Wolfram Computation Meets Knowledge

Wolfram Formula Repository (Under Development)

Elastic Surface Collision

An elastic surface collision is an encounter between a particle and a surface in which the kinetic energy of the particle after the encounter is equal to the kinetic energy before the encounter. Perfectly elastic collisions occur only if there is no net conversion of kinetic energy into other forms (such as heat or noise).

The initial velocity of the object equals the final velocity of the object. The coefficient of restitution equals 1.

Formula

{QuantityVariable[Subscript["v", "1,i"], "Speed"] == -QuantityVariable[Subscript["v", "1,f"], "Speed"], QuantityVariable[Subscript["C", "R"], "Unitless"] == 1}

symbol description physical quantity
v1,i initial velocity of object "Speed"
v1,f final velocity of object "Speed"
CR coefficient of restitution "Unitless"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Elastic Surface Collision"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Elastic Surface Collision"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject["Elastic Surface Collision"], {QuantityVariable[ \!\(\*SubscriptBox[\("v"\), \("1,i"\)]\),"Speed"] -> Quantity[2, ("Meters")/("Seconds")]}]
Out[3]=

Publisher Information