Calculate the work that is done **in Joules** in launching a satellite of mass 1000 kg into an orbit above the Earth, at an elevation equal to the radius of the Earth?

**Details and Assumptions**

- Earthâ€™s mass = \(6\times 10^{24}\) kg
- Earthâ€™s radius = \(6.4 \times 10^6\) m
- You may assume that all the work applied to the satellite is transformed into potential energy.

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