mandeepchaurasiya4 mandeepchaurasiya4
  • 14-06-2020
  • Physics
contestada

magnitude F have a
resultant of the
same magnitude F.
The angle between
the two forces is:
45 degree
120 degree
150 degree
180 degree​

Respuesta :

fichoh
fichoh fichoh
  • 22-06-2020

Answer:

120°

Explanation:

Given forces with magnitude F and F

Applying the parallelogram law of vector

Where resultant is given as :

R = √(A^2 + B^2 + 2ABCos Ф

WHERE A and B are two forces with angle Ф

F =√(F^2 + F^2 + 2F * F Cos Ф

Square both sides

F^2 = F^2 + F^2 + 2F^2 CosФ

F^2 - 2F^2 = 2F^2 CosФ

- F^2 = 2F^2 Cos Ф

Divide both sides by 2F^2

- 1 / 2 = CosФ

Cosine(theta) = - 1/2

Ф = cosi^-1 (-1/2)

Ф = 120°

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