Solving the Water-Lifting Puzzle: An Analysis of Efficiency and Output

In summary, the farmer uses a pump to lift water from a river to an arable land 5.0m higher than the river. The pump uses an electrical effect of 1.0kW, but only 65% of that is used for lifting. A) The lifting work is 39kJ. B) To determine how much water is pumped up during a minute, you can use the fact that 650 J of energy is used every second to lift water and solve for the mass of water using the equation mgh. The answer can be in either kg or m3. The energy required to lift a ball of mass m to height h can also be found using the same equation.
  • #1
Izekid
40
0
A farmer uses a pump to lift water from a river to a arable land who lies 5.0m higher than the river. The pump exhaust an electrical effect of 1.0kW but only 65% is used to do the lifting. ok A) I have resolved the lifting work is 0,65*60 = 39kJ

But B) is harder,,,, how much water is pumped up during a minute ...?

I have no idea how to solv this please help me
 
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  • #2
In A) you've apparently solved how much work is used to lifting the water a minute.
During this minute, how much water is lifted?
Is the anwer in kg or m3? Doesn't really matter, you know their relation.

What is the energy required to lift a ball of mass m to height h?
 
  • #3
You know that 65% of the pumps power (1 kW) is used to lift water.
This means that every second, 650 J of energy is used by the pump to list water, multiply by 60 to get energy per minute.
You know how much energy it will take to lift m kilograms of water h distance up against gravity g (mgh), since in this problem h and g are givens/constants, so just solve for m.
 

FAQ: Solving the Water-Lifting Puzzle: An Analysis of Efficiency and Output

What is the purpose of "Solving the Water-Lifting Puzzle"?

The purpose of this study is to analyze the efficiency and output of different methods for lifting water, in order to identify the most effective and sustainable solution.

What methods were used to lift water in this study?

The study compared three different methods for lifting water: a manual pump, a motorized pump, and a solar-powered pump. Each method was tested for efficiency and output.

How was efficiency measured in this study?

Efficiency was measured by calculating the amount of water lifted per unit of energy (joules) used. This allowed for a direct comparison of the three methods and their effectiveness in lifting water.

What were the main findings of the study?

The study found that the solar-powered pump was the most efficient and sustainable method for lifting water, followed by the manual pump and then the motorized pump. It also showed that the efficiency and output of the pumps were affected by various factors such as weather conditions and maintenance.

What are the potential real-world implications of this study?

This study has the potential to inform and improve water-lifting practices in areas with limited access to electricity. It also highlights the importance of considering factors such as energy efficiency and sustainability when choosing a water-lifting method.

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