In this problem, you will calculate the location of the center of mass for the E

Question

In this problem, you will calculate the location of the center of mass for the Earth-Moon system, and then you will calculate the center of mass of the Earth-Moon-Sun system. The mass of the Moon is 7.35×1022 , the mass of the Earth is 6.00×1024 , and the mass of the sun is 2.00×1030 . The distance between the Moon and the Earth is 3.80×105 . The distance between the Earth and the Sun is 1.50×108 .

Calculate the location of the center of mass of the Earth-Moon system. Use a coordinate system in which the center of the Earth is at and the Moon is located in the positive x direction.

Explanation / Answer

Inetersting Question: (Where is your part B?) For earth-moon system: xcm =(mexe+mmrm)/(me+mm) = [0 +7.35×1022 (3.80×105)]/[7.35×1022+6.00×1024] = 4598.66km from the center of the earth. ˜ 4.60 x 103 km from the center of theearth. Inetersting Question: (Where is your part B?) For earth-moon system: xcm =(mexe+mmrm)/(me+mm) = [0 +7.35×1022 (3.80×105)]/[7.35×1022+6.00×1024] = 4598.66km from the center of the earth. ˜ 4.60 x 103 km from the center of theearth. Inetersting Question: (Where is your part B?) For earth-moon system: xcm =(mexe+mmrm)/(me+mm) = [0 +7.35×1022 (3.80×105)]/[7.35×1022+6.00×1024] = 4598.66km from the center of the earth. ˜ 4.60 x 103 km from the center of theearth.

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