A wire of length L, Youngs modulus Y, and cross sectional area A is stretched elastically by an amount L By Hookes law (Section 7 4), the restoring force is k L (a) Show that k YA L (b) Show that the work done in stretching the wire by and amount L is W YA (L) 2 L ...

A wire of length L, Youngs modulus Y, and cross-sectional area A is stretched elastically by an

Question:

A wire of length L, Young’s modulus Y, and cross-sectional area A is stretched elastically by an amount ΔL. By Hooke’s law (Section 7.4), the restoring force is ─ k ΔL.
(a) Show that k = YA/L.
(b) Show that the work done in stretching the wire by and amount ΔL is W = ½ YA (ΔL) 2/L