Satellites and Binding Energy EX 9

The potential energy is

$U=-\frac{G{M}_E{m}_s}{r}=-\frac{(6.67\times 10^{-11})(6\times 10^{24})(500)}{9.6\times 10^6}=-2.08\times 10^{10}J$

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 $\left|E\right|$, or $K=1.04\times 10^{10}J$.