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 - Page 57: 19a

Answer

With $\hat{i}$ directed forward and $\hat{j}$ directed leftward, the resultant is $(5.00 \hat{\mathrm{i}}+2.00 \hat{\mathrm{j}}) \mathrm{m}$ The magnitude is given by the Pythagorean theorem: $$\sqrt{(5.00 \mathrm{m})^{2}+(2.00 \mathrm{m})^{2}}=5.385 \mathrm{m} \approx 5.39 \mathrm{m} $$

Work Step by Step

With $\hat{i}$ directed forward and $\hat{j}$ directed leftward, the resultant is $(5.00 \hat{\mathrm{i}}+2.00 \hat{\mathrm{j}}) \mathrm{m}$ The magnitude is given by the Pythagorean theorem: $$\sqrt{(5.00 \mathrm{m})^{2}+(2.00 \mathrm{m})^{2}}=5.385 \mathrm{m} \approx 5.39 \mathrm{m} $$
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