Resolving forces and resultants

Resolving forces and resultants Quiz

Spec R5 · AQA A-Level Maths: Quiz

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5 questions, one answer each

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  1. 1. A force of 2020 N acts at 60∘60^\circ above the horizontal. What is its horizontal component?

    • A. 17.317.3 N
    • B. 2020 N
    • C. 1010 N
    • D. 34.634.6 N

  2. 2. Find the resultant of (3i+5j)(3\mathbf{i}+5\mathbf{j}) N and (−i−7j)(-\mathbf{i}-7\mathbf{j}) N.

    • A. (4i+12j)(4\mathbf{i}+12\mathbf{j}) N
    • B. (2i−2j)(2\mathbf{i}-2\mathbf{j}) N
    • C. (2i+12j)(2\mathbf{i}+12\mathbf{j}) N
    • D. (−2i+2j)(-2\mathbf{i}+2\mathbf{j}) N

  3. 3. Forces (2i+3j)(2\mathbf{i}+3\mathbf{j}) N, (−5i+j)(-5\mathbf{i}+\mathbf{j}) N and F\mathbf{F} keep a particle in equilibrium. Find F\mathbf{F}.

    • A. (3i−4j)(3\mathbf{i}-4\mathbf{j}) N
    • B. (−3i+4j)(-3\mathbf{i}+4\mathbf{j}) N
    • C. (−7i−2j)(-7\mathbf{i}-2\mathbf{j}) N
    • D. (7i+2j)(7\mathbf{i}+2\mathbf{j}) N

  4. 4. A 33 kg block slides down a smooth plane inclined at 20∘20^\circ. Find its acceleration.

    • A. 9.21 m s−29.21\ \text{m s}^{-2}
    • B. 9.8 m s−29.8\ \text{m s}^{-2}
    • C. 1.12 m s−21.12\ \text{m s}^{-2}
    • D. 3.35 m s−23.35\ \text{m s}^{-2}

  5. 5. Horizontal forces of 66 N east and 88 N north act on a 22 kg particle. Find the magnitude of its acceleration.

    • A. 7 m s−27\ \text{m s}^{-2}
    • B. 14 m s−214\ \text{m s}^{-2}
    • C. 5 m s−25\ \text{m s}^{-2}
    • D. 10 m s−210\ \text{m s}^{-2}

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