Gravitational potential energy at a distance of 700000000 km is
[tex]U_1=(-6.674\times10^{-11}\times4\times10^{22}\times5\times10)\frac{1}{700000000}[/tex][tex]U_1=-1.91\times10^{35}\text{ J}[/tex]
The gravitational potential energy at a distance of 600000000 km is
[tex]U_2=\frac{(-6.674\times10^{-11}\times4\times10^{22}\times5\times10)}{600000000}=-2.22\times10^{35}\text{ J}[/tex]
Therefore the difference in the energy is
[tex]\Delta U=U_1-U_2[/tex]
i.e.,
[tex]\Delta U=-1.91\times10^{35}-(-2.22\times10^{35})=0.31\times10^{35}\text{ J}[/tex]
Therefore the change in the gravitational potential energy is 0.31×10³⁵ J
