Question

If F=GMM/R^2. Find the dimension of G if R is the distance, F is the force and MM are the masses.

Answer 1

Let's find the dimension of the universal gravitational constant, $G$:

$$G=\dfrac{FR^2}{M^2},$$ $$G=\dfrac{[M\dfrac{L}{T^2}][L]^2}{[M]^2}=M^{-1}L^3T^{-2}.$$

Answer:

$G=M^{-1}L^3T^{-2}.$