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## Homework Statement

How much work must be done by a rocket engine to lift a 1000kg payload from rest on the earth's surface to a circular orbit of radius 2Re (2 times the radius of the earth)?

## Homework Equations

Eg = -GmM/r

Ek = GmM/2r

## The Attempt at a Solution

I know ΔE = W

I know that the energies are the following:

Initial E {0 + Eg} <-- assuming its at rest

Final E {0 + Eg} <-- when it has reached this distance.

However, I don't know how I am going to solve this out, or whether or not what I did was correct...