Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 3 - 3.5 - Mathematical Modeling and Variation - 3.5 Exercises - Page 296: 65

Answer

Mathematical model: $F=1833.33x$ If $x=0.16~m$: $F=293.33~N$

Work Step by Step

Applied force: $F$ Distance: $x$ $F=kx$ When $x=0.12~m$, $F=220~N$ $220=k(0.12)$ $k=\frac{220}{0.12}=1833.33~\frac{N}{m}$ Mathematical model: $F=1833.33x$ If $x=0.16~m$: $F=1833.33\times0.16=293.33~N$
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