Question

please help and explain each step. thank you.

1. The radius of the moon is 1737 km. Its mass 7.34 x 10 kg. On July 21, 1969, Neil Armstrong and Buzz Aldrin landed on the moon using a Lunar Module. The mass of the Apollo 11 Lunar Module ascent stage was about 5000 kg.u e 22 (a) Find the potential energy of the ascent stage of the Lunar Module only with respect to the VIGhoit M (visho moon. (b) Later, the astronauts used the ascent stage of the Lunar Module to rendezvous with the Command Module which was about 100 km from the lunar surface. Find the energy needed for the Lunar Module to make the trip from the surface to an orbit which 100 km from the surface of the moon (total r 1737 +100 1837 km). In this calculation, everything is with respect to the moon (earth and the sun do not enter the calculation). bri(d) (c) If the Command Module has a mass of 25,000 kg, find it's total energy in 100-km height orbit (r 1837 km) around the moon (ignore the Lunar Module, it was jettisoned after the astronauts transferred from it into the Command Module). (d) How much more energy is needed to for the Command module to break free of the lunar gravity and reach the earth (Imagine the earth is at an infinite distance).

Answer 1

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