Question

Object A attracts object B with a gravitational force of 10 newtons from a given distance. If the distance between the two objects is doubled, what is the changed force of attraction between them?

Answer 1

\[ F = G \frac{m_1 m_2}{r^2}\] the new radius is two times the old radius so \(r_n=2r \)

\[F=G\frac{m_1m_2}{4r^2} = \frac{1}{4}G \frac{m_1m_2}{r^2} = \frac{1}{4}F\]