Answer
$5.2\times10^{-4}\,m$
Work Step by Step
Given/known: $F=890\,N$, $L_{0}=9.1\,m$, $A=\pi r^{2}=\pi (0.50\times10^{-2}m)^{2}$, $Y=2.0\times10^{11}\,N/m^{2}$ (Young's modulus of steel).
Rearranging Equation 10.17, we have
$\Delta L=\frac{FL_{0}}{AY}=\frac{890\,N\times9.1\,m}{\pi (0.50\times10^{-2}m)^{2}\times2.0\times10^{11}\,N/m^{2}}=5.2\times10^{-4}\,m$
