$10-42.$ Sewage, assumed to be water where $=998\mathrm{.}3k\frac{g}{m^3},$

is pumped from the wet well using a $50-mm-$diameter pipe.

Determine the maximum discharge from the pump without

causing cavitation. The friction factor is $f=0\mathrm{.}026.$ The

$($gage$)$ vapor pressure for water is $-98\mathrm{.}7$kPa. Neglect the

friction losses in the submerged segment of the pipe. The answer is $0\mathrm{.}0145$ m$^3/$s$,$ but I can't figure out how to get there. Please show all work