Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 8 - Potential Energy and Conservation of Energy - Problems - Page 204: 23a

Answer

$$v=4.85 \mathrm{m} / \mathrm{s}$$

Work Step by Step

As string extend its lowest point, its original potential energy $U=m g L$ (measured respective to the lowest point) is changed into kinetic energy. Thus, $$m g L=\frac{1}{2} m v^{2} \Rightarrow v=\sqrt{2 g L}$$ With $L=1.20 \mathrm{m}$ we obtain $$v=\sqrt{2 g L}=\sqrt{2\left(9.80 \mathrm{m} / \mathrm{s}^{2}\right)(1.20 \mathrm{m})}=4.85 \mathrm{m} / \mathrm{s}$$
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