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The units do work out, as to the validity of the equation:  no idea, but I've
got my doubts.

power = work/time = mass*length*length/time/time/time

Left side:

work = force*distance ; force = mass*acceleration; accel = s/t^2 or s/t/t 
work = {[m*(s/t^2)]*distance}
Power = {[m*(s/t^2)}*distance}/t =

where m = mass 
s  is a unit of length
t is a unit of time

Joe Yakubik