# Working with the center of mass of the Earth-Moon system

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I've tried this one 3 times, and couldn't get the correct answer no matter what I tried, help!

(a) How far is the center of mass of the Earth-Moon system from the center of the Earth? (Appendix C gives the masses of the Earth and the Moon and the distance between the two.)

(b) Express the answer to (a) as a fraction of the Earth's radius.(Rcm/Rearth)

Given:

Distance from moon to earth: 3.82E8m

Mass of Earth: 5.98E24

Mass of Moon: 7.36E22

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Answer with all mathematical steps and explanations. Esay to follow.

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Mass of Earth is 5.98 x 10^24 kg

<br>Mass of Moon is 7.36 x 10^22 kg

<br>Orbital radius of the Moon is 3.84 x 10^5 km

<br>

<br>For the center of mass we have the equation, Ro ...

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