` … (1)
`m_1(r_1-d)=m_2(r_2-d')`….(2) from (1) and (2) we get `d'=m_1/m_2d`