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: 4.6

Answer

(a) $a = 2.50\times 10^{14}~m/s^2$ (b) $t = 1.20\times 10^{-8}~s$ (c) $F_{net} = 2.28\times 10^{-16}~N$

Work Step by Step

(a) $a = \frac{v^2-v_0^2}{2x}$ $a = \frac{(3.00\times 10^6~m/s)^2-0}{(2)(0.0180~m)}$ $a = 2.50\times 10^{14}~m/s^2$ (b) $t = \frac{v-v_0}{a} = \frac{(3.00\times 10^6~m/s)-0}{2.50\times 10^{14}~m/s^2}$ $t = 1.20\times 10^{-8}~s$ (c) $F_{net} = ma$ $F_{net} = (9.11\times 10^{-31}~kg)(2.50\times 10^{14}~m/s^2)$ $F_{net} = 2.28\times 10^{-16}~N$
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