Calculus 2 / Physics Problem! Work required to launch satellite into orbit!?

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Find the work required to launch a 1000-kg satellite vertically into orbit 1000 km high. You may assume that the earth's mass is 5000 x 10^24 kg and is concentrated at its center. The radius of the earth is 6.37x10^6 m and the gravitational constant is 6.67 x 10^-11 N*m^2/kg^2.

(hint: convert the distances to meters first)

Show all steps clearly and detailed!
 
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