Difference between revisions of "Rest Energy"
(Created page with "==Key Stage 5== ===Meaning=== '''Rest energy''' is the energy associated with the mass of a particle which is stationary relative to the observe...") |
|||
| (5 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
==Key Stage 5== | ==Key Stage 5== | ||
===Meaning=== | ===Meaning=== | ||
| − | '''Rest energy''' is the [[energy]] associated with the [[mass]] of a [[Subatomic Particle|particle]] which is stationary relative to the observer. | + | '''Rest energy''' is the [[energy]] associated with the [[mass]] of a [[Subatomic Particle|particle]], by the [[Mass-Energy Equivalence|mass-energy equivalence]], which is stationary relative to the observer. |
===About Rest Energy=== | ===About Rest Energy=== | ||
| + | : The '''rest energy''' of [[Subatomic Particle|subatomic particles]] is usually quoted in [[Electron-Volt|electron-volts (eV)]] or [[Megaelectron-Volt|megaelectron-volts (MeV)]]. | ||
| + | : '''Rest energy''' is a [[scalar]] quantity as it has [[magnitude]] but does not have a direction. | ||
: The '''rest energy''' of a [[Subatomic Particle|subatomic particle]] is released in an [[annihilation]] with its [[antiparticle]]. | : The '''rest energy''' of a [[Subatomic Particle|subatomic particle]] is released in an [[annihilation]] with its [[antiparticle]]. | ||
| + | : The total '''rest energy''' is the product of the [[Rest Mass|rest mass]] and the [[Speed of Light|speed of light]] squared. | ||
| + | |||
| + | ===Equation=== | ||
The '''rest energy''' is given by the equation | The '''rest energy''' is given by the equation | ||
| Line 16: | Line 21: | ||
<math>c =</math> The speed of [[light]] (<math>3.00\times10^{8}ms^{-1}</math> in a [[vacuum]]). | <math>c =</math> The speed of [[light]] (<math>3.00\times10^{8}ms^{-1}</math> in a [[vacuum]]). | ||
| + | |||
| + | ===Examples=== | ||
| + | {| border="1" style="border-collapse:collapse" | ||
| + | | style="height:20px; width:150px; text-align:center;"|[[Subatomic Particle|Particle]] | ||
| + | | style="height:20px; width:150px; text-align:center;"|[[Rest Mass]] / kg | ||
| + | | style="height:20px; width:150px; text-align:center;"|[[Unified Atomic Mass Units]] | ||
| + | | style="height:20px; width:150px; text-align:center;"|'''Rest Energy / MeV''' | ||
| + | |- | ||
| + | | style="height:20px; width:150px; text-align:center;"|[[Proton]] (<math>p</math>) | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>1.67\times10^{-27}</math> | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>1.007</math> | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>938</math> | ||
| + | |- | ||
| + | | style="height:20px; width:150px; text-align:center;"|[[Neutron]] (<math>n</math>) | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>1.67\times10^{-27}</math> | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>1.009</math> | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>939</math> | ||
| + | |- | ||
| + | | style="height:20px; width:150px; text-align:center;"|[[Electron]] (<math>e</math>) | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>9.11\times10^{-31}</math> | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>0.05486</math> | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>5.11</math> | ||
| + | |- | ||
| + | | style="height:20px; width:150px; text-align:center;"|[[Muon]] (<math>\mu</math>) | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>1.88\times10^{-28}</math> | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>0.1134</math> | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>106</math> | ||
| + | |- | ||
| + | | style="height:20px; width:150px; text-align:center;"|[[π-meson]] (<math>\pi^±</math>) | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>2.49\times10^{-28}</math> | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>0.1500</math> | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>140</math> | ||
| + | |- | ||
| + | | style="height:20px; width:150px; text-align:center;"|[[π-meson]] (<math>\pi^0</math>) | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>2.41\times10^{-28}</math> | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>0.1449</math> | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>135</math> | ||
| + | |- | ||
| + | | style="height:20px; width:150px; text-align:center;"|[[K-meson]] (<math>K^±</math>) | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>8.80\times10^{-28}</math> | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>0.5300</math> | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>494</math> | ||
| + | |- | ||
| + | | style="height:20px; width:150px; text-align:center;"|[[K-meson]] (<math>K^0</math>) | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>8.87\times10^{-28}</math> | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>0.5442</math> | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>498</math> | ||
| + | |- | ||
| + | | style="height:20px; width:150px; text-align:center;"|[[Photon]] (<math>\gamma</math>) | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>0</math> | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>0</math> | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>0</math> | ||
| + | |- | ||
| + | | style="height:20px; width:150px; text-align:center;"|[[Neutrino]] (<math>\nu</math>) | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>0</math> | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>0</math> | ||
| + | | style="height:20px; width:150px; text-align:center;"|<math>0</math> | ||
| + | |} | ||
Latest revision as of 14:48, 25 July 2019
Key Stage 5
Meaning
Rest energy is the energy associated with the mass of a particle, by the mass-energy equivalence, which is stationary relative to the observer.
About Rest Energy
- The rest energy of subatomic particles is usually quoted in electron-volts (eV) or megaelectron-volts (MeV).
- Rest energy is a scalar quantity as it has magnitude but does not have a direction.
- The rest energy of a subatomic particle is released in an annihilation with its antiparticle.
- The total rest energy is the product of the rest mass and the speed of light squared.
Equation
The rest energy is given by the equation
\(E=mc^2\)
Where
\(E =\) The rest energy of a particle.
\(m =\) The rest mass of a particle.
\(c =\) The speed of light (\(3.00\times10^{8}ms^{-1}\) in a vacuum).
Examples
| Particle | Rest Mass / kg | Unified Atomic Mass Units | Rest Energy / MeV |
| Proton (\(p\)) | \(1.67\times10^{-27}\) | \(1.007\) | \(938\) |
| Neutron (\(n\)) | \(1.67\times10^{-27}\) | \(1.009\) | \(939\) |
| Electron (\(e\)) | \(9.11\times10^{-31}\) | \(0.05486\) | \(5.11\) |
| Muon (\(\mu\)) | \(1.88\times10^{-28}\) | \(0.1134\) | \(106\) |
| π-meson (\(\pi^±\)) | \(2.49\times10^{-28}\) | \(0.1500\) | \(140\) |
| π-meson (\(\pi^0\)) | \(2.41\times10^{-28}\) | \(0.1449\) | \(135\) |
| K-meson (\(K^±\)) | \(8.80\times10^{-28}\) | \(0.5300\) | \(494\) |
| K-meson (\(K^0\)) | \(8.87\times10^{-28}\) | \(0.5442\) | \(498\) |
| Photon (\(\gamma\)) | \(0\) | \(0\) | \(0\) |
| Neutrino (\(\nu\)) | \(0\) | \(0\) | \(0\) |