A package of mass 10 kg sits at the equator of an airless asteroid of mass 2.0 1020 kg and radius 9.9 105 m.

A package of mass 10 kg sits at the equator of an airless asteroid of mass 2.0 1020 kg and radius 9.9 105 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 210 m/s. We have a large and powerful spring whose stiffness is 1.1 105 N/m. How much must we compress the spring?