Physics 9702 · AS & A Level · Stress and strain

Stress and strain — practice question

Elastic potential energy is stored in a metal wire when it has been stretched elastically.
(a)[2]

Explain what is meant by stretched elastically.

(b)[2]

Demonstrate that the SI units of energy per unit volume are $\text{kg m}^{-1}\text{ s}^{-2}$.

(c)[3]

For a wire stretched elastically, the elastic energy per unit volume $X$ is expressed by $X = C\epsilon^{2}E$, where $C$ is a constant, $\epsilon$ is the strain of the wire, and $E$ is the Young modulus of the wire. Show that $C$ has no units.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Once the load is removed, the wire goes back to its original length, not its original shape.

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