Physics

Problem

A satellite of mass

800\,\text{kg}

is to be transferred from a circular orbit of radius

7.0\times10^{6}\,\text{m}

to another circular orbit of radius

8.0\times10^{6}\,\text{m}

around the Earth. Taking

GM_E = 3.99\times10^{14}\,\text{m}^3\text{s}^{-2}

, determine the change in its total mechanical energy required for this shift.