Lesson 3C.1.2

3C.1.2 Momentum as a vector Quiz: Pearson Edexcel Further Maths, Unit 25

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 3C.1.2, Momentum as a vector: 20 multiple choice questions for the Pearson Edexcel Further Maths (9FM0), Unit 25: Momentum, written with Revision Ninja.

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The 20 questions

  1. What is the vector form of the impulse-momentum principle?

    • I = m(v + u)
    • I = (v - u)/m
    • I = m v.u (the scalar product)
    • I = m(v - u)

  2. What is the direction of the momentum vector of a particle?

    • The same direction as its velocity
    • Opposite to its velocity
    • Perpendicular to its velocity
    • Always along the x-axis

  3. What is the magnitude of the vector 3i + 4j?

    • 7
    • 25
    • sqrt(7)
    • 5

  4. How are vector impulse and momentum components treated?

    • Only the largest component is used
    • Each component satisfies the impulse-momentum principle separately
    • The i and j components are multiplied together
    • Only the magnitude of the impulse matters

  5. A particle of mass m has velocity u before an impulse I. What is its velocity afterwards?

    • v = I/(m u)
    • v = u + I/m
    • v = (u + I) m
    • v = u - I/m

  6. What is the direction of a vector a i + b j, measured as an angle theta to the x-axis?

    • tan theta = b/a
    • tan theta = a + b
    • cos theta = a/b
    • sin theta = a/b

  7. What is the unit vector in the direction of 3i + 4j?

    • (3i + 4j)/4
    • (3i + 4j)/25
    • (3i + 4j)/7
    • (3i + 4j)/5

  8. A particle of mass 4 kg has velocity 3i - 2j m/s. What is its momentum?

    • 12i - 8j
    • 3i - 8j
    • 7i - 6j
    • 12i + 8j

  9. A particle of mass 4 kg has velocity 3i - 2j m/s and receives an impulse 8i + 12j N s. What is its velocity afterwards?

    • 11i + 10j m/s
    • 5i + j m/s
    • 2i + j m/s
    • 5i - j m/s

  10. Using the velocity found in the previous setting, what is its speed, to 2 decimal places?

    • 5.10 m/s, from sqrt(26)
    • 5.00 m/s
    • sqrt(14) m/s
    • 6.00 m/s

  11. A particle of mass 2 kg at rest receives an impulse (6i + 8j) N s. What is its speed afterwards?

    • 7 m/s
    • 20 m/s
    • 5 m/s
    • 10 m/s

  12. A particle has velocity 5i + 12j. What angle does this velocity make with the x-axis, to 1 decimal place?

    • 67.4 degrees
    • 73.4 degrees
    • 22.6 degrees
    • 45.0 degrees

  13. A particle of mass 3 kg has velocity 2i + 2j m/s and receives an impulse -6j N s. What is its velocity afterwards?

    • -2i + 2j m/s
    • 2i + 4j m/s
    • 2i - 4j m/s
    • 2i m/s

  14. A particle of mass 4 kg has velocity 5i + j m/s. What is its kinetic energy?

    • 26 J
    • 52 J
    • 13 J
    • 104 J

  15. A ball of mass 0.5 kg with velocity 4i + 3j hits a smooth vertical wall and rebounds with velocity -4i + 3j. What is the impulse on the ball?

    • -4i N s
    • -4j N s
    • -8i N s
    • 4i N s

  16. A particle of mass 2 kg has velocity 4i - j and receives an impulse -2i + 6j. What is its velocity afterwards?

    • 3i + 2j m/s
    • 3i - 2j m/s
    • 5i + 2j m/s
    • 2i + 5j m/s

  17. A particle of mass 1 kg changes velocity from 3i to 3j. What is the magnitude of the impulse it receives, to 2 decimal places?

    • 6 N s
    • 1.73 N s
    • 3 N s
    • 4.24 N s, from 3 sqrt(2)

  18. A particle of mass 5 kg has velocity 3i + 4j and receives an impulse -15i N s. What is its speed afterwards?

    • 4 m/s
    • 7 m/s
    • sqrt(32) m/s
    • 5 m/s

  19. A particle of mass 2 kg has velocity 2i + j and then velocity -2i + 3j. What is the magnitude of the impulse it received, to 2 decimal places?

    • 4.47 N s, from sqrt(20)
    • 12 N s
    • 8.94 N s, from sqrt(80)
    • 4.00 N s

  20. Which statement about impulse and speed is correct?

    • Impulse is zero whenever the kinetic energy is constant
    • A particle can receive a non-zero impulse while its speed stays the same, because its direction changes
    • At constant speed, impulse equals the momentum of the particle
    • A particle with constant speed always has zero impulse

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