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One scientist wants to put an 100kg experimental package in orbit around the Earth. The cost of deployment depends on the amount of more 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) Verify the amount of work that must be completed to get the package to 1 000km above the Earth’s surface.
b) Verify the amount of extra work required to put the package into a circular orbit at this height.
Using Gauss divergence theorem show that the volume of a sphere of radius 'r' is 4⁄3 πr 3 .
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