Question

two forces of 19.8 pounds and 36.5 pounds act on a body with an angle of 61.4 degrees between them. choose the correct approximation for the magnitude of the resultant vector. 45.5 pounds 21.3 pounds 49.2 pounds 2416.2 pounds

Explanation:

Step1: Apply the law of cosines

The formula for the magnitude \( R \) of the resultant of two vectors \( F_1\) and \( F_2\) with an angle \( \theta\) between them is \( R=\sqrt{F_1^{2}+F_2^{2}+2F_1F_2\cos\theta}\). Here \( F_1 = 19.8\), \( F_2=36.5\), and \( \theta = 61.4^{\circ}\).

Step2: Substitute the values

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Answer:

C. 49.2 pounds