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You have a powerful spring whose stiffness is 2 X 10^5 N/m with a relaxed length...

You have a powerful spring whose stiffness is 2 X 10^5 N/m with a relaxed length of 50cm, which you want to use to launch a package of mass 1kg. If you compress the spring to 30cm

a)what will the speed of the package be when it is released at the moment when the length of the spring is back to its uncompressed length?

b)Imagine you are doing this on a comet of mass 3 X 10^18 kg and radius 7X10^5 m, you indent to launch the package in such a way that it well never come back. Is the speed you calculated in part (a) enough?

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