Calculate the location xcm of the center of mass of the Earth-Moon system. Use a coordinate system in which the center of the Earth is at x

The center of mass of the Earth-Moon system is 4.673 kilometers away from center of Earth.

Explanation:

Let suppose that planet and satellite can be treated as particles. The masses of Earth and Moon (, ) are and , respectively. The distance between centers is 384,403 kilometers. The location of the center of mass can be found by using weighted averages:

If and , then:

The center of mass of the Earth-Moon system is 4.673 kilometers away from center of Earth.

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