The universal constant of gravitation G has the unit

According to Newton's law of gravitation, the force between two masses is given by $F = \dfrac{G m_1 m_2}{r^2}$.

Rearranging the formula for the universal gravitational constant $G$, we get $G = \dfrac{F r^2}{m_1 m_2}$.

Substituting the SI units for force (N$), distance (m$), and mass (kg$), the unit of$G$is \dfrac{N \cdot m^2}{kg \cdot kg} = N-m^2/kg^2$.

Answer: N-m^2$/kg^2$