It's always been said that the work required to lift a weight up to some defined distance is the same wether you take 1 second or 1 minute to do it. What changes is the power. But, in order to do the process of lifting the weight in less time than 1 minute, we ought to increase the acceleration. If F=ma, increasing acceleration implies increasing the force. If W=Fd, increasing the force implies increasing the work. So, in order to do the process of lifting more rapidly, we must to increase the work. Therefore, if P=W/t, we cannot decrease the time without increasing the work. Is this right?

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