Physics

Problem

A probe of mass

200\,\text{kg}

is to be launched from the surface of Mars. The mass of Mars is

6.4\times10^{23}\,\text{kg}

and its radius is

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

. Calculate the minimum speed (in

\text{m\,s}^{-1}

) that must be imparted to the probe so that it can permanently leave Mars.