Physics - Gravitation Question with Solution | TestHub

The energy required to remove the satellite from its orbit around the earth to infinity is called binding energy of the satellite. It is equal to negative of total mechanical energy of a satellite in its orbit.
Thus,
The binding energy of the Earth-satellite system,

$\text{E}=\frac{-\text{GMm}}{2\text{r}}$

using,$\text{g}=\frac{\text{GM}}{{\text{R}}^2}$

$\Rightarrow \text{GM}={\text{gR}}^2$

$\therefore \mathrm{BE}=\frac{\mathrm{g}\mathrm{m}{\mathrm{R}}^2}{2\mathrm{r}}$