Fundamentals of Physics Extended (10th Edition)

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

Chapter 6 - Force and Motion-II - Problems - Page 141: 16a

Answer

$$F\approx16.1 N$$

Work Step by Step

A penguin sled without any additional force moves down, so friction force will parallel to the plane and up. $$\sum F_{y}=F_N-mgcos(\theta)\\ F_N=mgcos(\theta)\\ \sum F_{x}=F+f_k-mgsin(\theta)\\ \sum F_{x}=F+mgcos(\theta)\mu_k-mgsin(\theta)=0\\ F=mg(sin(\theta)-\mu_kcos(\theta))\\ F=80(sin(20^{\circ})-0.15cos(20^{\circ}))\approx16.1N$$
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