Question $1$: $(15$ pts$)$ The pump whose characteristics is given in the figure below is used

to pump water form reservoir $A($where $x=5m,y=0m)$ to reservoir $B($where $z=10m,p=$

$5m)$ through $900m$ of $30mm$ diameter pipe. The pipe's friction factor is $0\mathrm{.}015.$ There are

gate valves present at each entrance of the reservoirs with loss coefficients of $0\mathrm{.}2$ and

the entrance loss coefficients are $0\mathrm{.}5.$ Using the information provided in the table, specify

the operating conditions of the pump. What input power is required to drive the pump?