Calculate the work done when a wire of length l and area of cross - section A is made of material of young's Modulus Y is stretched by an amount x?
Added by Caroline M.
Step 1
When the wire is stretched by an amount x, it experiences a stress (force per unit area) given by the Young's modulus formula: Stress = Y * (Strain) Stress = Y * (ΔL / L) Show more…
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Review. A wire of length $L,$ Young's modulus $Y,$ and cross-sectional area $A$ is stretched elastically by an amount AL. By Hooke's law, the restoring force is $-k \Delta L .$ (a) Show that $k=Y A / L .$ (b) Show that the work done in stretching the wire by an amount $\Delta L$ is $W=\frac{1}{2} Y A(\Delta L)^{2} / L$.
A wire of length $L,$ Young's modulus $Y$, and cross-sectional area $A$ is stretched elastically by an amount A $L$. By Hooke's law, the restoring force is $-k \Delta L$. (a) Show that $k=Y A / L$. (b) Show that the work done in stretching the wire by an amount $\Delta L$ is $W=\frac{1}{2} Y A(\Delta L)^{2} / L$.
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