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6. Apollo 11, the first mission to land men on the moon, consisted of a space ship that split into two parts. One part, the lunar orbiter, contained one astronaut and orbited the moon at an altitude of 112 km. The other part, the lunar module, landed on the moon and contained two astronauts who walked on the moon. The top half of the lunar module, called the lunar ascent stage, (with a mass of 4700 kg) then took off from the moon to an orbit with an altitude of 112 km so it could rendezvous (reconnect) with the lunar orbiter. The mass of the moon is 7.34 x 1022 kg. The radius of the moon is 1.74 x 10 m. a) What is the energy required to get a mass of 4700 kg from rest on the surface of the moon to an orbit around the moon at an altitude of 112 km? b) What would be the launch speed from part a)? c) How many litres of rocket fuel would be needed for part a) if each litre has 3.2 x 106 J of energy