Question

si unit of gravitational constant g is ______. a $nm^{2}kg^{-1}$ b $nm^{2}kg^{-2}$ c $nm^{2}kg^{2}$ d $nm^{-2}kg^{-2}$

Explanation:

The gravitational force formula is $F = G\frac{m_1m_2}{r^2}$, where $F$ is force with SI - unit Newton ($N$), $m_1$ and $m_2$ are masses with SI - unit kilogram ($kg$), and $r$ is distance with SI - unit meter ($m$). Rearranging for $G$ gives $G=\frac{F r^2}{m_1m_2}$. Substituting the units: $F$ in $N$, $r$ in $m$ and $m$ in $kg$, we get $G$ in $N m^{2}kg^{-2}$.

Answer:

B. $N m^{2}kg^{-2}$