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== Kinetic Energy==
== Kinetic Energy==
--A WORK IN PROGRESS BY JASON MORCOS--
--A WORK IN PROGRESS BY JASON MORCOS--
Energy is based in whole on Einstein's principle of E=MC^2. At its base it is the concept of how objects interact with their surroundings, their natural energy, or rest energy, the energy that they create when in motion(Kinetic energy) and how energy can change given different interactions which are based on einsteins principle.  
Objects in motion have energy associated with them. This energy of motion is called kinetic energy. Kinetic energy, often abbreviated as KE, is usually given in the standard S.I. units of (kilo) Joules.


===A Mathematical Model===
===A Mathematical Model===
There are <math>E=lambdamc^2</math> and
The relativistic equation for kinetic energy according to Einstein's Theory of Relativity is <math> KE=mc²(\frac{1}{sqrt(1-\frac{v²}{c²})} -1)</math>. However, for cases where an object's velocity is far less than the speed of light (3e8 m/s), one can use the simplified kinetic energy formula: <math>KE=\frac{1}{2}mv^2</math>. In most cases the simplified kinetic energy formula gives a result with only minimal error. However, for near light speed calculations, such as those involving subatomic particles such as electrons, protons, or photons, the relativistic equation must be used. Usually we think of the simplified kinetic energy formula as the way to calculate the kinetic energy of an average object.
<math> E=mc^2</math> which reprsents the rest energy. taken together the kinetic energy becomes the overall energy- rest energy. Due to the complexity of this equation, it maybe easier to use the equation <math> 1/2mv^2</math> if the object is not traveling near the speed of light. This equation is applicable to everyday object that we see and more applicable for the "average" situation.  
 
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Revision as of 10:56, 19 October 2015

The energy of motion is kinetic energy.

Kinetic Energy

--A WORK IN PROGRESS BY JASON MORCOS-- Objects in motion have energy associated with them. This energy of motion is called kinetic energy. Kinetic energy, often abbreviated as KE, is usually given in the standard S.I. units of (kilo) Joules.

A Mathematical Model

The relativistic equation for kinetic energy according to Einstein's Theory of Relativity is [math]\displaystyle{ KE=mc²(\frac{1}{sqrt(1-\frac{v²}{c²})} -1) }[/math]. However, for cases where an object's velocity is far less than the speed of light (3e8 m/s), one can use the simplified kinetic energy formula: [math]\displaystyle{ KE=\frac{1}{2}mv^2 }[/math]. In most cases the simplified kinetic energy formula gives a result with only minimal error. However, for near light speed calculations, such as those involving subatomic particles such as electrons, protons, or photons, the relativistic equation must be used. Usually we think of the simplified kinetic energy formula as the way to calculate the kinetic energy of an average object.


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What are the mathematical equations that allow us to model this topic. For example [math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.

A Computational Model

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