Answer
$Y = 20\times 10^{10}~Pa$
Work Step by Step
We can find the Young's modulus for this metal.
$Y = \frac{F~L_0}{A~\Delta L}$
$Y = \frac{(5000~N)(4.00~m)}{(0.50\times 10^{-4}~m^2)(0.20\times 10^{-2}~m)}$
$Y = 20\times 10^{10}~Pa$
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