Solution: The magnitude of the gravitational force between two planets is given by F = G(m 1m2 / r2), where m1 and m2 are the masses of the two planets, r is the distance between them, and the force F has units of a mass times an acceleration. What are the SI units of G?

Problem

The magnitude of the gravitational force between two planets is given by F = G(m 1m2 / r2), where m1 and m2 are the masses of the two planets, r is the distance between them, and the force F has units of a mass times an acceleration. What are the SI units of G?