Physics 9702 · AS & A Level · Stress and strain

Stress and strain — practice question

(a)[1]

Define Young modulus in terms of stress and strain.

(b(i))[3]

The Young modulus of steel is $1.9 \times 10^{11}\,\text{Pa}$. The Young modulus of copper is $1.2 \times 10^{11}\,\text{Pa}$. A steel wire and a copper wire each have the same length and cross-sectional area. Equal forces are applied to the two wires. Use the definition of the Young modulus to determine the ratio $$\frac{\text{extension of the copper wire}}{\text{extension of the steel wire}}.$$

(b(ii))[1]

The two wires are each stretched by a force. Both wires obey Hooke’s law. On Fig. 3.1, sketch a graph for each wire to show how force varies with extension. Label the steel line $S$ and the copper line $C$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Young modulus is defined as stress divided by strain.

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