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

Dr. Abubacker · Accepted Answer

(b) $F = \frac{Gm(M - m)}{x^{2}};$ For maxima,
$\frac{dF}{dm} = \frac{G}{x^{2}}(M - 2m) = 0$
or $\frac{m}{M} = \frac{1}{2}$

Q. 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

Explanation

Reviewed by Dr. Abubacker

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