A package of mass 50 kg sits on an airless asteroid of mass 1.25x 10^13 kg and radius 1000 m. We want to launch the packagestraight up so that it reaches a maximum distance of 4000 m fromthe center of the asteroid, where it will be picked up by a waitingship before it can fall back down. We have a powerful spring whosestiffness is 1000 N/m. How much must we compress the spring torelease it with the energy needed to reach the requiredaltitude?
