$5-83$ Water flows at a rate of $0\mathrm{.}035\frac{m^3}{s}$ in a horizontal pipe whose diameter is reduced from $15cm$ to $8cm$ by a reducer. If the pressure at the centerline is measured to be $480$kPa and $445$kPa before and after the reducer, respectively, determine the irreversible head loss in the reducer. Take the kinetic energy correction factors to be $1\mathrm{.}05.$ Answer: $1\mathrm{.}18m$b$)$ into Prolog with the expressive power limited to propositional logic? $(10$ points$)$