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Four particles having masses, m, 2m, 3m,...

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.

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
`F_("net") = sqrt(2) (2F)`

`= 2sqrt(2) (G.m.m)/(r^(2)`
`(2sqrt(2) Gm^(2))/((a//sqrt(2))^(2)) = (4sqrt(2) Gm^(2))/(a^(2))`
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