# Problem: Stress on a Mountaineer's Rope. A nylon rope used by mountaineers elongates 1.10 m under the weight of a 65.0-kg climber. If the rope is 45.0 m in length and 7.0 mm in diameter, what is Young's modulus for nylon?

###### FREE Expert Solution

A material's Young's modulus is given by:

$\overline{){\mathbf{Y}}{\mathbf{=}}\frac{\mathbf{F}{\mathbf{L}}_{\mathbf{0}}}{\mathbf{∆}\mathbf{L}\mathbf{A}}}$

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###### Problem Details

Stress on a Mountaineer's Rope. A nylon rope used by mountaineers elongates 1.10 m under the weight of a 65.0-kg climber. If the rope is 45.0 m in length and 7.0 mm in diameter, what is Young's modulus for nylon?