Lesson R5

R5 Resultant forces in a plane Quiz: AQA Maths, Unit 12

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson R5, Resultant forces in a plane: 20 multiple choice questions for the AQA Maths (7357), Unit 12: Mechanics, written with Revision Ninja.

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The 20 questions

  1. The resultant of two or more forces is:

    • Their vector sum
    • The average of the forces
    • Their scalar sum of magnitudes
    • The difference between the largest and smallest magnitudes

  2. What is the resultant of perpendicular forces of 9 N and 12 N?

    • 21 N
    • 10.8 N
    • 15 N
    • 3 N

  3. Two forces of 4 N each act at 60 degrees to each other. What is the magnitude of the resultant, to 1 decimal place?

    • 6.9 N
    • 5.7 N
    • 4.0 N
    • 8.0 N

  4. Forces (3i + 2j) N and (-i + 5j) N act on a particle. What is the resultant?

    • 2i + 7j N
    • 2i - 3j N
    • 4i + 3j N
    • 4i + 7j N

  5. A single force (3i + 4j) N acts on a particle. What is its magnitude?

    • 5 N
    • 12 N
    • 7 N
    • 1 N

  6. Two forces of 10 N act at 120 degrees to each other. What is the magnitude of the resultant?

    • 17.3 N
    • 20 N
    • 0 N
    • 10 N

  7. When applying Newton's second law in a plane, what should be used?

    • Each force separately in turn
    • Only the horizontal component
    • The resultant force, component by component
    • The magnitudes of the forces added directly

  8. A 2 kg particle experiences a resultant force (6i - 8j) N. What is the magnitude of its acceleration?

    • 3 m s^-2
    • 5 m s^-2
    • 10 m s^-2
    • 7 m s^-2

  9. A 3 kg particle is acted on by forces (2i + 3j) N and (4i - j) N. What is its acceleration?

    • 2i + 2j m s^-2
    • (2i + (2/3)j) m s^-2
    • 6i + 2j m s^-2
    • (2/3)i + 2j m s^-2

  10. A 4 kg particle changes velocity from 2i m s^-1 to 2i + 6j m s^-1 in 3 s. What constant force acts on it?

    • 24j N
    • 2j N
    • 8j N
    • 8i N

  11. A 5 kg particle at rest is acted on by a constant resultant force (10i + 5j) N for 2 s. What is its velocity at the end?

    • 8i + 4j m s^-1
    • 2i + j m s^-1
    • 10i + 5j m s^-1
    • 4i + 2j m s^-1

  12. Forces of 5 N east and 3 N north act on a particle in equilibrium with a third force F. What is the magnitude of F, to 1 decimal place?

    • 8.0 N
    • 2.0 N
    • 34.0 N
    • 5.8 N

  13. A 1 kg particle starts at rest at the origin under a constant resultant force (4i + 3j) N. Where is it after 2 s?

    • (16i + 12j) m
    • (2i + 1.5j) m
    • (8i + 6j) m
    • (4i + 3j) m

  14. A constant force (6i - 2j) N gives a particle an acceleration of (3i - j) m s^-2. What is the mass?

    • 3 kg
    • 1 kg
    • 6 kg
    • 2 kg

  15. Three forces (2i + j) N, (-3i + 4j) N and F act on a particle in equilibrium. What is F?

    • 5i + j N
    • -i - 5j N
    • i - 5j N
    • -i + 5j N

  16. A 0.5 kg particle has velocity 3j m s^-1 at t = 0 and a constant resultant force 2i N. What is its velocity at t = 4 s?

    • 8i + 3j m s^-1
    • 16i + 3j m s^-1
    • 4i + 3j m s^-1
    • 16i + 6j m s^-1

  17. Two perpendicular forces of 6 N and 8 N act on a 2 kg body at rest. What is its speed after 4 s?

    • 20 m s^-1
    • 14 m s^-1
    • 10 m s^-1
    • 40 m s^-1

  18. The resultant of forces (3i + 4j) N makes what angle with the i-axis, to the nearest degree?

    • 53 degrees
    • 45 degrees
    • 127 degrees
    • 37 degrees

  19. Forces of 10 N east, 10 N west and 5 N north act on a particle. What is the magnitude of the resultant?

    • 10 N
    • 5 N
    • 0 N
    • 15 N

  20. A 4 kg particle is acted on by a resultant force (8i - 4j) N from rest. What is its speed after 3 s, to 1 decimal place?

    • 6.0 m s^-1
    • 6.7 m s^-1
    • 9.0 m s^-1
    • 3.0 m s^-1

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