University Physics with Modern Physics (14th Edition)

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

Chapter 4 - Newton's Laws of Motion - Problems - Exercises - Page 124: 4.7

Answer

The friction exerts a force of 46.7 N on the skater.

Work Step by Step

We can find the rate of deceleration. $a = \frac{v-v_0}{t} = \frac{0-2.40~m/s}{3.52~s}$ $a = -0.682~m/s^2$ The magnitude of acceleration is $a = 0.682~m/s^2$. $F_f = ma = (68.5~kg)(0.682~m/s^2)$ $F_f = 46.7~N$ The friction exerts a force of 46.7 N on the skater.
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