Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 16 - Electric Charge and Electric Field - Problems - Page 469: 23

Answer

$1.33\times10^{14}\;m/s^2$

Work Step by Step

Assume that this is the only force acting on the electron. Use equation 16–3 to calculate the magnitude of the force, and apply Newton’s second law. $$\vec{E}=\frac{\vec{F}}{q}$$ $$\vec{F}=q\vec{E}=m\vec{a}$$ $$a=\frac{|q|}{m}E=\frac{(1.602\times10^{-19}C)}{9.11\times10^{-31}kg} (756\;N/C)$$ $$= 1.33\times10^{14}\;m/s^2$$ The electron is negatively charged, so the force acting on it is opposite to the field, and so is the acceleration.
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