A mass M is split into two parts m and ( M - m ) , which are then separated by a certain distance. The ratio m : M which maximizes the gravitational force between the parts is

Question

A mass M is split into two parts m and ( M - m ) , which are then separated by a certain distance. The ratio m : M which maximizes the gravitational force between the parts is, 1 : 4, 1 : 2, 4 : 1, 2 : 1

MARKS App · Accepted Answer

F = G m ( M - m ) x 2 ; For maxima, d F d m = G x 2 M - 2 m = 0 or m M = 1 2

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