Physics (10th Edition)

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

Chapter 10 - Simple Harmonic Motion and Elasticity - Problems - Page 275: 7

Answer

$m_2=1.4kg$

Work Step by Step

When the first block is hung, $$m_1g=F_x=kx_1$$ $$k=\frac{m_1g}{x_1}$$ When 2 blocks are hung, $$(m_1+m_2)g=F_x=kx_2$$ $$k=\frac{(m_1+m_2)g}{x_2}$$ Therefore, $$\frac{m_1g}{x_1}=\frac{(m_1+m_2)g}{x_2}$$ $$\frac{m_1+m_2}{m_1}=\frac{x_2}{x_1}=3$$ $$1+\frac{m_2}{m_1}=3$$ $$m_2=2m_1$$We know $m_1=0.7kg$, so $m_2=1.4kg$
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