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two forces f1 and f2 with |f1|=30N and|f2|=40N act on a point , if the angle between f1&f2 is 30°, then what is the resultant force​

User Kkemple
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6 votes

Answer:

Step-by-step explanation:

The resultant force can be found by using the law of cosines. The magnitude of the resultant force (|R|) is given by the square root of (f1^2 + f2^2 - 2f1f2*cos(theta)), where theta is the angle between the two forces.

In this case, |R| = sqrt(30^2 + 40^2 - 23040cos(30)) = sqrt(900 + 1600 - 1200(sqrt(3)/2)) = sqrt(2500 - 1200*(sqrt(3)/2)) = sqrt(2500 - 600sqrt(3)) = 50sqrt(3) N

User Arun Rana
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