College Physics (4th Edition)

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

Chapter 4 - Multiple-Choice Questions - Page 147: 12

Answer

The correct answer is: (b) less than $m_2~g$

Work Step by Step

The correct answer is: (b) less than $m_2~g$ We can consider the motion of block $m_1$: $T = m_1~a$ $a = \frac{T}{m_1}$ We can consider the motion of block $m_2$: $m_2~g-T = m_2~a$ $m_2~g-T = m_2~(\frac{T}{m_1})$ $m_1~m_2~g-m_1~T = m_2~T$ $T = \frac{m_1~m_2~g}{m_1+m_2}$ $T = (\frac{m_1}{m_1+m_2})~m_2~g \lt m_2~g$
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