Question

a water pump raises 50 litres of water through a height of 25 m in 5 s. Calculate the power which the pump supplies. (take g=10nkg and density of water =1000 kg m

Answer 1

Given, 1litre =1000kg m
So, 50L=50*1000 =50,000
Now, power=work/time
Or power =mgh/time
That is, power=(50000*10*25)/5
Power=2,50,000 W
Or power=2,50,000/1000
=250kwh

Answer 2

Height = 25m

Time = 5s

Volume = 50l

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

density = mass / volume

So,

${ \red{ \bf{ 1m² = 1000l }}}$

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

1000=mass/(1/1000×50)

mass=1000×50×1/1000

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

${ \red{ \bf{W=F=mg=50×10=500 }}}$

P=500×25/5

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