•P41 An electron (mass 9 × 10¬31 kg) is traveling at a speed of 0.91c in an electron accelerator. An electric force of 1.6 × 10¬13 N is applied in the direction of motion while the electron travels a distance of 2 m. You need to find the new speed of the electron. Which of the following steps must be included in your solution to this problem? (a) Calculate the initial particle energy Yimc? of the electron. (b) Calculate the final particle energy yfmc² of the electron. (c) Determine how much time it takes to move this distance. (d) Use the expression mu to find the kinetic energy of the electron. (e) Calculate the net work done on the electron. (f) Use the final energy of the electron to find its final speed. What is the new speed of the electron as a fraction of c?

•P41 An electron (mass 9 × 10¬31 kg) is traveling at a speed of 0.91c in an electron accelerator. An electric force of 1.6 × 10¬13 N is applied in the direction of motion while the electron travels a distance of 2 m. You need to find the new speed of the electron. Which of the following steps must be included in your solution to this problem? (a) Calculate the initial particle energy Yimc? of the electron. (b) Calculate the final particle energy yfmc² of the electron. (c) Determine how much time it takes to move this distance. (d) Use the expression mu to find the kinetic energy of the electron. (e) Calculate the net work done on the electron. (f) Use the final energy of the electron to find its final speed. What is the new speed of the electron as a fraction of c?

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter14: Special Theory Of Relativity

Section: Chapter Questions

Problem 14.39P

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