1) what is the total amount of energy needed to place a 2000 kg satellite in circular Earth orbit, at an altitude of 5.0 x 10^2 km?
2)A space shuttle ejects a 1200 kg booster tank so that the tank is momentarily at rest at an altitude of 2000 km. Neglecting atmospheric effects, determine:
a) how much work is done on the booster by the force of gravity in returning it to the Earth's surface?
b) The velocity with which it strikes the surface of the Earth?
2) A space vehicle, launched as a lunar probe, arrives at the upper limit of the Earth's atmosphere. At this point, its kinetic energy is 5.0 x 10^9 J and its gravitational potential energy is -6.4 x 10^9 J. What is its binding energy?
not sure if this was said before, but that is not true. It is an approximation which works fine for small heights (like for instance throwing a bowling ball off of the leaning tower). however when you are using a large change in height (and therefor r) you will need to use the real definition.