Question

A pump is used to raise water to a height of 20m.it transfers 2000kg of water in 15min.calculate power of the pump.(g=10m/s-2)

Answer 1

Hello Mate!

So height till which 2000 kg water is raised is 20 m. In order to go with right solution we must first know what we have to find before taking out the power.

Since Power = Work done / Time where we don't have work done.

We know that work done = Force × displacement

But we also don't have force, so what we have? F = ma ( Second law of motion by Newton ).

F = 2000 kg × 10 m/s²

F = 20000 N

Now putting value of F in workdone formula,

Work done = 20000 N × 20 m

Work done = 400000 J

Now power = 400000 J / 15 min

But SI unit of time is s so, 15 mins = 15 × 60 secs

= 900 seconds

Now power = 400000 J / 900 s

= 444.4 W or 0.4 kW

Hencd power of pump us 444.4 W or 0.4 kW.

Thanks!!!

Have great future ahead!