Sorry, energy delivered is not purely proportional to head weight, but it is highly dependant on it.
If you have a 10,000 Watt peak output motor attached to a very light axe, so that it only took only 1 millisecond to fire, then there is no way that it can deliver more than 10 Joules of energy.
Whereas, if you connected it to a very heavy axe, so that it took 0.5 secs to fire, then it has the potential to deliver up to 5000 Joules.
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