Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 19 - Electric Charges, Forces, and Fields - Problems and Conceptual Exercises - Page 685: 37

Answer

(a) greater than (b) $3.09\times 10^6m/s $

Work Step by Step

(a) We know that $ v=e\sqrt{\frac{K}{mr}}$. This equation shows that the speed is directly proportional to the charge. Thus, when the charge is doubled then the speed will also be doubled. (b) As $ v=\sqrt{\frac{2K}{m_e r}}$ We plug in the known values to obtain: $ v=(1.6\times 10^{-19}C)\sqrt{\frac{2(8.99\times 10^9N.m^2/C^2)}{(9.11\times 10^{-31}Kg)(5.29\times 10^{-11}m)}}$ $ v=3.09\times 10^6m/s $
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