Problem: A 6000 kg lunar lander is in orbit 20 km above the surface of the moon. It needs to move out to a 100 km high orbit in order to link up with the mother ship that will take the astronauts home.How much work must the thrusters do?

FREE Expert Solution

Work done:

W=E=Ef-E0

Gravitational energy, E:

E=-GmmR+h

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Problem Details

A 6000 kg lunar lander is in orbit 20 km above the surface of the moon. It needs to move out to a 100 km high orbit in order to link up with the mother ship that will take the astronauts home.

How much work must the thrusters do?