An angler hangs a 4.50-kg fish from a vertical steel wire

Chapter 11, Problem 11.101

(choose chapter or problem)

An angler hangs a 4.50-kg fish from a vertical steel wire 1.50 m long and \(5.00 \times 10^{-3} \mathrm{~cm}^{2}\) in cross-sectional area. The upper end of the wire is securely fastened to a support. (a) Calculate the amount the wire is stretched by the hanging fish. The angler now applies a force \(\overrightarrow{\boldsymbol{F}}\) to the fish, pulling it very slowly downward by 0.500 mm from its equilibrium position. For this downward motion, calculate (b) the work done by gravity; (c) the work done by the force \(\vec{F}\) (d) the work done by the force the wire exerts on the fish; and (e) the change in the elastic potential energy (the potential energy associated with the tensile stress in the wire). Compare the answers in parts (d) and (e).