Fundamentals of Physics Extended (10th Edition)

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

Chapter 22 - Electric Fields - Questions - Page 652: 14

Answer

We can rank the protons according to the magnitude of their accelerations due to the field, as follows: $a = b = c = d = e$

Work Step by Step

We can write the equation for the force on a charge due to an electric field: $F = q~E$ Note that the force does not depend on a particle's velocity. We can find an expression for the magnitude of the acceleration of a particle in a uniform electric field: $F = ma$ $q~E = ma$ $a = \frac{q~E}{m}$ The magnitude of the acceleration is the same for all the protons in the electric field since the electric field is uniform, and the protons all have the same charge and mass. We can rank the protons according to the magnitude of their accelerations due to the field, as follows: $a = b = c = d = e$
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