Momentum and impulse in vector form

Momentum and impulse in vector form Quiz

Spec 4.1 · Edexcel International A Level Further Maths: Quiz

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  1. 1. A 33 kg particle has velocity 2i−4j2\mathbf{i}-4\mathbf{j} m s−1^{-1}. Find its momentum.

    • A. (6i−12j)(6\mathbf{i}-12\mathbf{j}) kg m s−1^{-1}
    • B. (23i−43j)\left(\frac23\mathbf{i}-\frac43\mathbf{j}\right) kg m s−1^{-1}
    • C. (5i−j)(5\mathbf{i}-\mathbf{j}) kg m s−1^{-1}
    • D. (6i+12j)(6\mathbf{i}+12\mathbf{j}) kg m s−1^{-1}
  2. 2. A 0.50.5 kg particle's velocity changes from 4i+2j4\mathbf{i}+2\mathbf{j} to −2i+2j-2\mathbf{i}+2\mathbf{j}. Find the impulse.

    • A. 3i3\mathbf{i} N s
    • B. −6i-6\mathbf{i} N s
    • C. −3i-3\mathbf{i} N s
    • D. −3i+2j-3\mathbf{i}+2\mathbf{j} N s
  3. 3. An impulse of (3i−4j)(3\mathbf{i}-4\mathbf{j}) N s acts on a 22 kg particle at rest. Find its speed afterwards.

    • A. 55 m s−1^{-1}
    • B. 2.52.5 m s−1^{-1}
    • C. 1.251.25 m s−1^{-1}
    • D. 1010 m s−1^{-1}
  4. 4. A 22 kg particle with velocity 3i3\mathbf{i} collides with a 11 kg particle with velocity −3i-3\mathbf{i} and they coalesce. Find the velocity after.

    • A. 3i3\mathbf{i} m s−1^{-1}
    • B. 00
    • C. −i-\mathbf{i} m s−1^{-1}
    • D. i\mathbf{i} m s−1^{-1}
  5. 5. Two particles collide. What is true of the impulses they exert on each other?

    • A. Equal in magnitude and in the same direction
    • B. Equal in magnitude only if the masses are equal
    • C. Equal in magnitude and opposite in direction
    • D. Larger on the lighter particle, in the same direction

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