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15 September, 18:57

The length that a hanging spring stretches varies directly with the weight placed at the end of the spring. If a weight of 11lb stretches a certain spring 7in., how far will the spring stretch if the weight is increased to 44lb?

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  1. 15 September, 20:51
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    28 inches

    Explanation:

    Force is directly proportional to the stretched length

    F ∝ d

    11 ∝ 7 ... (1)

    Let it is stretched by r

    44 ∝ r ... (2)

    Divide equation (2) by equation (1), we get

    44 / 11 = r / 7

    4 x 7 = r

    r = 28 inches
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