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26 August, 19:58

Alicia draws a diagram to represent two forces, F1 and F2, acting on a body. The angle between the directions of the forces is 50° as shown in the diagram. Alicia notices that she can use the Law of Cosines to find the magnitude of the resultant force R in the diagram. What is the value of R?

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  1. 26 August, 21:33
    0
    Refer to the diagram shown below.

    When the two forces F₁ and F₂ are added vectorially, the resultant force is R.

    The angle x = 180° - 50° = 130°.

    From the Law of Cosines, obtain

    R² = F₁² + F₂² - 2F₁F₂ cos (130°)

    Note that 2 cos (130°) = - 1.2856.

    Answer:

    R = √ (F₁² + F₂² + 1.2856 F₁F₂)
  2. 26 August, 21:54
    0
    C. 70.7 is my best guess.
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