A steel wire with a length of 2 meters and a cross-sectional area of 0.01 cm² is stretched with a force of 2000 N. Calculate the stress and strain in the wire and determine its Young's modulus.
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To calculate the stress in the wire, we use the formula:
Stress = Force / Area
where
Force = 2000 N (given)
Area = 0.01 cm² = 0.0001 m² (since 1 cm² = 0.0001 m²)
Stress = 2000 N / 0.0001 m² = 20,000,000 N/m² or 20,000,000 Pa
To calculate the strain in the wire, we use the formula:
Strain = Change in length / Original length
The change in length is not given, so we cannot calculate the strain.
To determine the Young's modulus, we can rearrange the stress-strain formula to find:
Young's modulus (E) = Stress / Strain
Again, since we don't have the strain, we cannot calculate the Young's modulus in this case.
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