Water at $15$C $($ $=999\mathrm{.}1$ kg$/$m$3$ and $=1\mathrm{.}138103$ kg$/$m$$s$)$ is flowing steadily in a $30-$m$-$long and $6-$cm$-$diameter horizontal pipe made of stainless steel at a rate of $10$ L$/$s$.$ Determine $($a$)$ the pressure drop, $($b$)$ the head loss, and $($c$)$ the pumping power requirement to overcome this pressure drop