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Added section about kinetic energy in relativity
Note that if the mass of an object is increased, the increase in kinetic energy increases linearly; if the velocity of an object is increased, the increase in kinetic energy increases quadratically. For example, doubling the mass of an object doubles its kinetic energy; doubling its velocity quadruples its kinetic energy.
Note that if the mass of an object is increased, the increase in kinetic energy increases linearly; if the velocity of an object is increased, the increase in kinetic energy increases quadratically. For example, doubling the mass of an object doubles its kinetic energy; doubling its velocity quadruples its kinetic energy.
== Kinetic Energy in Relativity ==
The energy of a particle in [[relativity]] is:
<math> E = \gamma m_0 c^2 </math>
where <math>\gamma</math> is the Lorentz factor, <math>m_0</math> is the [[rest mass]] and c is the [[speed of light]].
Since this includes the mass energy of the particle, we must subtract a factor of <math> m_0 c^2 </math> to get the energy due to the particle's motion, the kinetic energy, as:
<math> K = (\gamma - 1) m_0 c^2 </math>
==References==
==References==