Fundamentals of Physics Extended (10th Edition)

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

Chapter 5 - Force and Motion-I - Problems - Page 122: 74

Answer

2.2 kg

Work Step by Step

Resultant force $F_{net}=\sqrt {F_{1}^{2}+F_{2}^{2}+2F_{1}F_{2}\cos\theta}$ $=\sqrt {(20\,N)^{2}+(35\,N)^{2}+2\times20\,N\times35\,N\times\cos 80^{\circ}}$ $=43\,N$ Now, $F_{net}=ma$ (Newton's second law) $\implies m=\frac{F_{net}}{a}=\frac{43\,N}{20\,m/s^{2}}=2.2\,kg$
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