A package of mass 3 kg sits on an airless asteroid of mass 7.7 × 1020 kg and radius 9.4 × 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 240 m/s. We have a large and powerful spring whose stiffness is 2.8 × 105 N/m. How much must we compress the spring?