Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 1 - Limits and Continuity - 1.1 Limits (An Intuitive Approach) - Exercises Set 1.1 - Page 61: 32

Answer

a. $m_0$ is the mass of the object with $v=0$ or at a speed of 0. b. The physical significance is that as the object approaches the speed of light by increasing its speed or from the left, its mass approaches $\infty$.

Work Step by Step

a. The function $m(v)$ is the mass of an object as a function of v. Therefore, $m_0$ is the mass of the object with $v=0$ or at a speed of 0. b. From Fig. Ex-32 given in the problem, $m$ approaches $\infty$ as $v$ approaches c from the left. Thus,$ \lim_{v \to c^-} m(v) = \infty$. The physical significance is that as the object approaches the speed of light by increasing its speed or from the left, its mass approaches $\infty$.
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