Water flows through the pipe system shown in the figure at a rate of $8\mathrm{.}5{10}^{-3}\frac{m^3}{s}.$ Determine the power added to the water by the pump to make the pressure the same between the locations $(1)$ and $(2).$ The length of the pipe between these two locations is $25$ m $.$ The pipe diameter is $5$ cm and its roughness is $0\mathrm{.}005$ cm $.$ The loss coefficient $K_L$ for each of the five filters is $6\mathrm{.}0.$ The density and viscosity of water are $1000k\frac{g}{m^3}$ and $0\mathrm{.}001k\frac{g}{m}*sec.$ Refer to the Moody chart in Ch$.8.$