A body is projected into space from the earth's surface with escape velocity. At the time of project

Question

A body is projected into space from the earth's surface with escape velocity. At the time of projection its total energy will be\

Professor PC Thomas Classes · Answer

For a body to escape the KE to be given to it\ $=$ the PE on the surface ie the KE\ $=\mathrm{PE}$ numerically $\frac{1}{2} \mathrm{mv}_{\mathrm{e}}^{2}=\frac{\mathrm{GMm}}{\mathrm{r}}$\But Total Energy is zero.