Answer:
The elastic modulus of steel is 222.5 GPa.
Explanation:
Elastic modulus = stress/strain
Stress = Force (F)/area (A)
Strain = extension (e)/length (L)
Elastic modulus = FL/Ae
F = 89,000 N
L = 100 mm = 100/1000 = 0.1 m
A = side of square^2 = (20/1000)^2 = 0.02^2 = 4×10^-4 m^2
e = 0.1 mm = 0.1/1000 = 1×10^-4 m
Elastic modulus of steel = 89,000×0.1/4×10^-4 × 1×10^-4 = 8900/4×10^-8 = 222.5×10^9 Pa = 222.5 GPa
