College Physics (4th Edition)

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

Chapter 19 - Problems - Page 752: 11

Answer

The magnetic force is $5.1 \times 10^{-13}~N$ and this force is directed to the north.

Work Step by Step

We can find the speed of the electron: $\frac{1}{2}mv^2 = K$ $v^2 = \frac{2K}{m}$ $v = \sqrt{\frac{2K}{m}}$ $v = \sqrt{\frac{(2)(7.2\times 10^{-18}~J)}{9.1\times 10^{-31}~kg}}$ $v = 3.98\times 10^6~m/s$ We can find the magnetic force: $F = q~v\times B$ $F = (-1.6\times 10^{-19}~C)(3.98\times 10^6~m/s)(0.800~T)$ $F = -5.1 \times 10^{-13}~N$ By the right hand rule, $v \times B$ would be directed south if the charge was positive. However, the negative charge results in a force directed to the north. The magnetic force is $5.1 \times 10^{-13}~N$ and this force is directed to the north.
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