How much water a pump of can raise in one minute to a height of . Take ?
Step 1: Given
Power
Time taken
Height
Acceleration due to gravity
Step 2: Derive the formula
We know that power is defined as the rate of doing work, If is the work done,
Also,
Where is the force and is the height.
Therefore,
Where is the mass and is the acceleration due to gravity.
Substituting these in equation we get,
Step 3: Calculate the mass
Upon substituting the values in equation we get,
Hence, the pump can lift of water.