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Whenever two Apollo astronauts were on the surface of the Moon, a third astronaut orbited the...

Whenever two Apollo astronauts were on the surface of the Moon, a third astronaut orbited the Moon. Assume the orbit to be circular and 443 km above the surface of the Moon, where the acceleration due to gravity is 1.07 m/s2. The radius of the Moon is 1.70 ✕ 106 m.

(a) Determine the astronaut's orbital speed.

(b) Determine the period of the orbit.

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