Explanation:
The force between two bodies is given by :
[tex]F=G\dfrac{m_1m_2}{r^2}[/tex]
And this force is called the gravitational force
r is the distance between bodies
G is universal gravitational constant
[tex]G=\dfrac{Fr^2}{m_1m_2}[/tex]
SI unit of force is Newton or N
SI unit of r is meter or m
The SI unit of m₁ and m₂ is kg
[tex]G=\dfrac{\text{Nm}^2}{\text{kg}^2}\\\\G=Nm^2kg^{-2}[/tex]
Newton = kg m/s²
So,
[tex]G=\dfrac{kgm^3}{s^2kg^2}\\\\G=kg^{-1} m^3s^{-2}[/tex]
Hence, this is the required solution.
