Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 9 - Section 9.2 - The Dot Product - 9.2 Exercises - Page 647: 49

Answer

(a) $2822lb$ (b) $2779lb$

Work Step by Step

Use the figure given in the previous problem and imagine a different incline angle. (a) Assume the weight of the car is $W$, the force component along the incline by this weight is $Wsin\theta$. Given $\theta=10^{\circ}$ and a value of $490lb$ for this force, we have $Wsin10^{\circ}=490$ which gives $W\approx2822lb$ (b) The force $F$ the car exerts against the driveway equals to the other component of the weight normal to the surface and is given by $F=Wcos10^{\circ}\approx2779lb$
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