Question

the magnitude of the gravitational force between two objects is 20 newtons. if the mass of each object was doubled, the magnitude of the gravitational force between the objects would be?

Answer 1

\[F_{old} = G \frac{ Mm }{ R^{2} }\]Since the masses are doubled, M -> 2M and m -> 2m. \[F_{new} = G \frac{ 4Mm }{ R^{2} }\]\[F_{new} = 4G \frac{ Mm }{ R^{2} }\]\[F_{new} = 4F_{old}\] So, the magnitude of the gravitational force between the objects will be quadrupled.

Answer 2

Automatically quadrupled.\[g=GM/R ^{2}\]