University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 6 - Work and Kinetic Energy - Problems - Discussion Questions - Page 194: Q6.20

Answer

At the beginning.

Work Step by Step

The power is constant, so the work done in a time t is Pt. This equals the change in kinetic energy. Assume the car starts from rest. $$Pt=\frac{1}{2}mv^2$$ $$v=\sqrt{\frac{2Pt}{m}}$$ Find the acceleration. $$a=\frac{dv}{dt}=\sqrt{\frac{2P}{m}}\frac{1}{2}t^{-1/2}$$ The acceleration is larger for small values of t.
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