High School Is the time derivate of force equal to the position derivative power?

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The discussion centers on whether the time derivative of force is equivalent to the position derivative of power. It is noted that this concept may seem nonsensical at first glance. However, it is clarified that for a varying force applied at constant speed, the two derivatives can indeed be related. The conversation highlights the importance of understanding the context of force and power in physics. Overall, the relationship between these derivatives is complex and requires careful consideration.
highschoolstudent454
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Is this wrong?
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It is quite nonsensical.
 
highschoolstudent454 said:
Is the time derivate of force equal to the position derivative power?
For a varying force applied at constant speed, yes.
 
For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...

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