Concept explainers
The ratio of the gravitational forces exerted by Earth and the Sun on the Moon.
Answer to Problem 46A
Explanation of Solution
Given:
The distance between Moon’s center and Earth’s center is
The distance between Moon’s center and Sun’s center is
The mass of the Moon is
Formula used:
Gravitational force:
Where,
Calculation:
The value of gravitational constant is:
The mass of the Sun is
The mass of the Earth is
Now, the gravitational force between the Moon and the Earth is,
And, the gravitational force between the Moon and the Sun is,
Then, the ratio of the two forces will be,
Using the given and the known values in above,
Conclusion:
Thus, the ratio of the gravitational forces exerted by Earth and the Sun on the Moon is
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