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A package of mass 8 kg sits at the equator of an airless asteroid of mass 7.0 1020 kg and radius 9.5 105 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 218 m/s. We have a large and powerful spring whose stiffness is 1.4 105 N/m. How much must we compress the spring?

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