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13 April, 00:13

A force of 2N will stretch a rubber band 0.02m. Assuming that Hooke's Law applies, answer the following: How far will a 1600N force stretch the rubber band? How much work does it take to stretch the rubber band this far?

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  1. 13 April, 00:18
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    Hooke's Law states that the extension is directly proportional to the force applied so:

    F/x = constant

    F₁/x₁ = F₂/x₂

    2 / 0.02 = 1600 / x₂

    x₂ = 16 m

    Elastic work = 1/2 Fx

    = 1/2 * 1600 * 16

    = 12.8 kJ
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