Young's modulus (E) is a material parameter that indicates how easily it can stretch and deform. The strain caused in the rod will be 1.7×10⁻⁴ m.
Young's modulus (E) is a material parameter that indicates how easily it can stretch and deform and is defined as the ratio of tensile stress(σ) to tensile strain(ε).
Given that the length of each rod, L is 15 m, the area of cross-section of the rod is 8cm²(0.0008m²), the total weight of two people, F = 1900 N, while the young's modulus for steel to be E=2.0×10¹¹pa.
Now, the strain in the rod will be,
[tex]\delta L = \dfrac{Fl}{AE}\\\\\delta L = \dfrac{1900 \times 15}{0.0008 \times 2 \times ^{11}}\\\\\delta L = 0.000178\\\\\delta L = 1.7 \times 10^{-4}[/tex]
Hence, the strain caused in the rod will be 1.7×10⁻⁴ m.
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