Physics 9702 · AS & A Level · Stress and strain

Stress and strain — practice question

(a)[1]

Define the term strain.

(b(i))[3]

A copper wire that is $4.0\,\text{m}$ long has a constant cross-sectional area of $4.5 \times 10^{-7}\,\text{m}^2$. A tensile force of $18\,\text{N}$ acts on the wire. The wire stretches by $1.4\,\text{mm}$, up to its limit of proportionality. Calculate the Young modulus of the wire.

(b)

A copper wire that is $4.0\,\text{m}$ long has a constant cross-sectional area of $4.5 \times 10^{-7}\,\text{m}^2$. A tensile force of $18\,\text{N}$ acts on the wire. The wire stretches by $1.4\,\text{mm}$, up to its limit of proportionality.

(b(ii))[2]

On Fig. 4.1, sketch a line to represent how stress changes with strain for the wire up to its limit of proportionality.

(c)[2]

A second copper wire has the same length as the wire in (b), but its diameter is larger. Both wires are pulled by a tensile force of $18\,\text{N}$. Use a tick (✓) in each row to complete Table 4.1 and compare the stress and strain in the two wires.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Strain means extension divided by original length

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