Asked by Nancy
Whenever two Apollo astronauts were on the surface of the Moon, a third astronaut orbited the Moon. Assume the orbit to be circular and 400 km above the surface of the Moon. At this altitude, the free-fall acceleration is 1.11 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.
(a) Determine the astronaut's orbital speed. (b) Determine the period of the orbit.
Answers
Answered by
drwls
V^2/R = a = 1.11 m/s^2
For R, use the distance from the center of the Moon, 1.70*10^6 m + 4*10^5 m.
Solve for V
For the period P, solve
V*P = 2 pi R, the orbit circumference
For R, use the distance from the center of the Moon, 1.70*10^6 m + 4*10^5 m.
Solve for V
For the period P, solve
V*P = 2 pi R, the orbit circumference
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