Answer:
7.255 × 10 ⁻³ m
Explanation:
Using the formula
elastic modulus = stress / strain
strain = stress / elastic modulus
stress = F / A
A = πr² = 3.142 × ( 2.3 mm / 2 × ( 1 m / 1000 mm))² = 0.0000041553 m²
Stress = 260 N / 0.0000041553 m² = 62570768.14 N/m²
strain = 62570768.14 N/m² / 207 × 10 ⁹ N/m² = 3.023 × 10 ⁻⁴
strain = ΔL / L
where L = 2.6 × 10 ⁴ mm = 2.6 × 10 ⁴ mm × 1 m / 1000 mm = 26 m
3.023 × 10 ⁻⁴ = ΔL / 26 m
ΔL = 3.023 × 10 ⁻⁴ × 26 m = 7.86 × 10 ⁻³ m
