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Problem 15 Medium Difficulty

Cravitational Fields The Moon is $3.9 \times 10^{5} \mathrm{km}$ from Earth's center and $1.5 \times 10^{8} \mathrm{km}$ from the Sun's center. The masses of Earth and the Sun are $6.0 \times 10^{24} \mathrm{kg}$ and $2.0 \times 10^{30} \mathrm{kg},$ respectively.
a. Find the ratio of the gravitational fields due to Earth and the Sun at the center of the Moon.
b. When the Moon is in its third quarter phase, as shown in Figure $7-17$, its direction from Earth is at right angles to the Sun's direction. What is the net gravitational field due to the Sun and Earth at the center of the Moon? (FIGURE CAN'T COPY)

Answer

A. $2 \cdot 26$
B. $6 \cdot 4 \times 10^{-3} \mathrm{~N} / \mathrm{kg}$

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Video Transcript

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