How much water a pump of 2kw can raise in one minute to a height of 10 m, (Take g =10m/s2 )

Explanation

The work done by the pump is given by the formula:Work=Power×TimeIn this case, the power of the pump is given as 2 kW, and we need to find the work done in lifting water to a height of 10 m in one minute.First, let's convert the power from kilowatts to watts (1 kW = 1000 W):Power=2 kW×1000 W/kW=2000WNow, we can use the formula for work done:Work=Power×TimeSince the time is given as one minute, we need to convert it to seconds (1 minute = 60 seconds):Time=1 minute×60 seconds/minute=60Now, we can calculate the work done:Work=2000 W×60 s=120000 JoulesThe potential energy gained by lifting the water is given by:Potential Energy=Mass×g×HeightSince Potential Energy=Work Done, we can equate the two expressions:Mass×g×Height=120000JoulesNow, we can solve for the mass of water:Mass=120000 Joules/gxheightSubstitute the given values (g = 10 m/s², Height = 10 m):Mass=120000 Joules/10 m/s²×10 m=1200 kgFinally, convert the mass from kilograms to liters (1 kg of water = 1 liter):Volume (liters)=1200 liters