Satellites and Binding Energy EX 9

The potential energy is

$U=-{GM_{E}m_{s} \over r}=-{(6.67\times 10^{-11})(6\times 10^{24})(500) \over 9.6\times 10^{6}}=-2.08\times 10^{10}J$

The total energy is equal to one half of this value, or $E=-1.04\times 10^{10}J$ and the kinetic energy is equal to $\left\vert E\right\vert$, or $K=1.04\times 10^{10}J$.