A wire has a diameter of 0.75 mm. It is stretched 0.20% of its original length when a mass of 5.0 kg is hanging from it. What is the Young's modulus of the wire? A) 1.4 x 10¹⁰ N/m² B) 5.6 x 10¹⁰ N/m² C) 1.7 x 10¹¹ N/m² D) 5.6 x 10⁸ N/m² E) 1.4 x 10⁸ N/m²

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Quizplus · Accepted Answer

Young's modulus (Y) is calculated using the formula Y = (F/A) / (ΔL/L), where F is the force, A is the cross-sectional area, ΔL is the change in length, and L is the original length. The force F is the weight of the mass (mg), and the area A is π(d/2)^2. Substituting the given values and solving gives approximately 5.6 x 10^10 N/m^2.

A Wire Has a Diameter of 0