a) At what speed (in m/s) will a proton move in a circular path of the same radius as an electron that travels at 7.45 ✕ 106 m/s perpendicular to the Earth's magnetic field at an altitude where the field strength is 1.25 ✕ 10−5 T? b) What would the radius (in m) of the path be if the proton had the same speed as the electron? c) What would the radius (in m) be if the proton had the same kinetic energy as the electron? d) What would the radius (in m) be if the proton had the same momentum as the electron?

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Answered: a) At what speed (in m/s) will a proton…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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a) At what speed (in m/s) will a proton move in a circular path of the same radius as an electron that travels at 7.45 ✕ 10⁶ m/s perpendicular to the Earth's magnetic field at an altitude where the field strength is 1.25 ✕ 10⁻⁵ T? b) What would the radius (in m) of the path be if the proton had the same speed as the electron? c) What would the radius (in m) be if the proton had the same kinetic energy as the electron? d) What would the radius (in m) be if the proton had the same momentum as the electron?

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$text Speed of the electron: end text space v subscript e space equals space 7.45 space cross times 10 to the power of 6 space m divided by s text Magnetic field strength: end text space B space equals space 1.25 space cross times 10 to the power of negative 5 end exponent space T$

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