MB1-MB2 Conservation of momentum and restitution Quiz: AQA Further Maths, Unit 3

The 20 questions

1. Which quantity is conserved in any collision where no net external impulse acts?

   • Relative velocity
   • Total kinetic energy
   • Total mechanical energy
   • Total momentum

2. The coefficient of restitution e is the ratio of which two speeds?

   • Final to initial
   • Initial to final
   • Approach to separation
   • Separation to approach

3. What range of values can the coefficient of restitution take?

   • -1 <= e <= 1
   • Any real number
   • 0 <= e <= 1
   • e >= 1 always

4. What type of collision is represented by a coefficient of restitution e = 1?

   • Partially elastic
   • Superelastic
   • Perfectly elastic
   • Perfectly inelastic

5. What happens to two particles after a collision if the coefficient of restitution, e, is 0?

   • They stop moving
   • They reverse direction
   • They move together
   • They bounce apart

6. For a particle hitting a smooth fixed wall, e is perpendicular rebound speed divided by what?

   • Initial velocity
   • Parallel speed
   • Rebound speed
   • Impact speed

7. When solving 2D vector collision problems, how is conservation of momentum applied?

   • To magnitudes only
   • To speed vectors
   • To components separately
   • To scalar products

8. A mass 2 kg moving at 3 m/s hits a mass 1 kg at rest, with e = 1. What is the velocity of the 1 kg mass after the collision?

   • 2 m/s
   • 1 m/s
   • 4 m/s
   • 3 m/s

9. A mass 2 kg moving at 3 m/s hits a mass 1 kg at rest and they coalesce. What is their common velocity?

   • 3 m/s
   • 1 m/s
   • 6 m/s
   • 2 m/s

10. A ball hits a smooth wall at 10 m/s perpendicular to it and rebounds at 6 m/s. What is e?

    • 0.6
    • 0.4
    • 1.6
    • 1.67

11. A mass 3 kg moves right at 4 m/s and a mass 1 kg moves left at 2 m/s. They coalesce. What is their common velocity?

    • 4 m/s to the right
    • 1.5 m/s to the right
    • 2.5 m/s to the right
    • 3 m/s to the right

12. A bullet of mass 0.01 kg leaves a rifle of mass 4 kg at 400 m/s. What is the recoil speed of the rifle?

    • 4 m/s
    • 1 m/s
    • 0.1 m/s
    • 10 m/s

13. A particle moving at 8 m/s hits a smooth fixed wall and rebounds at 2 m/s. What is e?

    • 0.25
    • 0.75
    • 0.5
    • 4

14. A mass 1 kg moving at 3 m/s hits an identical mass at rest in a perfectly elastic direct collision. What is the velocity of the first mass afterwards?

    • 1.5 m/s
    • 0
    • -3 m/s
    • 3 m/s

15. A mass 2 kg moves at 5 m/s and hits a 3 kg mass at rest with e = 0.5. What is the velocity of the 3 kg mass after the collision?

    • 3 m/s
    • 0.5 m/s
    • 5 m/s
    • 2.5 m/s

16. In a direct collision with coefficient of restitution e = 1, what is conserved alongside momentum?

    • Total velocity
    • Kinetic energy
    • Mechanical power
    • Potential energy

17. A mass 1 kg moving at 4 m/s hits a mass 2 kg at rest with e = 1/2. What is the velocity of the 1 kg mass afterwards?

    • 2 m/s
    • -1 m/s
    • 0 m/s
    • 1 m/s

18. Particles of masses 1 kg and 2 kg have velocities (2, 0) and (0, 3) m/s. They coalesce. What is their common velocity?

    • (4/3, 3) m/s
    • (2/3, 2) m/s
    • (2, 6) m/s
    • (1, 1.5) m/s

19. A mass 2 kg moves at 6 m/s and hits a mass 3 kg at rest with e = 1/3. What is the velocity of the 3 kg mass afterwards?

    • 2 m/s
    • 4 m/s
    • 1.2 m/s
    • 3.2 m/s

20. A ball hits a smooth fixed horizontal surface with normal speed 4 m/s and e = 0.5. What is its rebound normal speed?

    • 4 m/s
    • 2 m/s
    • 0.5 m/s
    • 8 m/s

Related quizzes

• Dimensional analysis Quiz · MA1-MA2 · 20 questions
• Impulse and momentum Quiz · MB3-MB4 · 20 questions
• Work, potential and kinetic energy, Hooke's law Quiz · MC1-MC4 · 20 questions
• Variable forces and power Quiz · MC5-MC7 · 20 questions
• Uniform circular motion Quiz · MD1-MD3 · 20 questions
• Conical pendulums and vertical circles Quiz · MD4-MD6 · 20 questions
• Centres of mass of particles and composite bodies Quiz · ME1-ME2 · 20 questions
• Centres of mass of laminas and solids of revolution Quiz · ME3-ME4 · 20 questions
• Equilibrium, toppling and sliding of rigid bodies Quiz · ME5-ME6 · 20 questions
• Proof by mathematical induction Quiz · A1 · 20 questions