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Relativistic Momentum

The relativistic momentum is the product of the mass and velocity of an object after a Lorentz transformation.

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

Formula

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

symbol description physical quantity
p momentum "Momentum"
m mass "Mass"
v velocity "Speed"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Relativistic Momentum"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Relativistic Momentum"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Relativistic Momentum"], {QuantityVariable["m","Mass"] -> Quantity[1, "Kilograms"], QuantityVariable["v","Speed"] -> Quantity[3.`*^7, ("Meters")/("Seconds")]}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 1905

Publisher Information