Fundamentals of Physics Extended (10th Edition)

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

Chapter 34 - Images - Problems - Page 1038: 15b



Work Step by Step

"The distance between the focal point and the mirror" is defined as the focal length. Since the mirror is convex, the value of the focal length is negative. Therefore, the focal length is $8.0cm$. To find the image distance, use the formula $$\frac{1}{f}=\frac{1}{p}+\frac{1}{i}$$ Solving for $i$ yields $$\frac{p}{pf}-\frac{f}{pf}=\frac{1}{i}$$ $$\frac{p-f}{pf}=\frac{1}{i}$$ $$i=\frac{pf}{p-f}$$ Substituting values of $f=-8.0cm$ and $p=+10cm$ yields $$i=\frac{(10cm)(-8.0cm)}{10cm+8cm}=-4.4cm$$
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