Answer:
SI unit of G, [tex]G=Nm^2/kg^2[/tex]
Explanation:
The SI unit of force is Newton and it is denoted as N. The SI unit of length is meter or m. Similarly, the SI unit of mass is kilogram or kg.
The force acting between two masses is given by :
[tex]F=G\dfrac{m_1m_2}{r^2}[/tex]
On rearranging,
[tex]G=\dfrac{Fr^2}{m_1m_2}[/tex]
Putting all the units in above formula :
[tex]G=\dfrac{Nm^2}{kg^2}[/tex]
So, the SI unit of G is :
[tex]G=Nm^2/kg^2[/tex]
