Source / pinned edition
Relativistic Energy
Source of package openstax.relativity · OpenStax University Physics, ch. 5 Relativity, module m58572
- work
- urn:openstax:clir:relativity#M58572
- number
- OpenStax University Physics, ch. 5 Relativity, module m58572
- kind
- urn:openstax:clir:relativity#treatise
m58572/index.cnxml at commit d0ed34a (main, 2026-06-11)
- edition
- urn:openstax:clir:relativity#M58572_MAIN
- language
- en
- officiality
- official
- materialisation
- PINNED_OFFICIAL_BYTES
- life cycle
- adopted: 2026-06-11
Publications
| URI | Type | documentHash | Retrieved |
|---|---|---|---|
| https://raw.githubusercontent.com/openstax/osbooks-university-physics-bundle/d0ed34a5851119a42e3d972dfc0ff49e4663977c/modules/m58572/index.cnxml | application/xml; charset=utf-8 | sha256:e661aa8217f9c4e1f62d0b3530b4b0d832b55ca8e221a336e3b6c5849b2ffc02 | 2026-09-06T00:00:00Z |
Fragments — 5
module/m58572#fs-id1167794215993 · defn · referenced by: 1
en · official · sha256:eef30c92c78e8825bc968e00bb007c67af81b0849e812cb36d2371fcb5f7cfb1
<definition id="fs-id1167794215993">
<term>relativistic kinetic energy</term>
<meaning id="fs-id1167794215998">kinetic energy of an object moving at relativistic speeds</meaning>
</definition>Referencing norms: KineticEnergyIsTotalMinusRest
module/m58572#fs-id1167794216002 · defn · referenced by: 1
en · official · sha256:958dc08482d9288dfbff0b61dc1fd26a63e8bed63e184193cc30199f8f956086
<definition id="fs-id1167794216002">
<term>rest energy</term>
<meaning id="fs-id1167794216008">energy stored in an object at rest: <m:math><m:mrow><m:msub><m:mi>E</m:mi><m:mn>0</m:mn></m:msub><m:mo>=</m:mo><m:mi>m</m:mi><m:msup><m:mi>c</m:mi><m:mn>2</m:mn></m:msup></m:mrow></m:math></meaning>
</definition>Referencing norms: RestEnergyIsMassTimesCSquared
module/m58572#fs-id1167794216029 · defn · referenced by: 1
en · official · sha256:5110efa656ac29a5c47432ddac1ad08b82033d7275fdd9d60da3b4906d284291
<definition id="fs-id1167794216029">
<term>speed of light</term>
<meaning id="fs-id1167794216034">ultimate speed limit for any particle having mass</meaning>
</definition>Referencing norms: LightSpeedIsNotAttainableByAMassiveBody
module/m58572#fs-id1167794127467 · defn · referenced by: 2
en · official · sha256:0a0bab5bd3bb6557a02883fa27d657ee61ceb886eb8eae83a25efeba72680f35
<definition id="fs-id1167794127467">
<term>total energy</term>
<meaning id="fs-id1167794127472">sum of all energies for a particle, including rest energy and kinetic energy, given for a particle of mass <emphasis effect="italics">m</emphasis> and speed <emphasis effect="italics">u</emphasis> by <m:math><m:mrow><m:mi>E</m:mi><m:mo>=</m:mo><m:mi>γ</m:mi><m:mi>m</m:mi><m:msup><m:mi>c</m:mi><m:mn>2</m:mn></m:msup><m:mo>,</m:mo></m:mrow></m:math> where <m:math><m:mrow><m:mi>γ</m:mi><m:mo>=</m:mo><m:mfrac><m:mn>1</m:mn><m:mrow><m:msqrt><m:mrow><m:mn>1</m:mn><m:mo>−</m:mo><m:mfrac><m:mrow><m:msup><m:mi>u</m:mi><m:mn>2</m:mn></m:msup></m:mrow><m:mrow><m:msup><m:mi>c</m:mi><m:mn>2</m:mn></m:msup></m:mrow></m:mfrac></m:mrow></m:msqrt></m:mrow></m:mfrac></m:mrow></m:math></meaning>
</definition>Referencing norms: EnergyMomentumRelationAgrees, TotalEnergyIsGammaTimesRestEnergy
module/m58572#fs-id1167793473813 · section · referenced by: 1
en · official · sha256:20b50aa32c73e4ecb324b8ac99299169c73fdd714848834b95ce368ab8e2bec0
<para id="fs-id1167793473813">The speed of light is the ultimate speed limit for any particle having mass. All of this is consistent with the fact that velocities less than <emphasis effect="italics">c</emphasis> always add to less than <emphasis effect="italics">c</emphasis>. Both the relativistic form for kinetic energy and the ultimate speed limit being <emphasis effect="italics">c</emphasis> have been confirmed in detail in numerous experiments. No matter how much energy is put into accelerating a mass, its velocity can only approach—not reach—the speed of light.</para>Referencing norms: SubluminalSpeedIsAttainable
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