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math

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the force of gravity varies inversely as the square of the distance between the centers of the two masses. If an object weighs 500 pounds at a distance of 12,000 miles from the center of the earth, at what distance will the weight be 50 pounds

  • math -

    mass = k/d^2
    when mass = 500, d = 12000
    500 = k/12000^2
    k = 500(12000)^2

    so
    50 = 500(12000)^2 /d^2

    50 d^2 = 500(12000)^2
    d^2 = 10(12000)^2
    d = 12000√10 miles

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