(II) (a) What is the maximum tension possible in a

Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli

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Solution for problem 49P Chapter 9

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Problem 49P

(II) (a) What is the maximum tension possible in a 1.00-mm-diameter nylon tennis racket string? (b) If you want tighter strings, what do you do to prevent breakage: use thinner or thicker strings? Why? What causes strings to break when they are hit by the ball?

Step-by-Step Solution:

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Step 1 of 2

(a)

d=1mm=0.001m2 the diameter of the nylon string

r=d/2=1/2=0.5mm=0,5x10-3m=5x10-4m the radius of the string

compressive strength of the nylon= 500x106N/m2

Fmax=? maximum possible tension that the string can stand.

$\frac{{F}_{max}}{A}≥compressive\ strength$

$\frac{{F}_{max}}{π.{r}^{2}}≥compressive\ strength$

$\frac{{F}_{max}}{π.{(5x{10}^{-4})}^{2}}≥500x{10}^{6}$

${F}_{max}≥500x{10}^{6}\frac{N}{{m}^{2}}.π{(5x{10}^{-4})}^{2}{m}^{2}$

${F}_{max}≥393N$

Maximum force that the nylon string at that thickness can stand is 393N

Step 2 of 2

Chapter 9, Problem 49P is Solved

Textbook: Physics: Principles with Applications

Edition: 6

Author: Douglas C. Giancoli

ISBN: 9780130606204

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(II) (a) What is the maximum tension possible in a

Solution for problem 49P Chapter 9

Chapter 9, Problem 49P is Solved

Textbook: Physics: Principles with Applications

Edition: 6

Author: Douglas C. Giancoli

ISBN: 9780130606204

Other solutions

Discover and learn what students are asking

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