Physics 9702 · AS & A Level · Stress and strain

Stress and strain — practice question

(a)[1]

Define the Young modulus for a material in terms of stress per unit strain.

(b(i))[1]

A metal wire P that obeys Hooke’s law is stretched within its limit of proportionality. On Fig. 4.1, sketch how the tensile force $F$ in the wire changes with extension $x$.

(b(ii))[1]

State the name of the quantity shown by the gradient of the line in Fig. 4.1.

(b(iii))[1]

State the name of the quantity shown by the area under the line in Fig. 4.1.

(c)[3]

Another wire Q is made from a metal with twice the Young modulus of the metal used for wire P in (b). Wire Q has the same volume as wire P but double the cross-sectional area of wire P. The two wires are extended by equal tensile forces while still within their limits of proportionality. State and explain how the extension of wire Q compares with the extension of wire P.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: states Young modulus as the stress per unit strain

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