SOLUTION: The gravitational force, F, between an object and the Earth is inversely proportional to the square of the distance from the object and the center of the Earth. If an astronaut wei

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Question 1149670: The gravitational force, F, between an object and the Earth is inversely proportional to the square of the distance from the object and the center of the Earth. If an astronaut weighs 196 pounds on the surface of the Earth, what will this astronaut weigh 4250 miles above the Earth? Assume that the radius of the Earth is 4000 miles. (Round off your answer to 1 decimal place.)
Answer by ikleyn(52800) About Me  (Show Source):
You can put this solution on YOUR website!
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Write the inverse proportion for the weights  and the squares of the disnances to the center of the Earth


    W%2F196 = %284000%2F%284000%2B4250%29%29%5E2


    W%2F196 = 0.2350


and get for the weight on the orbit


    W = 196*0.2350 = 46.06 pounds.    ANSWER

Solved.