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.

27.5 days

0.92 month

Explanation:

= radius of the orbit of moon around the earth =

= Mass of earth =

= Time period of moon's motion

According to Kepler's third law, Time period is related to radius of orbit as

inserting the values, we get

we know that

1 day = 24 hours = 24 x 3600 sec = 86400 s

1 month = 30 days

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