Lesson 3C.3.1

3C.3.1 Elastic strings and springs Quiz: Pearson Edexcel Further Maths, Unit 27

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 3C.3.1, Elastic strings and springs: 20 multiple choice questions for the Pearson Edexcel Further Maths (9FM0), Unit 27: Elastic strings and springs, written with Revision Ninja.

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The 20 questions

  1. What is Hooke's law for an elastic string of natural length L, modulus lambda and extension x?

    • T = L / (lambda x)
    • T = lambda x / L
    • T = lambda + x / L
    • T = lambda x L

  2. What does the modulus of elasticity represent when extension equals natural length?

    • Natural length
    • Energy stored
    • Tension
    • Total length

  3. What is the elastic energy stored in a string of natural length L, modulus lambda and extension x?

    • lambda x^2 / L
    • (1/2) lambda L x
    • lambda x / (2L)
    • lambda x^2 / (2L)

  4. What is the length of an elastic string when it is under zero tension?

    • Extended length
    • Modulus length
    • Compressed length
    • Natural length

  5. What is the increase in length of an elastic string beyond its natural length called?

    • Total length
    • Modulus
    • Extension
    • Compression

  6. Within its elastic limit, what force does a compressed spring exert?

    • Zero force
    • Tension
    • Thrust
    • Shear force

  7. What form of energy is stored in a stretched elastic string?

    • Chemical energy
    • Kinetic energy
    • Thermal energy
    • Elastic potential energy

  8. An elastic string has modulus 40 N, natural length 2 m and extension 0.5 m. What is the tension?

    • 20 N
    • 40 N
    • 2.5 N
    • 10 N

  9. For the string in the previous setting, what is the elastic energy stored?

    • 1.25 J
    • 10 J
    • 5 J
    • 2.5 J

  10. A particle of mass 4 kg hangs in equilibrium from an elastic string of modulus 60 N and natural length 1.5 m, with g = 9.8 m/s^2. What is the extension, to 2 decimal places?

    • 0.98 m
    • 0.65 m
    • 1.47 m
    • 39.2 m

  11. For the equilibrium string in the previous setting (extension 0.98 m), what is the elastic energy stored, to 1 decimal place?

    • 19.2 J
    • 39.2 J
    • 9.6 J
    • 58.8 J

  12. A particle of mass 2 kg is attached to an elastic string of natural length 1 m and modulus 20 N. It is released from rest at the point where the string is at its natural length, with g = 9.8 m/s^2. What is the extension at the lowest point, to 2 decimal places?

    • 3.92 m
    • 1.96 m
    • 0.98 m
    • 1.00 m

  13. A spring with stiffness 80 N/m is compressed by 0.05 m. What thrust does it exert?

    • 4 N
    • 80 N
    • 1.6 N
    • 0.4 N

  14. A spring with stiffness 200 N/m is compressed by 0.1 m. How much elastic energy is stored?

    • 2 J
    • 10 J
    • 0.1 J
    • 1 J

  15. An elastic string has modulus 30 N and natural length 1.2 m. What is the tension when its length is 1.5 m?

    • 5 N
    • 25 N
    • 7.5 N
    • 30 N

  16. A particle of mass 3 kg is attached to an elastic string of natural length 1.5 m and modulus 30 N, released from rest at natural length, with g = 9.8 m/s^2. What is its extension at the lowest point, to 2 decimal places?

    • 4.41 m
    • 2.94 m
    • 1.96 m
    • 1.47 m

  17. A string of modulus 20 N and natural length 1 m is stretched from an extension of 0.5 m to 1.5 m. What is the work done?

    • 20 J
    • 10 J
    • 22.5 J
    • 2.5 J

  18. A particle hangs in equilibrium from a string with modulus 50 N, natural length 1 m and extension 0.2 m, with g = 9.8 m/s^2. What is its mass, to 2 decimal places?

    • 0.98 kg
    • 1.02 kg
    • 2.00 kg
    • 10.2 kg

  19. What is the tension in an elastic string of natural length 2 m and modulus 50 N when its total length is 3 m?

    • 100 N
    • 50 N
    • 25 N
    • 75 N

  20. If the extension of an elastic string is doubled, by what factor does the stored elastic energy increase?

    • 1.5
    • 8
    • 4
    • 2

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