# How does the force of gravitation between two objects change when the distance between them is reduced to half?

$\text{The force of gravitation varies inversely as square of the distance between two objects.} \\ F \propto \frac{1}{d^{2}} \\ When all other factors remain constant, and distance is 1 unit then: \\ F=\frac{1}{1^{2}}=1 \\ When distance is 1 / 2 unit then: \\ F=\frac{1}{\left(\frac{1}{2}\right)^{2}} \\ Or, F=4 \\ \text{This means that the force of gravitation between two objects becomes} \\ \text {four times when the distance between them is reduced to half.}$

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