State the formula for acceleration due to gravity at depth ‘d’ and altitude ‘h’ Hence show that their ratio is equal to $\left(\frac{R-d}{R-2h}\right)$ by assuming that the altitude.

Calculate the kinetic energy, potential energy,total energy and binding energy of an artificial satellite of mass 2000kg orbiting at a height of mass 3600 km above the surface of the earth .

Given,  

         $$\begin{gathered} G =6.67\times {10}^{-11}N{m}^2/k{g}^2 \\ R =6400km \\ M =6\times {10}^{24}kg \end{gathered}$$