Chapter 17, Problem 79GP

Peter catches a 4 2-kg striped bass on a fishing line 0.55 mm in diameter and begins to reel it in. He fishes from a pier well above the water, and his fish hangs vertically from the line out of the water. The fishing line has a Young’s modulus of 5.1 × 10⁹ N/m². (a) What is the fractional increase in length of the fishing line if the fish is at rest? (b) What is the fractional increase in the fishing line’s length when the fish is pulled upward with a constant speed of 2.5 m/s? (c) What is the fractional increase in the fishing line’s length when the fish is pulled upward with a constant acceleration of 2.5 m/s²?