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Relativistic Kinetic Energy

The kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.

The kinetic energy equals the product of the mass, the speed of light squared, and the relativistic gamma minus one. The relativistic gamma is the reciprocal of the square root of one minus the ratio of the velocity and the speed of light squared.

Formula

{QuantityVariable["K", "Energy"] == Quantity[1, "SpeedOfLight"^2]*QuantityVariable["m", "Mass"]*(-1 + QuantityVariable["γ", "RelativisticGamma"]), QuantityVariable["γ", "RelativisticGamma"] == 1/Sqrt[1 + Quantity[-1, "SpeedOfLight"^(-2)]*QuantityVariable["v", "Speed"]^2]}

symbol description physical quantity
K kinetic energy "Energy"
m mass "Mass"
γ relativistic gamma "RelativisticGamma"
v velocity "Speed"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Relativistic Kinetic Energy"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Relativistic Kinetic Energy"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Relativistic Kinetic Energy"], {QuantityVariable["m","Mass"] -> Quantity[0.002`, "Kilograms"], QuantityVariable["K","Energy"] -> Quantity[906, "Gigajoules"]}]
Out[3]=

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