Answered: The Earth has mass Me and average…

The Earth has mass Me and average radius Re. The Moon has mass Mm and the average distance from the center of mass of the moon to the center of mass of the Earth is Dm

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Question

The Earth has mass Me and average radius Re. The Moon has mass Mm and the average distance from the center of mass of the moon to the center of mass of the Earth is Dm

using these constants:

Mass of the Earth: 5.97E24 kg

Mass of the moon: 7.35E22 kg

radius of the Earth: 6,371 km

Find an expression the moment of inertia of the Moon IM in its orbit about the Earth. Assume the diameter of the moon is very small relative to the Earth-Moon Distance

Calculate for the distance Ds in meters that the Moon would have to be from the earth so that the Moon's moment of inertia IM about the Earth is equal to the moment of inertia IE of the Earth on its axis

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