94. The expression (1+x)" can be approximated as 1 + nx, provided |x|<1. Here, the exponent n does not have to be an integer. Use this approximation to show that Equation 20.11's expression for relativistic kinetic energy reduces to K=mv² for v < c.
94. The expression (1+x)" can be approximated as 1 + nx, provided |x|<1. Here, the exponent n does not have to be an integer. Use this approximation to show that Equation 20.11's expression for relativistic kinetic energy reduces to K=mv² for v < c.
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter11: Energy And Its Conservation
Section: Chapter Questions
Problem 35A
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![Do Problem 20-94.
(the exact kinetic energy is )
(the approximate kinetic energy is )](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F007d2f28-0b15-4cef-98f8-cbb273656312%2Fc9e900d8-894e-40c4-a5c2-33b6553625ed%2F7358ekm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Do Problem 20-94.
(the exact kinetic energy is )
(the approximate kinetic energy is )
![94. The expression (1+x)" can be approximated as 1 + nx, provided
|x|<1. Here, the exponent n does not have to be an integer. Use this
approximation to show that Equation 20.11's expression for relativistic
kinetic energy reduces to K=mv² for v < c.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F007d2f28-0b15-4cef-98f8-cbb273656312%2Fc9e900d8-894e-40c4-a5c2-33b6553625ed%2Fx9gsl07_processed.jpeg&w=3840&q=75)
Transcribed Image Text:94. The expression (1+x)" can be approximated as 1 + nx, provided
|x|<1. Here, the exponent n does not have to be an integer. Use this
approximation to show that Equation 20.11's expression for relativistic
kinetic energy reduces to K=mv² for v < c.
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