Water at $15\mathrm{.}0$C $($ $=999\mathrm{.}1$ kg$/$m$3$ and $=1\mathrm{.}138103$ kg$/$m$-$s$)$ is flowing

steadily in a $35\mathrm{.}0-$m$-$long and $5\mathrm{.}0-$cm$-$diameter horizontal pipe made of stainless

steel at a rate of $15\mathrm{.}0$ L$/$s$.$ Determine $($a$)$ the pressure drop, $($b$)$ the head loss,

and $($c$)$ the pumping power requirement to overcome this pressure drop.