# Appendix E mat 117

Feb 3rd, 2012
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Appendix E mat 117 Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on Earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: , where C is a constant, and r is the distance that the object is from the center of Earth. Solve the equation for r. w=C/r^2 r^2=C/w r can only be a positive value because it represent the distance between object and Earth: r=√(C/w) Suppose that an object is 50 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the Earth.) We are given r=3963 and w=50. So we solve the equation for C using this information: r^2=C/w C=wr2 C=50×39632 C=785268450

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