The Planck unit of momentum is
mPc = Planck mass×c = SQRT (h-bar c3/G).
It is exceptional among the Planck quantities in being ordinary human scale—neither extremely large or extremely small as are many of the other natural units. You could give a 2 kilogram object the natural unit of momentum by running with it. Ordinary running speed is about 10-8c(6.7 mph) and 108 times Planck mass is 2.2 kilograms (nearly 5 pounds). So running with a five pound bag of flour would give it something close to Planck momentum.
According to prevailing models of the Big Bang a typical energy for primordial photons was the Planck unit energy, SQRT (h-bar c5/G), and the momentum associated with such a photon would have been the Planck unit. An extremely large momentum for a photon, though not for a bag of flour.
In metric terms, mPc = 6.525 kilogram meter per second.
Another way to calculate the Planck momentum is as unit impulse—unit force multiplied by unit time. The Planck unit force is
FP = c4/G.
The Planck unit time is
tP = SQRT (h-bar G/c5).
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