How much work is done by a rocket engine in lifting a payload of 3191 kg into a circular orbit, a distance of 482 km above the Earth’s surface?

How much work is done by a rocket engine in lifting a payload of 3191 kg into a circular orbit, a distance of 482 km above the Earth’s surface? Assume the Earth is spherical with a mass of 5.972×1024 kg and a radius R= 6371 km and the rocket launches from rest. Express your answer in Joules.

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