Hooke's law and elastic energy

Hooke's law and elastic energy Quiz

AQA A-Level Further Maths: Quiz

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5 questions, one answer each

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  1. 1. A string has natural length 0.8 m and modulus 20 N. What is the tension when its extension is 0.2 m?

    • A. 3.23.2 N
    • B. 2020 N
    • C. 55 N
    • D. 8080 N

  2. 2. A string has natural length 0.5 m and modulus 30 N. How much energy is stored when it is stretched by 0.2 m?

    • A. 1.21.2 J
    • B. 2.42.4 J
    • C. 0.60.6 J
    • D. 66 J

  3. 3. A string has natural length 1.5 m and modulus 60 N. Find its stiffness kk.

    • A. 9090 N m⁻¹
    • B. 0.0250.025 N m⁻¹
    • C. 6060 N m⁻¹
    • D. 4040 N m⁻¹

  4. 4. A 0.2 kg particle on a smooth table is released at extension 0.25 m on a string of natural length 0.5 m and modulus 10 N. Find its speed when the string becomes slack.

    • A. 1.25 m s−11.25\text{ m s}^{-1}
    • B. 2.5 m s−12.5\text{ m s}^{-1}
    • C. 6.25 m s−16.25\text{ m s}^{-1}
    • D. 5 m s−15\text{ m s}^{-1}

  5. 5. A 1.5 kg particle hangs from a string of natural length 0.4 m and modulus 29.4 N. Find the extension in equilibrium (g=9.8g=9.8).

    • A. 0.10.1 m
    • B. 0.40.4 m
    • C. 0.20.2 m
    • D. 0.80.8 m

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