# Apparent Weightlessness and artificial gravity: moon's motion around the earth

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The moon orbits the earth at a distance of 3.85 x 10^8 m. Assume that this distance is between the centers of the earth and the moon and that the mass of the earth is 5.98 x 10^24 kg. Find the period for the moon's motion around the earth. Express the answer in days and compare it to the length of a month.

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#### Solution Preview

Period of revolution of moon around the earth:

T = 2*pi*sqrt(r^3/G*M)

where,

r = distance between the Earth and the Moon (center ot center)

=> r = 3.85*10^8 m

G = ...

#### Solution Summary

With explanations and calculations, the problem is solved. The expert examines the apparent weightlessness and artificial gravity for the moon's motion around the earth.

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