Changes

==Limitations==

==Limitations==

Classical mechanics only breaks down in extreme conditions, such as traveling close to the [[speed of light]], being near extremely high [[gravity]], or dealing with [[subatomic particle]]s. For example, [[special relativity]] gives the correction factor at high speeds as

Classical mechanics breaks down in extreme conditions, such as traveling close to the [[speed of light]], being near extremely high [[gravity]] or dealing with very small distances as are important when dealing with [[subatomic particle]]s.

:γ=<math>\frac{1}{\sqrt{1-\frac{v^2}{c^2}}}</math>

 

where v is the velocity of an object and c is the speed of light.  At 1000 miles per hour, the correction is .999999999999991.

Relativity deals with objects traveling near the [[speed of light]] or near extremely strong gravitational fields, such as [[black holes]].

 

In [[special relativity]], the [[Lorentz factor]], <math> \gamma </math>, can be used to judge whether the difference between classical mechanics and [[relativity]] is significant. A value close to 1 indicates that relativistic effects are negligible.

 

<math>\gamma =\frac{1}{\sqrt{1-\frac{v^2}{c^2}}}</math>

 

where

:<math> v </math> is the [[velocity]] of an object

:<math> c </math> is the [[speed of light]]

 

At 5 miles per second, silar to that of orbital velocity of 18,000 miles per hour, the [[Lorentz factor]] has a value of 1.000000000360219.

[[Category:Mechanics]]

[[Category:Mechanics]]