Water flows through a horizontal conduit with circular cross$-$section at a mass flowrate of

$0\mathrm{.}15$ kg$/$s$.$ The inlet diameter of the conduit is $0\mathrm{.}1$ m and in the middle section the diameter

decreases to $0\mathrm{.}01$ m$.$ Determine:

$($a$)$ The average velocity of the water at the inlet and at point $2($consider water density of

$1000$ kg$/$m$3).$

$($b$)$ The pressure difference between points $1$ and $2($the frictional pressure drop is

negligible$).$