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'''Planck momentum''' is the unit of [[momentum]] in the system of [[natural units]] known as [[Planck units]]. It has no commonly used symbol of its own, but can be denoted by <math>m_\text{P} c</math>, where <math>{m_\text{P}}</math> is the [[Planck mass]] and <math>c</math> is the [[speed of light]] in a [[vacuum]]. Then
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:<math>m_\text{P} c = \frac{\hbar}{l_\text{P}} = \sqrt{\frac{\hbar c^3}{G}} \approx 6.52485\text{ kg m/s},</math>
where
 
:<math>\hbar</math> is the reduced [[Planck's constant]],
:<math>{l_\text{P}}</math> is the [[Planck length]],
:<math>G</math> is the [[gravitational constant]].
 
In SI units Planck momentum is approximately 6.5 kg m/s. It is equal to the [[Planck mass]] multiplied by the [[speed of light]], usually associated with the momentum of primordial photons in some prevailing [[Big Bang]] models. Unlike most of the other [[Planck units]], Planck momentum occurs on a human scale. By comparison, running with a five-pound object (10<sup>8</sup>×Planck mass) at an average running speed (10<sup>-8</sup>×speed of light in a vacuum) would give the object Planck momentum. A 70 kg human moving at an average [[Preferred walking speed|walking speed]] of 1.4 m/s (5.0 km/h; 3.1 mph) would have a momentum of about 15 <math>m_\text{P} c</math>.
 
== Notes and references==
{{Reflist|2}}
 
== See also ==
*[[Natural units]]
*[[Planck's constant]]
 
 
{{Planck's natural units}}
{{Portal bar|Physics}}
 
[[Category:Natural units]]
 
{{physics-stub}}

Latest revision as of 04:29, 13 March 2014

Greetings. The author's name is Phebe and she feels comfortable when individuals use the full name. To collect coins is 1 of the issues I adore most. Bookkeeping is my occupation. South Dakota is exactly where me and my husband live and my family members loves it.

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