A large no of identical point masses m are placed along x- axis, at x = 0, 1, 2, - Physics - Gravitation

Question

A large no of identical point masses m are placed along x- axis, at
x = 0, 1, 2, 4 so on the magnitude of gravitational force on mass
at origin (x = 0)will be???

Jyoti Pant · Accepted Answer

The magnitude of gravitational force on mass at origin is given
by,
F=G×m×m11+G×m×m22+G×m×m42+G×m×m82+
[Using, F=GMM'r2Given, M=M'=m]So, F=Gm×m[1+14+116+
]=Gm2[141-14]=Gm2×13=Gm23

A large no. of identical point masses m are placed along x- axis, at x = 0, 1, 2, 4...so on. the magnitude of gravitational force on mass at origin (x = 0)will be???