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Gravitational Binding Energy of a Uniform Sphere

The gravitational binding energy is the minimum energy that must be added to a system for the system to cease being in a gravitationally bound state.

The gravitational binding energy equals 3/5 of the gravitational constant times the mass squared divided by the radius.

Formula

QuantityVariable["U", "Energy"] == (Quantity[3/5, "GravitationalConstant"]*QuantityVariable["m", "Mass"]^2)/QuantityVariable["r", "Radius"]

symbol description physical quantity
U gravitational binding energy "Energy"
m mass "Mass"
r radius "Radius"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Gravitational Binding Energy of a Uniform Sphere"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ ResourceObject["Gravitational Binding Energy of a Uniform Sphere"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Gravitational Binding Energy of a Uniform Sphere"], \ {QuantityVariable["m","Mass"] -> Quantity[10, "Kilograms"], QuantityVariable["r","Radius"] -> Quantity[10, "Meters"]}]
Out[3]=

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