Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 5 - Newton's Laws of Motion - Problems and Conceptual Exercises - Page 140: 9

Answer

(a) $85~N$ (b) Increased.

Work Step by Step

(a) $1~mi=1609~m$, $1~h=3600~s$ $\Delta x=1.7~m$, $v_0=0$, $m=0.15~kg$ $v=98~mi/h=(98~mi/h)(\frac{1609~m}{1~mi})(\frac{1h}{3600~s})=43.8~m/s$ $v^2=v_0^2+2a\Delta x$ $(43.8~m/s)^2=0^2+2a(1.7~m)$ $a=\frac{(43.8~m/s)^2}{3.4~m}=564~m/s^2$ $F=ma=(0.15~kg)(564~m/s^2)=85~N$ (b) From the equation above, if the mass is increased the force required is increased as well.
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