Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 5 - Dynamics of Uniform Circular Motion - Problems - Page 141: 63

Answer

(i) Automobile A has constant acceleration. (ii) The equations of kinematics will apply for A. (iii) $v_A=25m/s$ and $v_B=18m/s$

Work Step by Step

(i) Automobile A has a constant acceleration. Its direction is always ahead and its magnitude always equals $3.5m/s^2$ Automobile B does not have a constant acceleration. Though its magnitude stays the same, its direction constantly changes as B negotiates the turn so that it always points toward the center of the rotation circle. (ii) Since automobile A has a constant $a$, the equations of kinematics will apply for A. (iii) Calculations: - Automobile A: initial speed $v_0=18m/s$ and $a=3.5m/s^2$. At $t=2$, its speed will be $$v=v_0+at=25m/s$$ - Automobile B: its speed stays constant, so at $t=2$, $v=18m/s$
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