A package of mass 5 kg sits at the equator of an airless asteroid of mass 5.0 1020 kg and radius 7.1 105 m.

A package of mass 5 kg sits at the equator of an airless asteroid of mass 5.0 1020 kg and radius 7.1 105 m. We want to launch the package in such a way that it will never come back, and when it is very far from the asteroid it will be traveling with speed 244 m/s. We have a large and powerful spring whose stiffness is 2.1 105 N/m. How much must we compress the spring?