Answer Happy

Basements that are prone to flooding are generally equipped witha sump pump, as illustrated in the image. (For purposes ofillustration, the house above the basement has been removed, anddimensions have been distorted.) Water is diverted from thefoundation, or wherever it seeps into the basement, to a small wellin the floor. When needed, the submerged pump automaticallyswitches on, pumping the water a height HH above the pumpthrough a pipe with diameter dd. The pipe carries the waterover the basement wall where it loses height hh andconnects to a wider pipe, with diameter DD, parallel to theground. (Note the use of both lower-case and upper-case letters.)When the pump is operating, the flow rateis 0.589L/s0.589L/s with an output pressureof 1.67×105Pa1.67×105Pa.
A) The water enters the pipe with an insidediameter d=3.58cmd=3.58cm and rises to a maximumheight H=2.04mH=2.04m above the pump. What is thepressure, in pascals, at the maximum height? (Neglect frictionallosses.)
B) The pipe carries the water over the basement wall whereit loses h=0.51mh=0.51m in height and widens to adiameter of D=6.66cmD=6.66cm. What is the pressure, inpascals, in the wider pipe? (Neglect frictional losses.)