Consider a steel guitar string of initial length L=1.00L=1.00 meter and cross-sectional area A=0.500A=0.500 square millimeters. The Young's modulus of the steel is Y=2.0×1011Y=2.0×1011 pascals. How far ( ΔLΔLDelta L) would such a string stretch under a tension of 1500 newtons?

The extent to which it would stretch  is

Explanation:

From the question we are told that

    The initial length is  

     The area is  

     The Young modulus of the steel is  

     The tension   is  

The Young modulus is mathematically represented as

Where is the stress which is mathematically represented as

Substituting values

And  e is the strain which is mathematically represented as

Where The extension of the steel string

Substituting these into the equation above

Substituting values  

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explanation: