Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 10 - Simple Harmonic Motion and Elasticity - Check Your Understanding - Page 254: 3

Answer

$\text{Spring constant}$ ($k$) $=180N/m$

Work Step by Step

$\text{In simple harmonic motion, restoring force is given by:}$ $$F = -kx$$ $x\text{ is the displacement from mean position}$ $k\text{ is the spring constant}$ $\text{Here "-" sign denotes direction opposite to the displacement x}$ $\text{Also according to Newtons Second law:}$ $$F = ma$$ $\text{Comparing the magnitudes:}$ $$kx = ma$$ $$k = \frac{ma}{x} = \frac{0.42\times 9}{2.1\times 10^{-2}} = 180N/m$$
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