(b) What is the value of Young's modulus for this alloy? i. 5.6 x 107 N/m²

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Chapter1: Units, Trigonometry. And Vectors
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2) A wire made of an unknown alloy hangs from a support in the ceiling. You measure the relaxed length of the wire to be 1.6 m long, and the radius of the wire to be 0.00035 m. When you hang a 5 kg mass from the wire, you measure that it stretches a distance of \(4 \times 10^{-3}\) m. The average bond length between atoms is \(2.3 \times 10^{-10}\) m for this alloy.
Transcribed Image Text:2) A wire made of an unknown alloy hangs from a support in the ceiling. You measure the relaxed length of the wire to be 1.6 m long, and the radius of the wire to be 0.00035 m. When you hang a 5 kg mass from the wire, you measure that it stretches a distance of \(4 \times 10^{-3}\) m. The average bond length between atoms is \(2.3 \times 10^{-10}\) m for this alloy.
(b) What is the value of Young's modulus for this alloy?

i. \(5.6 \times 10^7 \, \text{N/m}^2\)  
ii. \(11.7 \, \text{N/m}^2\)  
iii. \(1.2 \times 10^4 \, \text{N/m}^2\)  
iv. \(5.1 \times 10^{10} \, \text{N/m}^2\)  
v. \(2.0 \times 10^{11} \, \text{N/m}^2\)
Transcribed Image Text:(b) What is the value of Young's modulus for this alloy? i. \(5.6 \times 10^7 \, \text{N/m}^2\) ii. \(11.7 \, \text{N/m}^2\) iii. \(1.2 \times 10^4 \, \text{N/m}^2\) iv. \(5.1 \times 10^{10} \, \text{N/m}^2\) v. \(2.0 \times 10^{11} \, \text{N/m}^2\)
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