Physics 9702 · AS & A Level · Stress and strain

Stress and strain — practice question

(a)[1]

What is the definition of strain?

(b(i))[2]

A wire is intended so that its strain stays below $4.0 \times 10^{-4}$ when a force of $8.0\,\text{kN}$ acts on it. The Young modulus of the metal in the wire is $2.1 \times 10^{11}\,\text{Pa}$. You may assume Hooke’s law applies. For a force of $8.0\,\text{kN}$, calculate the maximum stress for the wire.

(b(ii))[2]

For a force of $8.0\,\text{kN}$, calculate the minimum cross-sectional area of the wire.

(b)

A wire is intended so that its strain stays below $4.0 \times 10^{-4}$ when a force of $8.0\,\text{kN}$ acts on it. The Young modulus of the metal in the wire is $2.1 \times 10^{11}\,\text{Pa}$. You may assume Hooke’s law applies. For a force of $8.0\,\text{kN}$, calculate, for the wire:

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: strain is the extension divided by the original length

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