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IMAGINETHINGS
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Homework Statement
I stumbled upon some thought, suppose we have an electronic fan cart like this https://i.ytimg.com/vi/Zy7JQ0lwj1w/maxresdefault.jpg
My question is, when I turn it on and it continue to move, is the power expanded by the fan cart constant?
I suspect it is not because it is accelerating, but based on my researches in the internet, the majority of the reports I've read said that it is constant?
Homework Equations
The Attempt at a Solution
Based on my researches, almost all answers about this question said that the POWER is CONSTANT because of the BATTERY, which did not convinced me because I know that a battery supplies a constant voltage (not power W) and the power (p=vi) is also dependent on the current passing through the motor (and according to my research as the load of an electric motor increase, the current passing through it also increase, therefore power increases).
I also tried to get the derivative of the Power equation P = F*v, to see if the Power changes, which lead to dP/dt=F*a (which is non-zero, therefore the power changes)
Also from the equation itself that, P=F*v, we will also see that velocity increases so Power also increases.
Am I right? Is power not constant in this thing?