Halliday, Resnick & Walker — Equilibrium and Elasticity: Problem 37

37 Figure 12-40 shows the stress versus strain plot for an aluminum wire that is stretched by a machine pulling in opposite directions at the two ends of the wire. The scale of the stress axis is set by \( s = 7.0 \), in units of \( 10^7 \text{ N/m}^2 \). The wire has an initial length of \( 0.800 \text{ m} \) and an initial cross-sectional area of \( 2.30 \times 10^{-6} \text{ m}^2 \). How much work does the force from the machine do on the wire to produce a strain of \( 1.00 \times 10^{-3} \)?