A motor pump lifts ( 6 ) tonnes of water from a well of depth ( 25 ~m ) to the first floor of height ( 35 ~m ) from the ground floor in ( 20 ) minutes. The power of the pump (in ( kW ) ) is: ( [ g =10 ~ms ⁻² ] )

Step-by-step solution

Given, mass of water =6 tonnes =6 1000 ; depth of well =25 ~m ; height of first floor =35 ~m ; time =20 minutes =20 60 ~s Power of pump = work done time = mgh time Power = 6 1000 10 (25+35) 20 60 =3000 ~W Therefore, power of pump is 3 ~kW