The nonrelativistic expression for the momentum of a particle,p = mv, can be used if v <<c. For what speed does the use of this formula give an error in the momentum of (a) 1.00% and (b) 10.0%? (a) Show that a potential difference of 1.02 × 106 V would be sufficient to give an electron a speed equal to twice the speed of light if Newtonian mechanics remained valid at high speeds. (b) What speed would an electron actually acquire in falling through a potential difference equal to 1.02 × 106 V?
The nonrelativistic expression for the momentum of a particle,p = mv, can be used if v <<c. For what speed does the use of this formula give an error in the momentum of (a) 1.00% and (b) 10.0%? (a) Show that a potential difference of 1.02 × 106 V would be sufficient to give an electron a speed equal to twice the speed of light if Newtonian mechanics remained valid at high speeds. (b) What speed would an electron actually acquire in falling through a potential difference equal to 1.02 × 106 V?
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter9: Relativity
Section: Chapter Questions
Problem 22P
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The nonrelativistic expression for the momentum of a particle,p = mv, can be used if v <<c. For what speed does the use of this formula give an error in the momentum of (a) 1.00% and (b) 10.0%?
(a) Show that a potential difference of 1.02 × 106 V would be sufficient to give an electron a speed equal to twice the
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