Problem 12.50

Please show work.

Part A

How much gravitational potential energy must a 3140-kg satellite acquire in order to attain a geosynchronous orbit?

Express your answer to three significant figures and include appropriate units.

Part B

How much kinetic energy must it gain? Note that because of the rotation of the Earth on its axis, the satellite had a velocity of 458 m/s relative to the center of the Earth just before launch.

Express your answer to three significant figures and include appropriate units.