4.2.1 Hooke's law and force-extension graphs Quiz: Pearson Edexcel Physics, Unit 4

The 20 questions

1. What is directly proportional to applied force according to Hooke's law?

   • Strain
   • Extension
   • Stored energy
   • Stress

2. What is the SI unit of the stiffness k of a spring?

   • N/m
   • N m
   • kg m^-1
   • N m^-2

3. What quantity is represented by the gradient of a force-extension graph?

   • Young modulus
   • Tensile strength
   • Stored energy
   • Stiffness constant

4. What shape does a force-extension graph take beyond the limit of proportionality?

   • Straight line
   • Vertical line
   • Horizontal line
   • Curved line

5. What term describes deformation where a material does not return to its original shape?

   • Elastic deformation
   • Plastic deformation
   • Hookean deformation
   • Compressive deformation

6. What point on a force-extension graph marks the start of large plastic extension?

   • Breaking point
   • Yield point
   • Elastic limit
   • Limit of proportionality

7. What point on a force-extension graph marks the onset of permanent deformation?

   • Limit of proportionality
   • Breaking point
   • Elastic limit
   • Yield point

8. A spring of stiffness 40 N/m is extended by 0.25 m. What force is needed?

   • 160 N
   • 0.16 N
   • 10 N
   • 4.0 N

9. A force of 6.0 N produces an extension of 0.12 m in a spring obeying Hooke's law. What is its stiffness?

   • 0.02 N/m
   • 5.0 N/m
   • 50 N/m
   • 0.72 N/m

10. A spring of stiffness 200 N/m is pulled with a force of 3.0 N. What is its extension?

    • 15 mm
    • 0.67 mm
    • 1.5 mm
    • 600 mm

11. Spring X (20 N/m) and spring Y (60 N/m) experience equal forces. How does extension X compare to Y?

    • 9 times larger
    • 3 times larger
    • Same extension
    • 3 times smaller

12. A spring of stiffness 150 N/m is stretched from its natural length to an extension of 0.040 m. What force is needed?

    • 150 N
    • 6.0 N
    • 0.27 N
    • 3.75 N

13. As the force on a wire increases from 2.0 N to 5.0 N, its extension increases from 0.040 m to 0.100 m. What is its stiffness in this region?

    • 50 N/m
    • 70 N/m
    • 30 N/m
    • 0.012 N/m

14. A spring of stiffness 400 N/m is compressed by 0.030 m. What force is needed to hold it compressed?

    • 12 N
    • 13 N
    • 1200 N
    • 0.13 N

15. A 0.50 kg mass hangs on a spring and produces an extension of 0.196 m. Take g = 9.8 N/kg. What is the stiffness of the spring?

    • 250 N/m
    • 5.0 N/m
    • 2.5 N/m
    • 25 N/m

16. What point on a force-extension graph is passed when extension increases rapidly with minimal additional force?

    • Limit of proportionality
    • Yield point
    • Elastic limit
    • Breaking point

17. A 0.40 kg mass hangs at equilibrium from a spring of stiffness 60 N/m. Take g = 9.8 N/kg. What is the extension of the spring?

    • 0.065 m
    • 0.41 m
    • 0.15 m
    • 0.0065 m

18. A graph of force against total length does not pass through origin because of what parameter?

    • Spring constant
    • Elastic limit
    • Natural length
    • Limit of proportionality

19. A spring obeys Hooke's law. A force of 3.0 N gives an extension of 0.060 m, and a force of 9.0 N gives an extension of 0.20 m. What is its stiffness?

    • 30 N/m
    • 50 N/m
    • 43 N/m
    • 67 N/m

20. What relationship between force and extension gives a linear force-extension graph?

    • Inverse proportionality
    • Exponential growth
    • Direct proportionality
    • Quadratic relationship

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