Saturday, November 12, 2011

How much must we compress the spring?

A package of m 9 kg sits at the equator of an airless asteroid of m 3.0x10^20 kg and radius 2.1x 10^5 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 179 m/s. We have a large and powerful spring whose stiffness is 2.3x10^5 N/m. How much must we compress the spring?

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