Four particles having masses, m, 2m, 3m, and 4m are placed at the four corners of a square of edge a. Find the gravitational force acting on a particle of mass m placed at the centre.

Options

A. `4sqrt(2)(Gm^(2))/(a^(2))`
B. `(3sqrt(2)Gm^(2))/(a^(2))`
C. `(2sqrt(2)Gm^(2))/(a^(2))`
D. `(sqrt(2)Gm^(2))/(a^(2))`

Answer

A

Explanation

Find individual forces and calculate resultants