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Weight on Other Bodies

The weight of an object is usually taken to be the force on the object due to the gravity of a body.

The weight of the object equals the product of the gravitational constant, the mass of the body and the mass of the object divided by the squared sum of the height above the surface and the radius of the body.

Formula

QuantityVariable["W", "Force"] == (Quantity[1, "GravitationalConstant"]*QuantityVariable["m", "Mass"]*QuantityVariable["M", "Mass"])/(QuantityVariable["h", "Height"] + QuantityVariable["r", "Radius"])^2

symbol description physical quantity
W weight of object "Force"
m mass of object "Mass"
M mass of body "Mass"
h height "Height"
r radius "Radius"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Weight on Other Bodies"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Weight on Other Bodies"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Weight on Other Bodies"], {QuantityVariable["M","Mass"] -> Quantity[5.9742`5.*^24, "Kilograms"], QuantityVariable["r","Radius"] -> Quantity[6.38`*^6, "Meters"], QuantityVariable["h","Height"] -> Quantity[2, "Kilometers"]}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 1687

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