Newton's law of universal gravitation is represented by the following formula, where F is the gravitational force, M and m are masses, and r is a length. F=G (M m)/(r^2) Force has the SI units kg·m/s2. What are the SI units of the proportionality constant G? (Use the following as necessary: m, kg, and s.)

The answer to your question is  Nm²/ kg²

Explanation:

Solve the formula given for G

                              F = G

                              Fr² = GMm

                              G = Fr² / Mm

Substitute units of each variable to find the units of G

Units of F = N

units of r = m

units of M and m = kg

Simplify

                              G = N(m)² / (kg)(kg)

Result

G has a units of Force times square units of distance over square units of mass.

                              G = Nm² / kg²  or m²/kgs²

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