Water at $10$C$=999\mathrm{.}7$ kg$/$m$3$ and $=1\mathrm{.}307\backslash$times $103$kg$/$m$$s$)$ is flowing steadily in a $0\mathrm{.}14$ cm diameter, $15$ m long pipe at an average velocity of $1\mathrm{.}0$ m$/$s$.$ Determine the following:

a$.$ The pressure drop

b$.$ The head loss

c$.$ The pumping power requirement to overcome this pressure drop