College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 6 - Problems - Page 233: 104

Answer

The tendon stretches a distance of 1.34 cm The tendon stores $31.4~J$ of elastic potential energy.

Work Step by Step

We can find the distance the tendon stretches: $kx = F$ $x = \frac{F}{k}$ $x = \frac{4.7~kN}{350~kN/m}$ $x = 0.0134~m = 1.34~cm$ The tendon stretches a distance of 1.34 cm We can find the elastic potential energy stored in the tendon: $U_s = \frac{1}{2}kx^2$ $U_s = \frac{1}{2}(3.50\times 10^5~N/m)(0.0134~m)^2$ $U_s = 31.4~J$ The tendon stores $31.4~J$ of elastic potential energy.
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