Question

The force of gravitation between two bodies varies with $r$ as:

Answer 1

Gravitational force: The force of attraction experienced by a body that has some mass by other massive body is known as gravitational force

1. Formula : $F=\frac{G{m}_1{m}_2}{r^2}$
2. where $G$ is the gravitational constant, $m_1$ and $m_2$ are the masses of the two bodies respectively, and $r$ is the distance between the two objects.
3. The universal gravitational constant has a value $6.674\times {10}^{-11}{m}^{3}k{g}^{-1}{s}^{-2}$ which is constant for each and every point in the universe regardless of the magnitude of the gravitational force experienced at that point.
4. ⇒ $F$is inversely proportional to $r^2$

Hence, the force of gravitation is inversely proportional to ${\mathrm{r}}^2$