Answer to Question #102303 in Mechanics | Relativity for Akram

Question

Two forces act on the same object: F1 = 51.2 N at 52.1o and F2 = 80.1 N at 132o. Find the magnitude of the resultant force, in N.

Answer 1

$$F=\sqrt{F_1^2+F_2^2+2F_1F_2\cos{(132-52.1)}}$$

$$F=\sqrt{51.2^2+80.1^2+2(51.2)(80.1)\cos{(79.9\degree)}}=102\ N$$