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) = "* (for x > R), where R = 3960 miles is the radius of wR? x2 the earth. Estimate the weight loss per mile of altitude gained for a 205-lb pilot at an altitude of h. (Use decimal notation. Give your answer to five decimal places.)
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) = "* (for x > R), where R = 3960 miles is the radius of wR? x2 the earth. Estimate the weight loss per mile of altitude gained for a 205-lb pilot at an altitude of h. (Use decimal notation. Give your answer to five decimal places.)
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text: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 \( W(x) = \frac{wR^2}{x^2} \) (for \( x \geq R \)), where \( R = 3960 \) miles is the radius of the earth.
Estimate the weight loss per mile of altitude gained for a 205-lb pilot at an altitude of \( h \).
(Use decimal notation. Give your answer to five decimal places.)
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