Question

If the distance between two objects is decreased by x%, what will be the percentage increase in gravitational force between them?

Answer 1

\(\therefore\ F=\frac{Gm_1m_2}{r^2}\) or  \(F=\frac{K}{r^2} \)

\(\therefore\frac{\Delta F}{F}\times100=2\frac{\Delta r}{r}\times100=2\times x\%=2x\% \)

i.e., gravitational force will increase by \(2x\%\)