Final answer:
The pump can raise 12 kg of water to a height of 10 m per minute.
Step-by-step explanation:
To calculate the amount of water that the pump can raise to a height of 10 m per minute, we need to first calculate the work done by the pump.
The work done by the pump is given by the equation:
Work = Power x Time
Since we are given the power of the pump as 2 kW and we want to find the amount of water per minute, we can rewrite the equation as:
Work = Power x Time/60
Next, we can calculate the work done by the pump using the equation:
Work = mgh, where m is the mass of the water, g is the acceleration due to gravity, and h is the height.
Since we want to find the amount of water per minute, we can rewrite the equation as:
Work = (mass of water per minute) x g x height
Finally, we can rearrange the equation to solve for the mass of water per minute:
(mass of water per minute) = (Power x Time/60) / (g x height)
Substituting the given values, we get:
(mass of water per minute) = (2 kW x 60 s/60) / (10 m/s² x 10 m)
(mass of water per minute) = 12 kg/min
Therefore, the pump can raise 12 kg of water to a height of 10 m per minute.