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'''Kinetic energy''' represents the [[energy]] associated with the [[motion]] of an object.<ref>Serway and Beichner, ''Physics for Scientists and Engineers'', Fifth Edition</ref> It is defined as the work done by a force to accelerate that object from rest to some speed <math> v </math>, in the absence of any other [[force|forces]] acting upon the object. Kinetic energy is a scalar and has the same units as work (i.e. [[Joule]]).  
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'''Kinetic energy''' represents the [[energy]] associated with the [[motion]] of an object.<ref>Serway and Beichner, ''Physics for Scientists and Engineers'', Fifth Edition</ref> It is defined as the work done by a force to accelerate that object from rest to some speed <math> v </math>, in the absence of any other [[force]]s acting upon the object. Kinetic energy is a scalar and has the same units as work (i.e. [[Joule]]).  
    
==Classical mechanics==
 
==Classical mechanics==
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</math>
 
</math>
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For speeds encountered everyday, which are a lot less than that of [[speed of light|light] (such that <math>v<<c</math>), all terms apart from the first are very small and can be neglected. Hence, the formula reduces to:
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For speeds encountered everyday, which are a lot less than that of [[speed of light|light]] (such that <math>v<<c</math>), all terms apart from the first are very small and can be neglected. Hence, the formula reduces to:
    
<math>K \approx \frac{1}{2} m_0 v^2</math>
 
<math>K \approx \frac{1}{2} m_0 v^2</math>
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