University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 11 - Section 11.3 - The Dot Product - Exercises - Page 617: 42

Answer

$3.643\times 10^{11}\ J$

Work Step by Step

If a constant force ${\bf F}$ acts through a displacement ${\bf D}=\vec{PQ}$ the work done is ${\bf W}={\bf F}\cdot{\bf D}$ --- Placing San Francisco at the origin, and Los Angeles on the positive x-axis, we have ${\bf D}$=$\langle 605000\ m,\ 0\ m\rangle \quad {\bf F}=\langle 602148\ N,\ 0\ N\rangle$ ${\bf W}=(602148\ N)(605000\ m)=3.643\times 10^{11}\ Nm$ $=3.643\times 10^{11}\ J$
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