An electric pump has 2KW power.How much water will the pump lift every minute to a height of 10meter?
2kW = 2000 J/s = 2000 Nm/s
Now just convert that to kg
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To find out how much water the electric pump will lift every minute, we need to consider two factors: the power of the pump and the height it needs to lift the water.
The power of the pump is given as 2 kW (kilowatts). Power is defined as the rate at which work is done or energy is transferred. In this case, the power indicates how much work the pump can do in a unit of time.
The work done by the pump can be calculated using the formula:
Work = Power × Time
In this case, we want to find out how much work the pump can do in a minute. So, we need to convert the power from kilowatts to watts (1 kilowatt = 1000 watts) and multiply it by the time in seconds (1 minute = 60 seconds).
Power = 2 kilowatts = 2 × 1000 watts = 2000 watts
Time = 1 minute = 1 × 60 seconds = 60 seconds
Using the formula, we can calculate the work done by the pump in lifting water:
Work = Power × Time
Work = 2000 watts × 60 seconds = 120,000 joules
Now, to find out how much water the pump can lift to a height of 10 meters, we need to consider the potential energy. The potential energy of an object is defined as the energy it possesses due to its position or height above the ground. In this case, the potential energy of the lifted water can be calculated using the formula:
Potential Energy = Mass × Gravitational Acceleration × Height
We can rearrange the formula to solve for the mass of the water:
Mass = Potential Energy / (Gravitational Acceleration × Height)
Gravitational Acceleration is a constant value, approximately 9.8 m/s².
Substituting the known values:
Potential Energy = 120,000 joules
Gravitational Acceleration = 9.8 m/s²
Height = 10 meters
Mass = 120,000 joules / (9.8 m/s² × 10 meters)
Mass = 120,000 joules / 98 N·m/kg
Mass ≈ 1224.49 kg
Therefore, the electric pump will lift approximately 1224.49 kilograms (or liters, assuming the density of water is approximately 1 kg/L) of water every minute to a height of 10 meters.