Answer
a) $\Delta U=7.4\times 10^{-11}J$
b) $\Delta U=9.4\times 10^{-11}J$
Work Step by Step
(a) We know that
$\Delta U=Gm^2(\frac{1}{r_1}-\frac{1}{r_2})$
We plug in the known values to obtain:
$\Delta U=6.67\times 10^{-11}(0.59)^2(\frac{1}{0.24}-\frac{1}{1.0})$
$\Delta U=7.4\times 10^{-11}J$
(b) We know that
$\Delta U=Gm^2(\frac{1}{r_1}-\frac{1}{r_2})$
We plug in the known values to obtain:
$\Delta U=6.67\times 10^{-11}(0.59)^2(\frac{1}{0.24}-\frac{1}{10.0})$
$\Delta U=9.4\times 10^{-11}J$
