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If 1% of the Earth’s mass were transferred to the Moon, how far would the center...

If 1% of the Earth’s mass were transferred to the Moon, how far would the center of mass of the Earth-Moon-population system move?
The mass of the Earth is 5.97×1024 kg and that of the Moon is 7.34×1022 kg.
The radius of the Moon’s orbit is about 3.84×105m.

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