University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 5 - Applying Newton's Laws - Problems - Exercises - Page 160: 5.3

Answer

(a) The minimum tension is 735 N The maximum tension is 990 N (b) The tension 3/4th of the way up the chain is 926 N

Work Step by Step

(a) Let $m_b$ be the mass of the ball. Let $m_c$ be the mass of the chain. The minimum tension in the chain is just above the wrecking ball. $T = (m_b)~g = (75.0~kg)(9.80~m/s^2) = 735~N$ The maximum tension in the chain is at the top of the chain. $T = (m_b+m_c)g = (75.0~kg+ 26.0~kg)(9.80~m/s^2) = 990~N$ (b) We can find the tension 3/4th of the way up the chain. $T = (m_b+0.75\times m_c)g = (75.0~kg+ 19.5~kg)(9.80~m/s^2) = 926~N$
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