From Hooke's law, the force constant of the wire is 3.0 * 10^5 N/m while the Young Modulus is 6.4 * 10^7 .
According to Hooke's law, the force is directly proportional to the extension of the wire.
Given that;
F = Ke
F = 240N
e = 0.8 mm or 0.0008m
K = F/e
K = 240N/0.0008m
K = 3.0 * 10^5 N/m
Now;
Young Modulus = 240N/(3.14 * (1.5 * 10^-3)^2)/0.0008m/1.5 * 10^-3
= 6.4 * 10^7
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