Whenever two Apollo astronauts were on the surface of the Moon, a third astronau

Question

Whenever two Apollo astronauts were on the surface of the Moon, a third astronaut orbited the Moon. Assume the orbit to be circular and 760 km above the surface of the Moon, where the acceleration due to gravity is 0.811 m/s2. The radius of the Moon is

Whenever two Apollo astronauts were on the surface of the Moon, a third astronaut orbited the Moon. Assume the orbit to be circular and 760 km above the surface of the Moon, where the acceleration due to gravity is 0.811 m/s2. The radius of the Moon is 1.70 x 10^6 m

Explanation / Answer

v = sqrt(Gm/r)

v = sqrt(6.67 x 10*-11)(7.35 x 10*22) / (1.70 x 10*6 + .76 x 10*5)

v =14116 m/s

t = d/v = 2 Pi r / v = 2(3.14)(2.32 x 10*6) / 14116

t = 1032 sec = about 17.2hours

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