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Math Help - Inverse Variation

  1. #1
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    Inverse Variation

    The weight of an object varies inversely with square of distance from earth's center (3960 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?
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  2. #2
    Pur
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    Let W denote the weight of the man. Then from the relationship given in the problem with d denoting the distance from the core of earth gives :

    W \alpha \frac{1}{d^2}<br />
\Rightarrow 250 \cdot \frac{1}{\frac{3965.68}{3960}^2}=249.28<br />
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  3. #3
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    ok..............

    Quote Originally Posted by Pur View Post
    Let W denote the weight of the man. Then from the relationship given in the problem with d denoting the distance from the core of earth gives :

    W \alpha \frac{1}{d^2}<br />
\Rightarrow 250 \cdot \frac{1}{\frac{3965.68}{3960}^2}=249.28<br />
    What a nice job!
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