Two forces, each of 10 N, act at a point P, as shown. The angle between the directions of theforces is 120.120°P10 N10 NWhat is the magnitude of the resultant force?A 5 N B 10 N C 17 N D 20 N
Question
Two forces, each of 10 N, act at a point P, as shown. The angle between the directions of theforces is 120.120°P10 N10 NWhat is the magnitude of the resultant force?A 5 N B 10 N C 17 N D 20 N
Solution
The magnitude of the resultant force can be found using the formula for the resultant of two forces, which is given by:
R = sqrt[(F1^2) + (F2^2) + 2F1F2*cos(θ)]
where F1 and F2 are the magnitudes of the two forces and θ is the angle between them.
In this case, F1 = F2 = 10 N and θ = 120°.
So, R = sqrt[(10^2) + (10^2) + 21010*cos(120°)] = sqrt[100 + 100 - 200] = sqrt[0] = 0 N
So, the magnitude of the resultant force is 0 N.
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