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Newton's Law of Universal Gravitation

Newton's law of universal gravitation states that a particle attracts every other particle in the universe using a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

The gravitational force equals the product of the gravitational constant, the mass of the objects involved and the reciprocal of the square of the distance between them.

Formula

QuantityVariable["F", "Force"] == (Quantity[1, "GravitationalConstant"]*QuantityVariable[Subscript["m", "1"], "Mass"]*QuantityVariable[Subscript["m", "2"], "Mass"])/QuantityVariable["r", "Distance"]^2

symbol description physical quantity
F gravitational force "Force"
r distance "Distance"
m1 primary mass "Mass"
m2 secondary mass "Mass"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Newton's Law of Universal Gravitation"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Newton's Law of Universal Gravitation"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Newton's Law of Universal Gravitation"], {QuantityVariable[ \!\(\*SubscriptBox[\("m"\), \("2"\)]\),"Mass"] -> Quantity[60, "Kilograms"]}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 5 July 1687

Publisher Information