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# 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

https://brainmass.com/physics/work/working-center-mass-earth-moon-system-15779

#### Solution Preview

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 ...

#### Solution Summary

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

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