Question

SI unit of G in Newton's law of Gravitation is :

• A. $N^2{m}^2/kg$
• B. $N{m}^2/kg$
• C. $Nm/kg$
• D. $N{m}^2/k{g}^2$

Answer 1

The correct option is D $N{m}^2/k{g}^2$

According to the law of universal gravitation, the attractive force (F) between two bodies is directly proportional to the product of their masses $m_1$ and $m_2$, and inversely proportional to the square of the distance, r, between them:

$F=\frac{G{m}_1\times m_2}{r^2}$

$G=\frac{F{r}^2}{m_1{m}_2}$

SI unit of $G$ is $N{m}^{2}k{g}^{-2}$