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Unlike most of the other Planck units, Planck momentum occurs on a human scale.
The upshot is that Lorentz-boosting a momentum will never increase it above the Planck momentum.
In SI units Planck momentum is approximately 6.5 kg m/s.
Planck momentum is the unit of momentum in the system of natural units known as Planck units.
By comparison, running with a five-pound object (10xPlanck mass) at an average running speed (10xspeed of light in a vacuum) would give the object Planck momentum.