Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 3 - Vectors - Problems: 14a

Answer

$b_{x}=-80$ m

Work Step by Step

The individual moves are (meters understood as units) $\vec{a}=20\vec{i} + 60\vec{j},$ $\vec{b}=b_{x}\vec{i} - 70\vec{j},$ $\vec{c}=-20\vec{i} + c_{y}\vec{j},$ $\vec{d}=-60\vec{i} -70\vec{j},$ The resultant, $\vec{r}=\vec{a}+\vec{b}+\vec{c}=-140\vec{i}+30\vec{j}$ So, (with meters understood as units) $20+b_{x}-20-60=-140$ $b_{x}=-140-20+60+60=-80$ m
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