Answer:
15mm
Step-by-step explanation:
we are looking for extension
To get Extension you need the original length and the strain both of which you are given
initial length L = 1.00m
the area A = 0.5mm² = 0.5 mm² = 0.5 x 10⁻⁶ m² ( we are changing to metres squared)
E = 2.0 x 10¹¹ n/m², Young's modulus
P = 1500N, the applied tension
Now to Calculate the stress.
σ = P/A (force/area) = (1500 N)/(0.5 x 10⁻⁶ m²) = 3 x 10⁹ N/m²
Also, Let β = the stretch of the string.
Then the strain is
ε = β/L (extension/ original length)
By definition, the strain is ε = σ/E = (3 x 10⁹ N/m²)/(2 x 10¹¹ N/m²) = 0.015
Therefore β/(1 m) = 0.015β = 0.015 m = 15 mm
Answer: 15 mm
