SOLUTION: How would I solve this? The gravitational force between two objects varies inversely as the square of the distance between the objects. If a force of 25 pounds results from two
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Question 274594: How would I solve this? The gravitational force between two objects varies inversely as the square of the distance between the objects. If a force of 25 pounds results from two objects that are 6 miles apart, how much force results from two objects that are 15 miles apart? Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! The gravitational force between two objects varies inversely as the square of the distance between the objects. If a force of 25 pounds results from two objects that are 6 miles apart, how much force results from two objects that are 15 miles apart?
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F = k/r^2 (r is the distance)
25 = k/6^2
k = 900
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F = 900/15^2 = 900/225
F = 4 pounds
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It's not necessary to solve for k:
15 = 2.5*6
F = 25/(2.5^2) = 25/6.25 (inverse square)
F = 4 pounds
