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30 September, 06:41

Two forces of 7 newtons and 11 newtons act on a body at an angle of 60° to each other. Find the magnitude of the resultant force to the nearest whole number.

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  1. 30 September, 09:57
    0
    16 N

    Step-by-step explanation:

    If the 7 N force is at 0°, and the 11 N force is at 60°, then the components of the resultant force are:

    Fₓ = 7 cos 0° + 11 cos 60° = 12.5

    Fᵧ = 7 sin 0° + 11 sin 60° ≈ 9.53

    The magnitude of the resultant force is:

    F = √ (Fₓ² + Fᵧ²)

    F ≈ 15.7

    Rounded to the nearest whole number, the magnitude is 16 N.
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