Elastic energy and the work-energy principle

Elastic energy and the work-energy principle Quiz

Spec 3.2 · Edexcel A-Level Further Maths: Quiz

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  1. 1. A light string has λ=30\lambda=30 N and natural length 0.50.5 m. Find the elastic energy when its extension is 0.10.1 m.

    • A. 0.60.6 J
    • B. 0.30.3 J
    • C. 33 J
    • D. 0.150.15 J

  2. 2. A string with λ=20\lambda=20 N and natural length 22 m is stretched to a length of 33 m. Find the elastic energy.

    • A. 1010 J
    • B. 2020 J
    • C. 2.52.5 J
    • D. 55 J

  3. 3. For a string with λ2l=25\frac{\lambda}{2l}=25 N m−1^{-1}, find the work done in increasing the extension from 0.20.2 m to 0.40.4 m.

    • A. 33 J
    • B. 44 J
    • C. 11 J
    • D. 88 J

  4. 4. A particle of mass 0.50.5 kg hangs on a string with l=1l=1 m and λ=49\lambda=49 N and is released from rest at the fixing point OO. Which equation gives the greatest extension xx (g=9.8g=9.8)?

    • A. 4.9x=49x224.9x=\frac{49x^2}{2}
    • B. 4.9(1+x)=49x24.9(1+x)=49x^2
    • C. 4.9(1+x)=49x224.9(1+x)=\frac{49x^2}{2}
    • D. 4.9(1+x)=49x22(1+x)4.9(1+x)=\frac{49x^2}{2(1+x)}

  5. 5. A 0.20.2 kg particle is released on a smooth table from extension 0.30.3 m, with λ=12\lambda=12 N and l=0.6l=0.6 m. Find its speed when the string goes slack.

    • A. 2.122.12 m s−1^{-1}
    • B. 33 m s−1^{-1}
    • C. 99 m s−1^{-1}
    • D. 4.244.24 m s−1^{-1}

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