Problem $1(5$ marks$).$ A pump is used to fill a reservoir at an elevation of $40$ m with a water

flow rate of $2\frac{m^3}{s}.$ The pump inlet diameter is $40$ cm and outlet diameter is $60$ cm $.$ The

combined pump$-$motor is $75$ percent, and the motor efficiency is $90$ percent. Determine the

Electrical Power drawn by the motor and the Shaft Power.

Figure P$1$ Schematic for Problem $1($Note that the Pump is not to scale$)$