We know that
Young's modulus (Y) = stress / strain
where stress = force (F) / area (A)
and
strain = change in length (L) / original length (L)
Young's modulus of steel is 2e11 N/m
so,
Y = F / A / L / L
Y = FL / AL
2e11 = F * 10 / pi * 5e-32 * 6e-3
F = 9424.77 N
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