Two bodies of masses `m_(1)` and `m_(2)` are separated by a distance R. The distance of the centre of mass of the bodies from the mass `m_(1)` is

Options

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

Answer

A

Explanation

Consider mass `m_(2)` is at the origin.
Centre of mass of the system
`X_(em)=(m_(1)xx0+m_(2)xxR)/(m_(1)+m_(2))`
`=(M_(2)R)/(m_(1)+m_(2))`