Solution: Newton’s law of universal gravitation is represented by F = GMm/r 2 where F is the magnitude of the gravitational force exerted by one small object on another, M and m are the masses of the objects, and r is a distance. Force has the SI units kg • m/s2. What are the SI units of the proportionality constant G?

Newton’s law of universal gravitation is represented by F = GMm/r ^{2 }where F is the magnitude of the gravitational force exerted by one small object on another, M and m are the masses of the objects, and r is a distance. Force has the SI units kg • m/s^{2}. What are the SI units of the proportionality constant G?