Question

A water pump raises 50 kg of water through a height of 25m in 5 second.calculate the power which the pump supplies.(take g=10m/s)

Answer 1

you can solve it by using potential energy formula for power
power = mgh / time
50 * 10 * 25 / 5
this turns out to be 2500 watt or 2.5 kw

Answer 2

Height = 25m

Time = 5s

Volume = 50l

${ \orange{ \bf{ Let's \: convert \: volume \:to \:density: }}}$

density = mass / volume

So,

${ \orange{ \bf{ 1m² = 1000l }}}$

${ \orange{ \bf{ density = mass / volume }}}$

1000=mass/(1/1000×50)

mass=1000×50×1/1000

${ \orange{ \bf{ =50kg }}}$

${ \orange{ \bf{W=F=mg=50×10=500 }}}$

P=500×25/5

${ \orange{ \bf{P=2500W \: Ans }}}$