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A package of mass 7 kg sits at the equator of an airless asteroid of mass 4.0x10^20 kg and radius 6.9x10^5 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 225 m/s. We have a large and powerful spring whose stiffness is 1.8x10^5 N/m. How much must we compress the spring?

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