Answer
$\ \Delta U=-4.94\times 10^8J$
Work Step by Step
We can find the difference in potential energy as
$\Delta U=U_{}-U_{}$
$\Delta U=-G\frac{M_Em}{r_p}-(-G\frac{M_E m}{r_a})$
$\Delta U=GM_Em(\frac{1}{r_a}-\frac{1}{r_p})$
We plug in the known values to obtain:
$\Delta U=(6.67\times 10^{-11})(5.97\times 10^{24})(83.5)(\frac{1}{7330\times 10^3}-\frac{1}{6610\times 10^3})$
$\implies \Delta U=-4.94\times 10^8J$
