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Question

A steel rod of length 0.5 m and cross-sectional area 1 × 10-5 m2 is compressed by a force of 500 N. If the strain is 5 × 10-4, what is the Young's modulus?

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Explanation

Young's modulus: Y = Stress / Strain. Stress: Stress = F / A = 500 / (1 × 10-5) = 5 × 107 N/m2. Strain: 5 × 10-4. Substitute: Y = (5 × 107) / (5 × 10-4) = 1 × 1011 N/m2.

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