1. The problem statement, all variables and given/known data A package of mass 8 kg sits at the equator of an airless asteroid of mass 5.8 105 kg and radius 32 m, which is spinning so that a point on the equator is moving with speed 4 m/s. 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 194 m/s. We have a large and powerful spring whose stiffness is 2.8 105 N/m. How much must we compress the spring?