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17 March, 12:26

Two stretched cables both experience the same stress. the first cable has a radius of 3.3x10-3 m, and is subject to a stretching force of 290 n. the radius of the second cable is 5.5x10-3 m. determine the stretching force on the second cable.

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  1. 17 March, 12:28
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    Stress is the force per unit area or pressure. Let's find the stress for the first cable.

    S = F/A = 290 N / [π * (3.3*10⁻³ m) ²] = 8476571.808 Pa

    We equate this to that of the second cable.

    8476571.808 Pa = F/[π * (5.5*10⁻³ m) ²]

    Solving for F,

    F = 805.56 N
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