If a wire of length L and cross-sectional area A is stretched by a force F, what
Practice Questions
Q1
If a wire of length L and cross-sectional area A is stretched by a force F, what is the expression for the elongation?
F * L / (A * E)
A * F / (L * E)
E * F / (A * L)
L * E / (A * F)
Questions & Step-by-Step Solutions
If a wire of length L and cross-sectional area A is stretched by a force F, what is the expression for the elongation?
Step 1: Understand that elongation (ΔL) is how much the wire stretches when a force (F) is applied.
Step 2: Recognize that the original length of the wire is L and its cross-sectional area is A.
Step 3: Know that the material of the wire has a property called Young's modulus (E), which measures how much it stretches under a given force.
Step 4: The formula for elongation (ΔL) is derived from the relationship between force, area, length, and Young's modulus.
Step 5: The formula is ΔL = F * L / (A * E), where F is the force applied, L is the original length, A is the cross-sectional area, and E is Young's modulus.
