Answer:
7.12x10¹⁰ N/m²
Explanation:
The modulus of elasticity (E) is the pressure (P) divided by the deformation (ε), where:
P = F/A₀, where F is the tension and A₀ the initial square cross-section
ε = Δl/l₀, where Δl is the length variation (elongation), and l₀ is the initial length.
A₀ = (0.0165m)² =2.7225x10⁻⁴m²
E = P/ε = F/A₀/Δl/l₀
E = (F*l₀)/(A₀*Δl)
E = (66,700 N * 0.125m)/(2.7225x10⁻⁴m² * 4.3x10⁻⁴m)
E = (8,337.5 N.m)/(1.171x10⁻⁷ m³)
E = 7.12x10¹⁰ N/m²
