Essential University Physics: Volume 1 (4th Edition)

Published by Pearson
ISBN 10: 0-134-98855-8
ISBN 13: 978-0-13498-855-9

Chapter 6 - Exercises and Problems - Page 110: 42

Answer

$155\space N/m$

Work Step by Step

Here we use the equation $ W=\frac{1}{2}Kx^{2}$, Where W-work done by the cord, K- spring constant, x- stretched distance of the cord. $W=\frac{1}{2}Kx^{2}$ Let's plug known values into this equation. $15.4\space kJ=\frac{1}{2}K(26.3\space m-12.2\space m)^{2}$ $2\times 15.4\times1000\space J= 198.8\space m^{2}\space K$ $155\space N/m=K$ Spring constant = 155 N/m
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