PLEASE HELP! Whenever two Apollo astronauts were on the surface of the Moon, a t

Question

PLEASE HELP!

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 1.70 times 106 m. Determine the astronaut's orbital speed. Determine the period of the orbit.

Explanation / Answer

g = G Mm / r^2 = v^2/r
Orbital Speed v^2 = g x r = 1.48 x (1.7 + 0.12) x 10^6
v = 1641.22m/s
T = 2 x pi x r / v
T = 2 x 3.14 x 1.82 x 10^6 / 1641.22
T = 6964secs = 116min approx

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