How does the force of gravitation between two objects change when the distance between them is reduced to half?
Solution and Explanation
According to the universal law of gravitation, gravitational force (\(F\)) acting between two objects is inversely proportional to the square of the distance (\(r\)) between them, i.e.,
\(๐นโ \frac{1 }{๐^2 }\)
If distance r becomes \(\frac{r}2\), then the gravitational force will be proportional to
\(\frac1{ (\frac๐{2})^2}\) = \(\frac4{๐^2}\)
Hence, if the distance is reduced to half, then the gravitational force becomes four times larger than the previous value.
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