   Chapter 1.5, Problem 20E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# In the theory of relativity, the mass of a particle with speed υ is m = f ( υ ) = m 0 1 − υ 2 / c 2 where m0 is the rest mass of the particle and c is the speed of light in a vacuum. Find the inverse function of f and explain its meaning.

To determine

To find: The inverse of a function m=f(v)=m01v2c2 and interpret the meaning.

Explanation

Let the given function is m=m01v2c2 .

Solve this equation for v as follows.

1v2c2=m0m1v2c2=m02m2[squaring on both sides]v2c2=1m<

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Study Guide for Stewart's Multivariable Calculus, 8th 