A moon of mass 'm' orbits a planet of mass 100 m. Let the strength of the gravitational force exerted by the planet on the moon be denoted by F1, and let the strength of the gravitational force exerted by the moon on the planet be F2. Which of the following is true?
Correct answer: E. F1 is equal to F2
- A. F1 is ten times greater than F2
- B. F1 is ten times smaller than F2
- C. F2 is ten times greater than F1
- D. F2 is ten times smaller than F1
- E. F1 is equal to F2
Explanation
The gravitational force between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between their centers. Since the mass of the planet is 100 times the mass of the moon, the strength of the gravitational force exerted by the planet on the moon will be much greater than the strength of the gravitational force exerted by the moon on the planet. However, the forces will still be equal in magnitude due to Newton's third law.
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