Newton's Law of Gravitation can be used to show that if an object weighs w pounds on the surface of the earth, then its weight at a distance x from the center of the earth is W(x) = wR? (for x > R), where R = 3960 miles is the radius of the earth. Estimate the altitude at which a 140-lb pilot would weigh 139.5 lb. (Use decimal notation. Give your answer to two decimal places.)

Question
Newton's Law of Gravitation can be used to show that if an object weighs w pounds on the surface of the earth, then its
weight at a distance x from the center of the earth is W(x) =
wR?
(for x > R), where R = 3960 miles is the radius of
the earth.
Estimate the altitude at which a 140-lb pilot would weigh 139.5 lb.
(Use decimal notation. Give your answer to two decimal places.)

Image Transcription

Newton's Law of Gravitation can be used to show that if an object weighs w pounds on the surface of the earth, then its weight at a distance x from the center of the earth is W(x) = wR? (for x > R), where R = 3960 miles is the radius of the earth. Estimate the altitude at which a 140-lb pilot would weigh 139.5 lb. (Use decimal notation. Give your answer to two decimal places.)

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