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Relativistic Energy for Moving Mass

The energy–momentum relation is the relativistic equation relating any object's rest (intrinsic) mass, total energy and momentum. From this, the relativistic energy can be calculated.

The energy equals the mass times the speed of light squared divided by the square root of 1 minus the ratio squared of the velocity and the speed of light.

Formula

QuantityVariable["E", "Energy"] == (Quantity[1, "SpeedOfLight"^2]*QuantityVariable["m", "Mass"])/Sqrt[1 + Quantity[-1, "SpeedOfLight"^(-2)]*QuantityVariable["v", "Speed"]^2]

symbol description physical quantity
E energy "Energy"
m mass "Mass"
v velocity "Speed"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Relativistic Energy for Moving Mass"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Relativistic Energy for Moving Mass"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Relativistic Energy for Moving Mass"], {QuantityVariable[ "v","Speed"] -> Quantity[0.1`, "SpeedOfLight"]}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 1905

Publisher Information