Successive oblique impacts

Successive oblique impacts Quiz

Spec 5.2 · Edexcel A-Level Further Maths: Quiz

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5 questions, one answer each

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  1. 1. A particle with velocity (6i+8j)(6\mathbf{i}+8\mathbf{j}) m s−1^{-1} hits a wall parallel to i\mathbf{i} (e=12e=\frac12) and then a wall parallel to j\mathbf{j} (e=12e=\frac12). Find its final velocity.

    • A. (3i+4j)(3\mathbf{i}+4\mathbf{j}) m s−1^{-1}
    • B. (−3i−4j)(-3\mathbf{i}-4\mathbf{j}) m s−1^{-1}
    • C. (−3i+4j)(-3\mathbf{i}+4\mathbf{j}) m s−1^{-1}
    • D. (−6i−8j)(-6\mathbf{i}-8\mathbf{j}) m s−1^{-1}

  2. 2. A sphere bounces between two parallel smooth walls with e=0.5e=0.5. Its component perpendicular to the walls is initially 1010 m s−1^{-1}. What is it after three impacts?

    • A. 55 m s−1^{-1}
    • B. 3.753.75 m s−1^{-1}
    • C. 2.52.5 m s−1^{-1}
    • D. 1.251.25 m s−1^{-1}

  3. 3. A sphere hits two perpendicular smooth walls in turn, with the same ee. Compared with its initial velocity, its final velocity is:

    • A. parallel to it, opposite in direction, with speed multiplied by ee
    • B. parallel to it, in the same direction, with speed multiplied by ee
    • C. perpendicular to it
    • D. equal and opposite

  4. 4. A sphere hits a smooth wall at an angle θ\theta with tan⁡θ=2\tan\theta=2, and e=0.5e=0.5. It then hits a parallel wall. Find tan⁡θ\tan\theta after the second impact.

    • A. 11
    • B. 0.250.25
    • C. 0.50.5
    • D. 44

  5. 5. A 22 kg ball with velocity (3i+4j)(3\mathbf{i}+4\mathbf{j}) m s−1^{-1} hits a smooth wall parallel to i\mathbf{i}, with e=12e=\frac12. Find the kinetic energy lost.

    • A. 66 J
    • B. 1212 J
    • C. 2424 J
    • D. 3.53.5 J

Quiz