Lesson 4.2.2

4.2.2 Stress, strain and elastic strain energy Quiz: Pearson Edexcel Physics, Unit 4

20 questions

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Lesson 4.2.2, Stress, strain and elastic strain energy: 20 multiple choice questions for the Pearson Edexcel Physics (9PH0), Unit 4: Materials, written with Revision Ninja.

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The 20 questions

  1. How is tensile or compressive stress defined?

    • Extension per unit original length
    • Force divided by cross-sectional area
    • Strain divided by the Young modulus
    • Force multiplied by cross-sectional area

  2. How is strain defined?

    • Force divided by cross-sectional area
    • Stress multiplied by the Young modulus
    • Change in length in metres
    • Change in length divided by original length

  3. How is the Young modulus of a material defined?

    • Stress divided by strain
    • Strain divided by stress
    • Stress multiplied by strain
    • Force divided by extension

  4. What is the unit of strain?

    • Newtons per metre
    • It has no unit, because it is a ratio of two lengths
    • Metres
    • Pascals

  5. What is meant by the breaking stress of a material?

    • The strain reached before the material returns to its original length
    • The stress at the yield point
    • The stress at which Hooke's law stops being obeyed
    • The stress at which the material fractures

  6. Which expression gives the elastic strain energy stored in a stretched wire that obeys Hooke's law?

    • F delta x
    • 1/2 F (delta x)^2
    • 1/2 F delta x
    • F^2/(2 delta x)

  7. What does the area under a force-extension graph represent?

    • The elastic strain energy stored in the material
    • The gradient of the force-extension graph
    • The stress multiplied by the extension at the elastic limit
    • The force at the yield point

  8. A force of 200 N acts on a wire of cross-sectional area 2.0 x 10^-4 m^2. What is the stress in the wire?

    • 1.0 x 10^6 Pa
    • 1.0 x 10^-6 Pa
    • 4.0 x 10^-2 Pa
    • 4.0 x 10^5 Pa

  9. A wire of original length 2.0 m extends by 0.50 mm. What is its strain?

    • 2.5 x 10^-4
    • 0.25
    • 2.5 x 10^-3
    • 4.0 x 10^-4

  10. A material has stress 5.0 x 10^7 Pa and strain 1.0 x 10^-3 within its elastic region. What is its Young modulus?

    • 5.0 x 10^4 Pa
    • 5.0 x 10^7 Pa
    • 5.0 x 10^10 Pa
    • 2.0 x 10^-11 Pa

  11. A steel wire of length 1.5 m has stress 2.0 x 10^8 Pa and Young modulus 2.0 x 10^11 Pa. What is its extension?

    • 0.67 mm
    • 15 mm
    • 1.5 mm
    • 0.15 mm

  12. A spring obeys Hooke's law. It is extended by 0.020 m under a force of 8.0 N. How much elastic strain energy is stored?

    • 0.080 J
    • 0.040 J
    • 0.0040 J
    • 0.16 J

  13. A Hooke's law spring stores 0.50 J of elastic strain energy when extended by 0.10 m. What is its stiffness?

    • 50 N/m
    • 200 N/m
    • 100 N/m
    • 10 N/m

  14. A wire carries a force of 500 N and has a stress of 1.0 x 10^8 Pa. What is its cross-sectional area?

    • 2.0 x 10^-6 m^2
    • 5.0 x 10^-8 m^2
    • 5.0 x 10^-4 m^2
    • 5.0 x 10^-6 m^2

  15. A steel wire has Young modulus 2.0 x 10^11 Pa and is under stress 4.0 x 10^8 Pa. What is its strain?

    • 2.0 x 10^-3
    • 2.0 x 10^-2
    • 8.0 x 10^-3
    • 5.0 x 10^-4

  16. A student says a material with a high Young modulus must be strong. Which evaluation is correct?

    • This is correct, because a high Young modulus means a large breaking stress
    • This is incorrect, because Young modulus measures stiffness, while breaking stress measures strength
    • This is incorrect, because Young modulus is measured in units of strain
    • This is correct, because stronger materials always have larger strains

  17. A wire of diameter 0.50 mm carries a force of 20 N. What is the stress in the wire? Take pi = 3.14.

    • 1.0 x 10^5 Pa
    • 5.1 x 10^7 Pa
    • 1.0 x 10^8 Pa
    • 2.0 x 10^8 Pa

  18. A wire of length 1.0 m, cross-sectional area 1.0 x 10^-6 m^2 and Young modulus 2.0 x 10^11 Pa carries a force of 400 N. What is its extension?

    • 2.0 mm
    • 0.50 mm
    • 20 mm
    • 0.20 mm

  19. A force-extension graph is a straight line from the origin to (0.020 m, 10 N), then horizontal at 10 N until 0.040 m. How much energy is stored up to 0.040 m?

    • 0.20 J
    • 0.30 J
    • 0.40 J
    • 0.15 J

  20. Why does the area under a force-extension graph give the stored energy even when the graph is not straight?

    • The area is always equal to the Young modulus multiplied by the extension
    • The area is only meaningful once the material has yielded
    • The area equals the gradient multiplied by the extension for any curve
    • The area represents the work done by the force, which is stored as elastic strain energy

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