Question

two forces each of the magnitude F have a resultant of the same magnitude F the angle between the two forces is

Answer 1

Force is vector quantity . Resultant of two vectors A and B is given by
R = √{A² + B² + 2A.BcosФ} , where Ф is angle between A and B

Now, magnitude of each force is F and resutant is also F
Then, F = √{F² + F² + 2.F.FcosФ}
⇒F² = F² + F² + 2F².cosФ
⇒- F² = 2F²cosФ
⇒ -1/2 = cosФ
⇒cosФ = -1/2 = cos120°
⇒Ф = 120°
Hence angle between them is 120°

Answer 2

This is your answer hope you understood

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