Power & Cost of Raising Ton/Meter/Minute

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The discussion focuses on calculating the power needed to raise one ton (1000 kg) per meter per minute, emphasizing the conversion of energy into potential energy. The formula for power is defined as the rate of change of potential energy over time, expressed as power = dU/dt. Participants are encouraged to derive the potential energy function U with respect to time and differentiate it accordingly. Additionally, a kWh figure is requested to estimate the cost associated with this energy expenditure. Resources on power in physics are provided for further reference.
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I require information on the power required to raise each ton (1000 kg) per meter per minute and the fomula for working this out. To determine the cost of doing this work a kWh figure would be appreciated.
 
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In this case, the energy you supply is converted into potential energy.

Therefore, power = dU/dt where U is the potential energy

Find the function of U with respect to t and differentiate.
 
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