Essential University Physics: Volume 1 (4th Edition) Clone

Published by Pearson
ISBN 10: 0-134-98855-8
ISBN 13: 978-0-13498-855-9

Chapter 9 - Exercises and Problems - Page 172: 57

Answer

$\vec{v}=4.4\hat{i}+3.0\hat{j}$

Work Step by Step

We know that momentum is conserved. We assume the astronaut is initially at rest. We first find the final speed of the astronaut: $\vec{v}=-.85cos(20)\hat{i}-.85sin(20)\hat{j}$ $\vec{v}=-.8\hat{i}-.29\hat{j}$ Thus, we use conservation of momentum: $(5.8)v_3 +(-.8\hat{i}-.29\hat{j})(60)+1.6(14)\hat{i}=0$ $\vec{v}=4.4\hat{i}+3.0\hat{j}$
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