Question

NAME THE FOLLOWING:

The SI unit of universal gravitational constant.

Answer 1

Gravitational force is directly proportional to the product of the mass of two objects and inversely proportional to the square of the distance between them.

The gravitational force in terms of the gravitational constant and masses of the bodies is,

$$\begin{gathered} F=\frac{G{M}_1{M}_2}{R^2} \\ G=\frac{F{R}^2}{M_1{M}_2} \end{gathered}$$

Thus, the units of gravitational force is,

$$\begin{gathered} UnitofG=\frac{N{m}^2}{k{g}^2} \\ UnitofG=N{m}^{2}k{g}^{-2} \end{gathered}$$

Hence, the SI unit of universal gravitational constant $N{m}^{2}k{g}^{-2}$.