Answer :

unit of mass  =  α   kg
unit of length =  β   meters
unit of time   =  γ   seconds

 =>  1 unit of new Energy unit = [ M L² T⁻² ]
       = α β² / γ²     kg m² / sec²
       = α β² / γ²  Joules
SO 5 Joules  will measure  :    5 γ² / (αβ²)    units

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