9. 0.3710.75 points I Previous Answers Tipler6 12.PO46. My Notes Ask Your Teache

Question

9. 0.3710.75 points I Previous Answers Tipler6 12.PO46. My Notes Ask Your Teacher The steel E string of a violin is under a tension of 42.0 N. The diameter of the string is 0.200 mm and the length under tension is 35.0 cm. Find the unstretched length of this string and the work needed to stretch the string. Give your answers with the correct number of significant digits length 34.7 work 0.063 The stretch in the wire is related to Young's modulus. The work required to stretch the string is equal to the potential energy stored in the string. Use Hooke's law and Young's modulus to show that, if the wire is considered to be a spring, the force constant is related to Young's modulus, the cross-sectional area of the string and the length of the string. By treating the wire as a spring you can calculate the energy stored in the wire. eBook G Show My Work (optional

Explanation / Answer

Stress = Y strain

F / A = Y (deltaL) / L

F = ( Y A / L) deltaL

k = Y A / L = (200 x 10^9) (pi x (0.1 x 10^-3)^2) / 0.3477 = 18070.71 N/m

energy stored = k (deltaL)^2 /2

= (18070.71) (0.35 - 0.3477)^2 /2

= 0.048 J

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