Fun Physics/Calculus Problem

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rohit_patel
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Neglecting air resistance and the weight of the propellant, determine the work done in propelling a 13-ton satellite to a height of 300miles above Earth and 550miles above earth.

Assume Earth has a radius of 4000miles.

Can someone please show me how to do this?
 
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What did you try so far?
 
Well, I'm not quite sure where to start!