Write the change in gravitational potential energy of a body lifted at height $h$ from the surface of earth ?

Obtain an expression of total energy of satellite revolving around the earth.

The masses and radii of the earth and moon are $\left({M}_{1}, {R}_{1}\right)$ and $\left({M}_{2}, {R}_{2}\right)$ respectively. Their centres are at a distance ' ${r}$ ' apart. Find the minimum escape velocity for a particle of mass ' ${m}$ ' to be projected from the middle of these two masses:

Two planets have masses $M$ and $16\, M$ and their radii are $a$ and $2\, a$ respectively. The separation between the centres of the planets is $10\, a.$ A body of mass $m$ is fired from the surface of the larger planet towards the smaller planet along the line joining their centres. For the body to be able to reach at the surface of smaller planet, the minimum firing speed needed is

If mass of earth is $M$, radius is $R$ and gravitational constant is $G$, then work done to take $1\, kg$ mass from earth surface to infinity will be