Fun Physics/Calculus Problem

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To determine the work done in propelling a 13-ton satellite to heights of 300 miles and 550 miles above Earth, one must consider the gravitational force acting on the satellite at those altitudes. The gravitational force can be calculated using Newton's law of universal gravitation, factoring in the Earth's radius of 4000 miles. The work done is then the integral of the gravitational force over the distance traveled to each height. Calculating this requires setting up the appropriate equations and applying calculus principles. A clear understanding of gravitational forces and calculus integration is essential for solving this problem.
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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!
 
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