Two satellites of earth $S_1$ and $S_2$ are moving in the same orbit. The mass of $S_1$ is four times the mass of $S_2$. Which one of the following statement is true ?

Potential energy of a satellite having mass $‘m’$ and rotating at a height of $6.4 \times {10^6}\,m$ from the earth surface is

The additional kinetic energy to be provided to a satellite of mass $m$ revolving around a planet of mass $M,$ to transfer it from a circular orbit of radius $R_1$ to another of radius $R_2\,(R_2 > R_1)$ is 

A particle of mass $10\, g$ is kept on the surface of a uniform sphere of mass $100 \,kg $ and radius $10\, cm$. Find the work to be done against the gravitational force between them to take the particle far away from the sphere $($you may take $G = 6.67 \times {10^{ – 11}}\,N{m^2}/k{g^2})$

A $400 \;kg$ satellite is in a circular orbit of radius $2 R_{E}$ about the Earth. How much energy is required to transfer it to a circular orbit of radius $4 R_{E} ?$ What are the changes in the kinetic and potential energles?