SOLUTION: The weight of an object varies inversely with the square of the distance from earth's center (3,960 miles). A man weighs 250 lbs on the surface of the earth. How much would he weig

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Question 168932: The weight of an object varies inversely with the square of the distance from earth's center (3,960 miles). A man weighs 250 lbs on the surface of the earth. How much would he weigh in an airplane flying at 30,000 ft?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Given that weogh vaores with square of distance from center. Given 250 pounds at 3960 miles.
W+=+C%2F%28D%5E2%29 where W is weight, D is distance to center of earth in miles and C is some constant.
Let X be the weight in the airplane and Y be the distance from the center of the earth to the airplane.
Y+=+3960+%2B+30000%2F5280 Need to convert 30000 feet into miles. 5280feet in a mile.
Y+=+3965.68 miles
W%2AD%5E2+=+C
So
250%2A3960%5E2+=+X+%2A+3965.68%5E2
%28250%2A3960%5E2%29%2F%283965.68%5E2%29+=+X
You can crunch the numbers from here