Forces as vectors and resolving forces

Forces as vectors and resolving forces Quiz

Spec 5.1 · Edexcel International A Level Maths: Quiz

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5 questions, one answer each

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  1. 1. A force of 12 N acts at 30∘30^\circ above the horizontal. Its horizontal component is

    • A. 66 N
    • B. 636\sqrt{3} N
    • C. 12312\sqrt{3} N
    • D. 2424 N

  2. 2. The magnitude of (5i−12j)(5\mathbf{i}-12\mathbf{j}) N is

    • A. 77 N
    • B. 1717 N
    • C. 1313 N
    • D. 169169 N

  3. 3. Forces (2i+j)(2\mathbf{i}+\mathbf{j}) N and (i−4j)(\mathbf{i}-4\mathbf{j}) N act on a particle. The resultant is

    • A. (i+5j)(\mathbf{i}+5\mathbf{j}) N
    • B. (3i−3j)(3\mathbf{i}-3\mathbf{j}) N
    • C. (3i+5j)(3\mathbf{i}+5\mathbf{j}) N
    • D. (i−3j)(\mathbf{i}-3\mathbf{j}) N

  4. 4. A particle of weight 40 N is on a smooth slope at 20∘20^\circ to the horizontal. The component of the weight down the slope is

    • A. 40cos⁡20∘40\cos20^\circ N
    • B. 40tan⁡20∘40\tan20^\circ N
    • C. 40sin⁡20∘\frac{40}{\sin20^\circ} N
    • D. 40sin⁡20∘40\sin20^\circ N

  5. 5. The resultant of some forces is (−3i+4j)(-3\mathbf{i}+4\mathbf{j}) N. The magnitude of the force needed to balance it is

    • A. 55 N
    • B. 77 N
    • C. 11 N
    • D. 2525 N

Quiz