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Gravitation — Science STD 9 — Question

Gujarat BoardEnglish MediumSTD 9ScienceGravitation3 Marks
Question
Describe how the gravitational force between two objects depends on the distance between them.
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Answer

The gravitational force F between two bodies of masses M and m kept at a distance d from each other is:
$\text{F}=\text{G}\times\frac{\text{m}\times\text{M}}{\text{d}^2}$
The force between two bodies is inversely proportional to the square of the distance between them. That is,
$\text{F}\propto\cfrac{1}{\text{d}^2}$
Therefore, if we double the distance between two bodies, the gravitational force becomes one-fourth and if we halve the distance between two bodies, then the gravitational force becomes four times.

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