SOLUTION: The gravitational force, F, between an object and the Earth is inversely proportional to the square of the distance from the object to the center of the Earth. If an astronaut wei
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Question 1050635: The gravitational force, F, between an object and the Earth is inversely proportional to the square of the distance from the object to the center of the Earth. If an astronaut weighs 202 pounds on the surface of the Earth, what will this astronaut weigh 200 miles above the Earth? Assume that the radius of the Earth is 4000 miles.
Found 2 solutions by josmiceli, rothauserc:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
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The astronaut would weigh .212 pounds
Check my work
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
We use k, the constant of proportionality
:
202 = k / 4000^2
:
k = 202 * 4000^2
:
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weight 200 miles above the earth = (202 * 4000^2) / 4200^2 = 183.22 pounds
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