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14 November, 09:50

A certain metal wire has a cross sectional area of 1 mm2 and is 1 m long. when it is hung from the ceiling and a 10 kg mass is hung from the bottom of it, the wire stretches 1 mm. treat the wire as a single macroscopic spring. what is its effective spring constant?

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  1. 14 November, 12:29
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    From the Hooke's law, the extension force of an elastic material is directly proportional to the extension.

    That is, F = k e, where F is the force, k is the constant and e is the extension

    F = 10 * 10 = 100 N

    e = 1mm or 0.001 m

    Hence, k = F/e

    = 100 N / 0.001

    = 100000 N/m or 100 N/mm
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