Chapter 12: Q. 5 (page 330)

How far from the center of the earth is the center of mass of the earth +moon system? Data for the earth and moon can be found inside the back cover of the book.
The center of mass of the Earth-Moon system from the center of the Earth is $4.67 \times 10^{6} m$ .

Short Answer

Expert verified

The center of mass of the Earth-Moon system from the center of the Earth is $4.67 \times 10^{6} m$

Step by step solution

Step 1. Given information

Distance between earth and moon: $384, 400 km$ .

Earth's mass: $M = 5.972 \times 10^{24} kg$

Moon's mass: $m = 7.349 \times 10^{22} kg$

Step 2. Explanation

In a two dimensional co-ordinate system, Assume the center of mass of the Earth is at origin, and the Moon on the x- axis

The center of mass the Earth-Moon system.

$\begin{array}{l} x_{cm} = \frac{(5.98 \times 10^{24} kg) (0 m) + (7.36 \times 10^{22} kg) (3.84 \times 10^{8} m)}{5.98 \times 10^{24} kg + 7.36 \times 10^{22} kg} \\ x_{cm} = 4.668 \times 10^{6} m \end{array}$

Therefore, the center of mass of the Earth-Moon system from the center of the Earth is .

$4.67 \times 10^{6} m$

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How far from the center of the earth is the center of mass of the earth +moon system? Data for the earth and moon can be found inside the back cover of the book.
The center of mass of the Earth-Moon system from the center of the Earth is $4.67 \times 10^{6} m$ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

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How far from the center of the earth is the center of mass of the earth +moon system? Data for the earth and moon can be found inside the back cover of the book.The center of mass of the Earth-Moon system from the center of the Earth is 4.67×106m.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Physical Quantities And Units

Medical Physics

Magnetism

Nuclear Physics

Electric Charge Field and Potential

Torque and Rotational Motion

Study anywhere. Anytime. Across all devices.

How far from the center of the earth is the center of mass of the earth +moon system? Data for the earth and moon can be found inside the back cover of the book.
The center of mass of the Earth-Moon system from the center of the Earth is $4.67 \times 10^{6} m$ .