Whenever two Apollo astronauts were on the surface of the Moon, a third astronaut orbited the Moon. Assume the orbit to be circular and 575 km above the surface of the Moon, where the acceleration due to gravity is 0.949 m/s2. The radius of the Moon is 1.70 ✕ 106 m.
a) Determine the astronaut's orbital speed. (Answer in m/s)
b) Determine the period of the orbit. (Answer in s)
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