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Acurate answers only please. Thank you :) Whenever two Apollo astronauts were on

ID: 2259183 • Letter: A

Question

Acurate answers only please. Thank you :)


Whenever two Apollo astronauts were on the surface of the Moon, a third astronaut orbited the Moon. Assume the orbit to be circular and 120 km above the surface of the Moon, where the acceleration due to gravity is 1.48 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 120 km above the surface of the Moon, where the acceleration due to gravity is 1.48 m/s2. The radius of the Moon is gravity is 1.48 m/s2. The radius of the Moon is 1.70 times 106 m. Determine the astronaut's orbital speed. Determine the period of the orbit.

Explanation / Answer

mv^2/r=mg

So

orbital speed=v=sqrt(gr)=sqrt(1.48*(120000+1700000))=1641.22m/s

t=2pi*r/v=6967.62 sec

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