An aluminum wire is suspended from the ceiling and hangs vertically. How long must the wire be before the stress at its upper end reaches the proportionality limit, which is
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An aluminum $\left(\rho=2.7 \mathrm{g} / \mathrm{cm}^{3}\right)$ wire is suspended from the ceiling and hangs vertically. How long must the wire be before the stress at its upper end reaches the proportionality limit, which is $8.0 \times 10^{7} \mathrm{N} / \mathrm{m}^{2} ?$
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