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Hooke's Law for Potential Energy

Hooke's law is a principle of physics that states that the force needed to extend or compress a spring by some distance is proportional to that distance.

The potential energy equals half of the spring constant times the distance squared.

Formula

QuantityVariable["U", "Energy"] == (QuantityVariable["k", "SpringConstant"]*QuantityVariable["x", "Length"]^2)/2

symbol description physical quantity
U potential energy "Energy"
k spring constant "SpringConstant"
x extension "Length"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Hooke's Law for Potential Energy"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Hooke's Law for Potential Energy"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Hooke's Law for Potential Energy"], {QuantityVariable[ "x","Length"] -> Quantity[1, "Meters"], QuantityVariable["k","SpringConstant"] -> Quantity[10, ("Newtons")/("Meters")]}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 1676

Publisher Information