$1.$ A two$-$dimensional square channel redirects a water flow from horizontal uniform to vertical nonuniform. The pipe width h$=75\mathrm{.}5$ mm$.$ The pressure is $185$ kPa $($abs$)$ at the inlet and at atmospheric pressure at the exit with vmax$=2$vmin. The mass of the pipe is M$=2\mathrm{.}05$ kg$.$ The internal volume of the pipe is V$=0\mathrm{.}00355$ m$3.$ a$.$ Find vmin if U$=7\mathrm{.}5$ m$/$s $(15$ pts$).$b$.$ Calculate the force exerted by the pipe assembly on the supply