Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Textbook Question
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Chapter 9, Problem 46P

A steel wire 2.3 mm in diameter stretches by 0.030% when a mass is suspended from it. How large is the mass?

Expert Solution & Answer
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To determine

Mass of the steel wire.

Answer to Problem 46P

Solution: 25.4 kg

Explanation of Solution

Given:

Diameter of the wire, = 2.3 mm =2.× 103m

Elongation of wire, 0.030%×× 104mm =× 107m

Young’s modulus of the marble, 200 × 109N/m2

Formula Used:

  σε= E

Where, ε is the strain, E is modulus of elasticity

  σ =FA

Where, σ is the stress, F is the applied force, and A is the cross-sectional area.

Calculations:

  σε = Eσ = ε Eσ =0.00031×200×109σ = 60×106 N/m2

To find the mass

  σ = FAσ = m×gAm = σAgm = 60×106×π (2.3×1 0 -3 )2/49.8

  m=25.4 kg

Conclusion: Mass of the steel wire is 25.4 kg .

Chapter 9 Solutions

Physics: Principles with Applications

Ch. 9 - Prob. 11QCh. 9 - Why is it not possible to sit upright in a chair...Ch. 9 - Why is it more difficult to do sit-ups when your...Ch. 9 - Explain why touching your toes while you are...Ch. 9 - Prob. 15QCh. 9 - Name the type of equilibrium for each position of...Ch. 9 - ( 17. ) Is the Young's modulus for a bungee cord...Ch. 9 - Prob. 18QCh. 9 - Prob. 19QCh. 9 - Three forces are applied to a tree sapling, as...Ch. 9 - Prob. 2PCh. 9 - 3(I) A tower crane ( Fig. 9-48a) must always be...Ch. 9 - What is the mass of the diver in Fig. 9-49 if she...Ch. 9 - Prob. 5PCh. 9 - Figure 9-50 shows a pair of forceps used to hold a...Ch. 9 - Prob. 7PCh. 9 - The two trees in Fig. 9-51 are 6.6 m apart. A...Ch. 9 - Prob. 9PCh. 9 - Prob. 10PCh. 9 - Prob. 11PCh. 9 - Find the tension in the two cords shown in Fig....Ch. 9 - Prob. 13PCh. 9 - Prob. 14PCh. 9 - The force required to pull the cork out of the top...Ch. 9 - Prob. 16PCh. 9 - Three children are trying to balance on a seesaw,...Ch. 9 - A shop sign weighing 215 N hangs from the end of a...Ch. 9 - Prob. 19PCh. 9 - Prob. 20PCh. 9 - Prob. 21PCh. 9 - 22 (II) A 20.0-m-long uniform beam weighing 650 N...Ch. 9 - Prob. 23PCh. 9 - Prob. 24PCh. 9 - Prob. 25PCh. 9 - Prob. 26PCh. 9 - A uniform rod AB of length 5.0 m and mass M=3.S kg...Ch. 9 - You are on a pirate ship and being forced to walk...Ch. 9 - Prob. 29PCh. 9 - Prob. 30PCh. 9 - Prob. 31PCh. 9 - Prob. 32PCh. 9 - Prob. 33PCh. 9 - Prob. 34PCh. 9 - Prob. 35PCh. 9 - If 25 kg is the maximum mass m that a person can...Ch. 9 - Prob. 37PCh. 9 - Prob. 38PCh. 9 - Prob. 39PCh. 9 - A marble column of cross-sectional area 1.4 m2...Ch. 9 - Prob. 41PCh. 9 - A sign (mass 1700 kg) hangs from the bottom end of...Ch. 9 - Prob. 43PCh. 9 - Prob. 44PCh. 9 - Prob. 45PCh. 9 - A steel wire 2.3 mm in diameter stretches by...Ch. 9 - Prob. 47PCh. 9 - Prob. 48PCh. 9 - Prob. 49PCh. 9 - Prob. 50PCh. 9 - Prob. 51PCh. 9 - (a) What is the minimum cross-sectional area...Ch. 9 - Prob. 53PCh. 9 - Prob. 54PCh. 9 - Prob. 55PCh. 9 - Prob. 56PCh. 9 - Prob. 57GPCh. 9 - Prob. 58GPCh. 9 - Prob. 59GPCh. 9 - Prob. 60GPCh. 9 - Prob. 61GPCh. 9 - Prob. 62GPCh. 9 - Prob. 63GPCh. 9 - Prob. 64GPCh. 9 - Prob. 65GPCh. 9 - Prob. 66GPCh. 9 - Prob. 67GPCh. 9 - Prob. 68GPCh. 9 - Prob. 69GPCh. 9 - Prob. 70GPCh. 9 - Prob. 71GPCh. 9 - Prob. 72GPCh. 9 - Prob. 73GPCh. 9 - Prob. 74GPCh. 9 - Prob. 75GPCh. 9 - Prob. 76GPCh. 9 - Prob. 77GPCh. 9 - Prob. 78GPCh. 9 - Prob. 79GPCh. 9 - Prob. 80GP
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