Calculate the velocity on which the pump will fill

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To calculate the velocity at which the pump fills the water box, the power of the pump (1 kW) is used to determine the work done over time. The work is calculated using the formula for gravitational potential energy, which incorporates mass, gravity, and height (5m). The energy supplied by the pump is partially converted into potential energy to elevate the water. The remaining energy contributes to the kinetic energy of the water, allowing for the calculation of velocity. Understanding these relationships is crucial for determining the pump's efficiency and performance.
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Homework Statement



A water pump of 1 kilowatt of potency supplies a water-box located 5m above of the water-box where the pump is located. Calculate the velocity on which the pump will fill the water-box.

NOTE: Sorry for the bad English.

Homework Equations



potency = work/time

work= mass x gravity x height
 
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The rate at which the pump is doing work - 1 kW - tells us the amount of energy that is supplied to the water per second. Part of this energy is used to raise the water's potential energy. The rest of the energy will then become the ...
 

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