Stopping power is a unitless numberless term intended to express the relative and subjective ability of a cartridge to stop a "bad guy".
Discussion of energy and momentum is generally more relevant.
I think "power" is often the wrong term to use anyways since power is technically a rate.
I agree.
The (mis)use of the term "power" is a semantic abuse of a technical term that seems to carry with it the notion that every other variable of terminal performance (placement, expansion, penetration, impact velocity, retained mass, etc) may be ignored.
Look at Hatcher's RSP formula.
RSP = k x M x V x A x F
It is a popular equation put forth by many as one of many means of expressing "stopping power".
It gives a 9mm 124 gr. FMJRN @ 1,100 fps an RSP of 12.151 and a .45 Auto 230 gr. FNJRN @ 850 fps an RSP of 28.151 .
Are we really to believe that the .45 230 gr. FMJRN really possess more than twice the "stopping power", whatever that might be, of the 9mm 124 gr. FMJRN?
This equation suggests that the units of "stopping power" is momentum times cross-sectional area times a dimensionless form factor making the unitary arrangement either lbs∙ft/sec∙in^2 or kg∙m/sec∙m^2 . This unitary arrangement is
not an expression of power.
It is pointless to assign a dimensionless number or percentage (see Marshall & Sanow) based upon an arbitrary set of criteria to a caliber/design and assume that one will see the same performance irrespective of the countless variables that are involved in any shooting.