**Problem Statement:**A piece of mohair taken from an Angora goat has a radius of \(3 \times 10^{-5}\) m. What is the least number of identical pieces of mohair needed to suspend a 79-kg person, so the strain experienced by each piece is less than 0.010? Assume that the tension is the same in all the pieces.**Solution Approach:**1. **Calculate the stress (σ)** on a single mohair fiber: \[ \sigma = \frac{F}{A} \] where \( F \) is the force exerted by the person's weight (mass \(\times\) gravity), and \( A \) is the cross-sectional area of the mohair fiber ( \( \pi r^2 \) ).2. **Determine the number of pieces (n) needed** such that the strain (ɛ) experienced by each is less than 0.010: \[ \epsilon = \frac{\sigma}{E} \] where \( E \) is Young's modulus of mohair.3. Reorganize the equation and solve for \( n \).**Key Assumptions:**- The tension is equally distributed among all pieces.- Young's modulus of mohair is provided or known from material properties.**Graph and Diagram Description:**- No graphs or diagrams present in this problem statement. This problem involves concepts of material science and strength of materials, particularly understanding mechanical stress, strain, and elasticity.

Strain experienced by each piece is , Mass of the person, Radius, Y= Youngs Modulus = 2.9*10^9Number…

A piece of mohair taken from an Angora goat has a radius of 31x10°° m. What is the least number of identical pieces of mohair needed to suspend a 79-kg person, so the strain experienced by each piece is less than 0.010? Assume that the tension is the same in all the pieces.

A piece of mohair taken from an Angora goat has a radius of 31x10°° m. What is the least number of identical pieces of mohair needed to suspend a 79-kg person, so the strain experienced by each piece is less than 0.010? Assume that the tension is the same in all the pieces.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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