Vectors & Resolution — A/L Physics

How do I practise Vectors & Resolution?

1 question with a worked solution

1. Two coplanar forces of equal magnitude F act on a particle at an angle of 120° to each other. What is the magnitude of their resultant force?
   1. A) 2F
   2. B) F / 2
   3. C) √3 F
   4. D) F
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   Correct answer: D) F

   Using the parallelogram law of vectors: R = √(F₁² + F₂² + 2F₁F₂ cos θ). With F₁ = F₂ = F and θ = 120°: R = √(F² + F² + 2F² cos 120°) = √(2F² + 2F²(-1/2)) = √(2F² - F²) = √F² = F.

   Show worked solution

   Step 1: Formula: R = √(A² + B² + 2AB cos θ). Step 2: Substitute A = F, B = F, θ = 120°: R = √(F² + F² + 2F²(-0.5)) = √(2F² - F²) = F. Answer: F.
   Modelled on: the A/L Physics examination pattern

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Where does Vectors & Resolution fit in the syllabus?

Unit 1.5 · Year 1 · Term 1