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Moving weight = kinetic energy. Once you have "invested" energy accelerating a vehicle, you can then use that kinetic energy to coast. You lose energy to aero drag and rolling drag -- both of these are a total loss.
This is why aero drag is more important most of the time than weight -- aero drag is a majority of the drag most of the time, and it is a total loss. Kinetic energy can partially used, and if your drivetrain is very efficient and if your drag is low, then weight matters less than if the drivetrain is not efficient and /or the chassis is high drag.
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