A scientist wants to put an 100kg experimental package in orbit around the Earth. The cost of deployment depends on the amount of extra energy it takes to get it into the required position i.e. how much more energy is used than just sending the rocket up there.
a) Determine the amount of work that must be done to get the package to 1 000km above the Earth’s surface.
b) Determine the amount of extra work needed to put the package into a circular orbit at this height.
The Attempt at a Solution
=(6.67 * 10-11 * 100 * ME)/(RE + 1000000)2
= 731 N
W= F*d = 730 * 1000000
= 7.31 *108