A $4\mathrm{.}40$ m long $1$:$50$ scale model ship, with a wetted surface area of $5\mathrm{.}00m^2,$ is tested at a speed of $1\mathrm{.}2\frac{m}{s}$ in fresh water. At that speed the total resistance is measured at $24\mathrm{.}600$ N $.$ Data for the hull form indicates that the form factor, $(1+k),$ is $1\mathrm{.}14.$

Calculate the total resistance for the full size ship at the corresponding speed in sea water, assuming that air drag and appendage drag are negligible.

You may assume the following:

Fresh water density $,1000k\frac{g}{m^3},$ Sea water density $,1025k\frac{g}{m^3}$

Fresh water viscosity $1\mathrm{.}00{10}^{-6}\frac{m^2}{s}$ Sea water viscosity $1\mathrm{.}06{10}^{-6}\frac{m^2}{s}$

$C_F=\frac{0\mathrm{.}075}{(logRn-2{)}^2}$