Question

SI unit of gravitational constant is

Answer 1

SI unit of gravitational constant

1. The gravitational force of attraction between any two objects is directly proportional to the product of masses and inversely proportional to the square of the distance between them.
2. The gravitational force of attraction is given by, $F=G\frac{m_1{m}_2}{r^2}$ where $G$ is the gravitational constant, $m_1$ and $m_2$ are the masses of the objects and $r$ is the distance between the objects.
3. So the gravitational constant is given by $G=\frac{F\times r^2}{m_1{m}_2}$
4. In the SI system, the unit of force is Newton and it is written as $N$; the unit of distance is the meter and it is represented by $m$; the unit of mass is kilogram and it is represented by $Kg$. Therefore, the SI unit of gravitational constant is given by $\frac{N{m}^2}{K{g}^2}$

Hence, the SI unit of gravitational constant is $\frac{N{m}^2}{K{g}^2}$.