Question

What is the SI unit of gravitational constant?
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Answer 1

Step-by-step explanation:

The force between two bodies is given by :

`F=G(m_1m_2)/(r^2)`

And this force is called the gravitational force

r is the distance between bodies

G is universal gravitational constant

`G=(Fr^2)/(m_1m_2)`

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

`G=\frac{\text{Nm}^2}{\text{kg}^2}\\\\G=Nm^2kg^(-2)`

Newton = kg m/s²

So,

`G=(kgm^3)/(s^2kg^2)\\\\G=kg^(-1) m^3s^(-2)`

Hence, this is the required solution.