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Question: 

The masses of the Earth and Moon are $5.98 \times 10^{24} \textrm{ kg}$ and $7.35 \times 10^{22} \textrm{ kg}$, respectively, and their centers are separated by $3.84 \times 10^8 \textrm{ m}$.

  1. Where is the CM of the Earth–Moon system located?
  2. What can you say about the motion of the Earth–Moon system about the Sun, and of the Earth and Moon separately about the Sun?

Source: Giancoli, Douglas C., Physics: Principles with Applications, 7th Edition, 2014.

Quick Answer: 
  1. $4.7\times 10^6 \textrm{ m from the center of the Earth}$
  2. see video

Giancoli 7th Edition, Chapter 7, Problem 61

(2:32)

Chapter 7, Problem 61 is solved.

View sample solution