University Physics with Modern Physics (14th Edition)

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

Chapter 1 - Units, Physical Quantities, and Vectors - Problems - Exercises - Page 29: 1.37

Answer

$\vec{A}=0\hat{i}-8.00m\hat{j}$ $\vec{B}=7.50m \hat{i}+13.0m \hat{j}$ $\vec{C}=-10.9m \hat{i}-5.07m \hat{j}$ $\vec{D}=-7.99m\hat{i}+6.02m\hat{j}$

Work Step by Step

The general expression for a vector is given in equation 1.14. Use $ V_x=Vcos\theta, V_y=Vsin\theta $. The angles are 270, 60, 205, and 143 degrees, respectively, and the magnitudes are in the diagram. $A_x=0, A_y=-8.00m, B_x=7.50m, B_y=13.0m, C_x=-10.9m, C_y=-5.07m, D_x=-7.99m, D_y=6.02m$.
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