Question

The universal constant of gravitation G has the unit?

• A. N
• B. m/s
• C. Nm²/kg²
• D. J

Answer 1

The correct option is C

Nm²/kg²

The force of gravitation between two masses,

$$\begin{gathered} F=\frac{G{m}_1{m}_2}{r^2} \\ G=\frac{F{r}^2}{m_1{m}_2} \end{gathered}$$

Applying SI unit

$G=\frac{N{m}^2}{k{g}^2}$

Hence, the universal constant of gravitation G has the unit $\frac{N{m}^2}{k{g}^2}$.