A water-powered backup sump pump uses tap water at a pressure   of 3.00 atm (pl = 3patm =...

A water-powered backup sump pump uses tap water at a pressure   of 3.00 atm (pl = 3patm = 3.03 • 105 Pa) to pump water out of a well, as shown in the figure (pwell = patm). This system allows water to be pumped out of a basement sump well when the electric pump stops working during an electrical power outage. Using water to pump water may sound strange at first, but these pumps are quite efficient,. typically pumping out 2.00 L of well water for every 1.00 L of pressurized tap water. The supply water moves to the right in - a large pipe with cross-sectional area A, at a speed v1 = 2.05 m/s. The water then flows into a pipe of smaller diameter with a cross-sectional area that is ten times smaller (A2 = A1/10).

a)      What is the speed v2 of the water in the smaller pipe, with area A2?

b)    What is the pressure p2 of the water in the smaller pipe, with area A2?

c)    The pump is designed so that the vertical pipe, with cross-sectional area A3, that leads to the well water also has a pressure of p2 at its top. What is the maximum height,

h, of the column of water that the pump can support (and therefore act on) in the vertical pipe?