Fundamentals of Physics Extended (10th Edition)

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

Chapter 28 - Magnetic Fields - Problems - Page 830: 21a

Answer

$v=2.05\times 10^7 \frac{m}{s}$

Work Step by Step

We know that $K.E=\frac{1}{2}mv^2$ We re-arrange this equation to solve for $v$: $v^2=\frac{2K.E}{m}$ Taking square root on both sides, we obtain $v=\sqrt{\frac{2K.E}{m}}$ We know that $1 eV=1.6\times 10^{-19}J$ Therefore, we plug in the know values to obtain: $v=\sqrt{\frac{2(1.20\times 10^3\times 1.6\times 10^{-19})}{9.109\times 10^{-31}}}$ $v=2.05\times 10^7 \frac{m}{s}$
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