Momentum and impulse as vectors

Momentum and impulse as vectors Quiz

Spec 1.2 · Edexcel A-Level Further Maths: Quiz

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5 questions, one answer each

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  1. 1. A 33 kg particle changes velocity from (2i+j)(2\mathbf{i}+\mathbf{j}) to (5i−j)(5\mathbf{i}-\mathbf{j}) m s−1^{-1}. What is the impulse?

    • A. (9i−6j)(9\mathbf{i}-6\mathbf{j}) N s
    • B. (9i+6j)(9\mathbf{i}+6\mathbf{j}) N s
    • C. (3i−2j)(3\mathbf{i}-2\mathbf{j}) N s
    • D. (−9i+6j)(-9\mathbf{i}+6\mathbf{j}) N s

  2. 2. An impulse is (6i−8j)(6\mathbf{i}-8\mathbf{j}) N s. What is its magnitude?

    • A. 1414 N s
    • B. 22 N s
    • C. 1010 N s
    • D. 100100 N s

  3. 3. A constant force (4i+3j)(4\mathbf{i}+3\mathbf{j}) N acts on a 22 kg particle, initially at rest, for 33 s. What is its final velocity?

    • A. (12i+9j)(12\mathbf{i}+9\mathbf{j}) m s−1^{-1}
    • B. (6i+4.5j)(6\mathbf{i}+4.5\mathbf{j}) m s−1^{-1}
    • C. (2i+1.5j)(2\mathbf{i}+1.5\mathbf{j}) m s−1^{-1}
    • D. (0.67i+0.5j)(0.67\mathbf{i}+0.5\mathbf{j}) m s−1^{-1}

  4. 4. Two particles of equal mass mm with velocities (2i+j)(2\mathbf{i}+\mathbf{j}) and (−2i+3j)(-2\mathbf{i}+3\mathbf{j}) coalesce. What is the velocity of the combined particle?

    • A. (4j)(4\mathbf{j}) m s−1^{-1}
    • B. (2i+4j)(2\mathbf{i}+4\mathbf{j}) m s−1^{-1}
    • C. (2j)(2\mathbf{j}) m s−1^{-1}
    • D. (i+2j)(\mathbf{i}+2\mathbf{j}) m s−1^{-1}

  5. 5. A smooth wall is parallel to i\mathbf{i}. In which direction is the impulse of the wall on a ball?

    • A. Along i\mathbf{i}
    • B. Along the ball's initial velocity
    • C. Along the ball's final velocity
    • D. Along j\mathbf{j} (perpendicular to the wall)

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