# The moon orbits the earth at a distance of 3.85x10^8 m.  The moon orbits the earth at a distance of 3.85x10^8 m. Assume that this distance is between the centers of the earth and the moon and that...

The moon orbits the earth at a distance of 3.85x10^8 m.

The moon orbits the earth at a distance of 3.85x10^8 m. Assume that this distance is between the centers of the earth and the moon and that the mass of the earth is 5.98x10^24 kg. Find the period for the moon's motion around the earth. Express the answer in days and compare it to the lenght of a month.

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The moon is rotating around earth. So in the moon there is a centrifugal force acting towards earth.

`F = mv^2/r`

m = mass of moon

r = distance between moon and earth

v = velocity of moon

Earth exerts a gravitational force on earth as given by Newtons low of gravity.

`F = G(Mm)/r^2`

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