FYKOS Year 29 Series 3 Problem 1 — a crazy fish · FYKOS 29 #29.3.1

The key insight is that the fish's kinetic energy dissipates entirely into heat through drag friction—the work done against water resistance converts directly to thermal energy. You need to find the drag force on each fish using $F_{\text{drag}} = \frac{1}{2}C\rho S v^2$, calculate the power dissipated by both fish swimming continuously, then use the heat capacity of water to find how long it takes to raise the temperature by 1°C.

The key insight is that the fish's kinetic energy dissipates entirely into heat through drag friction—the work done against water resistance converts directly to thermal energy. You need to find the drag force on each fish using $F_{\text{drag}} = \frac{1}{2}C\rho S v^2$, calculate the power dissipated by both fish swimming continuously, then use the heat capacity of water to find how long it takes to raise the temperature by 1°C.