two forces of magnitude 12N and 13N have a resultant of 1N find the angle between the forces what shall be the angle between the two forces if their resultant is 0.9 N
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The resultant of two vectors is given by
A² + B² + 2AB Cosx = R²
12² + 13² + 2×12×13×Cosx = 1
144 + 169 + 402 Cosx =1
402 Cos x = - 402
Cos x = - 1
x = 180°
A resultant of 0.9 N is not possible because the minimum value a resultant of two vectors can attain is A ~ B i.e. A difference B.
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