Lesson 6.02a-d

6.02a-d Work and mechanical energy Quiz: OCR Further Maths, Unit 3

20 questions

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Lesson 6.02a-d, Work and mechanical energy: 20 multiple choice questions for the OCR Further Maths (H245), Unit 3: Mechanics (Y543), written with Revision Ninja.

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The 20 questions

  1. What is the SI unit used to measure work done and mechanical energy?

    • Joule
    • Watt
    • Newton
    • Pascal
  2. Which formula gives the kinetic energy of a body of mass m moving at speed v?

    • m v
    • 0.5 m v^2
    • m g h
    • 0.5 m v
  3. Which formula gives elastic potential energy stored in a spring with modulus lambda?

    • lambda x^2 / l
    • lambda x / l
    • lambda x / 2l
    • lambda x^2 / 2l
  4. What are the base SI dimensions of work done in terms of M, L, and T?

    • M L^2 T^-2
    • M L T^-1
    • M L T^-2
    • M L^2 T^-1
  5. How much work is done by a force acting perpendicular to the direction of motion?

    • Maximum work
    • Negative work
    • Zero
    • Force times distance
  6. What name is given to forces where work done is independent of path taken?

    • Non-conservative forces
    • Dissipative forces
    • Frictional forces
    • Conservative forces
  7. What mathematical operation calculates the work done by a variable force along a line?

    • Multiplication
    • Differentiation
    • Vector product
    • Integration
  8. What term describes the rate at which mechanical work is done with respect to time?

    • Energy
    • Momentum
    • Impulse
    • Power
  9. What is the work done when a constant force of 10 N moves an object 4 m?

    • 20 J
    • 14 J
    • 40 J
    • 2.5 J
  10. What elastic potential energy is stored in a spring with stiffness 50 N/m extended by 0.2 m?

    • 0.2 J
    • 5 J
    • 1 J
    • 10 J
  11. What GPE is lost when a 2 kg mass drops 5 m vertically under gravity g = 9.8 m/s^2?

    • 49 J
    • 98 J
    • 10 J
    • 19.6 J
  12. What is the kinetic energy of a 4 kg mass travelling at a constant speed of 3 m/s?

    • 36 J
    • 18 J
    • 12 J
    • 6 J
  13. What work is done by force vector (3i + 4j) N acting over displacement (2i - j) m?

    • 10 J
    • 14 J
    • 2 N
    • 2 J
  14. What power is developed by a force of 20 N moving an object at 5 m/s?

    • 500 W
    • 25 W
    • 4 W
    • 100 W
  15. What factor does kinetic energy increase by if the velocity of an object is doubled?

    • 8
    • 2
    • 4
    • 16
  16. How much work is done against friction when moving 3 m against a 5 N force?

    • 30 J
    • 15 J
    • 1.67 J
    • 8 J
  17. What work is done by a force F = 3x^2 N moving an object from x = 0 to 2 m?

    • 8 J
    • 12 J
    • 24 J
    • 4 J
  18. What EPE is stored in a string with modulus 40 N, natural length 1 m, extended by 0.5 m?

    • 2.5 J
    • 20 J
    • 5 J
    • 10 J
  19. What work is done by the resultant force accelerating a 1000 kg car from rest to 20 m/s?

    • 100 kJ
    • 200 kJ
    • 400 kJ
    • 20 kJ
  20. How many seconds does a 600 W engine take to perform 3 kJ of mechanical work?

    • 0.2 s
    • 5 s
    • 50 s
    • 18 s

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