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5 January, 03:38

A metal bar is elongated by 2mm when put under a certain amount of tension. How much will it be elongated if the tension is doubled?

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  1. 5 January, 04:04
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    Answer: 4mm

    Explanation: From Hooke's law.

    Tensile force is directly proportional to the elongation

    That's

    F = k e , where k is constant

    F/e = k

    F1/e1 = F2/e2

    Where e1 = 2mm

    F2 = 2F1 (doubled)

    F1/2 = 2F1/e2

    1/2 = 2/e2

    e2 = 4mm

    Therefore when tension is doubled, the metal bar will be elongated by 4mm
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