Water $(15$C$)$ flows at $1\mathrm{.}5$ m$/$s through a horizontal run of worn cast iron pipe $($inner diameter $6$ in$).$ Over $300$ m of pipe, determine the head loss and the pressure drop.

$($a$)$ Determine the power $[$W$]$ needed to overcome the head loss.

$($b$)$ Draw the EGL and HGL without pump and with pump. Assume a starting pressure of $98,000$ Pa$,$ gage. Place the pump midway along the $300$ m of pipe.