A 5.00 x 102 kg communications satellite is to be placed into a circular geosynchronous orbit around the Earth.

a) What is the radius of the satellite's orbit?

b) What is the gravitational potential energy of the satellite when it is attached to its launch rocket, at rest on Earth's surface?

c) What is the total energy of the satellite when it is in geonsynchronous orbit?

d) How much work must the launch rocket do on the satellite to place it into orbit?

e) Once in orbit, how much additional energy would the satellite require to escape from Earth's potential well?