Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 6 - Work and Energy - Questions: 8

Answer

The speed at point C will be less than two times the speed at point B.

Work Step by Step

The pushing force is constant and the 2 displacements are the same. The same work is done by moving the block from A to B as by moving it from B to C. There is no friction, so this is the net work, and the same work results in the same change in kinetic energy. Therefore the KE at point C is exactly twice as great as it is at point B. However, kinetic energy depends on the square of the speed, so the speed at point C will be greater than the speed at point B by a factor of $\sqrt{2}$, not by a factor of 2.
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