Asked by christian
The distance between twin satellites that were originally 150 meters apart are now 300 meters apart. Which best describes the gravitational force between the twin satellites?
The gravitational force increased to F.
The gravitational force decreased to F.
The gravitational force decreased by a factor of 2.
The gravitational force increased by a factor of 4.
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Answered by
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The force decreases by a factor of 4.
Using Newton's law of gravitation, F ∝ 1/r^2. Doubling the separation (150 → 300 m) gives F_new = F_old*(150/300)^2 = F_old*(1/2)^2 = F_old/4.
Using Newton's law of gravitation, F ∝ 1/r^2. Doubling the separation (150 → 300 m) gives F_new = F_old*(150/300)^2 = F_old*(1/2)^2 = F_old/4.
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