Two stars of masses `m_(1)andm_(2)` are parts of a binary solar system. The radii of their orbits are `r_(1)andr_(2)` respectively. The magnitude of the gravitational force `m_(1)` exerts on `m_(2)` is:

Options

A. `(m_(1)m_(2)G)/((r_(1)+r_(2))^(2))`
B. `((m_(1)+m_(2)))/((r_(1)+r_(2))^(2))`
C. `(m_(1)G)/((r_(1)+r_(2))^(2))`
D. `(m_(2)G)/((r_(1)+r_(2))^(2))`

Answer

A

Explanation

Separation between given stars of mass `m_(1)andm_(2)=r_(1)+r_(2)`
`thereforeF_(1)=G(m_(1)m_(2))/((r_(1)+r_(2))^(2))`