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Question

A steel wire of length 5 m and cross-sectional area 4 × 10-6 m2 is stretched by 0.5 mm. If the Young's modulus of steel is 2 × 1011 N/m2, what is the stress?

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Explanation

Young's modulus: Y = (Stress) / (Strain). Strain: Strain = ΔL / L = (0.5 × 10-3) / 5 = 1 × 10-4. Stress: Stress = Y × Strain = 2 × 1011 × 1 × 10-4 = 2 × 107 N/m2.

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