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Perfectly Inelastic Collision

An inelastic collision is a collision in which kinetic energy is not conserved due to the action of internal friction. A perfectly inelastic collision occurs when the maximum amount of kinetic energy of a system is lost. In a perfectly inelastic collision, the colliding particles stick together.

The product of the mass and initial velocity of the first object plus the product of the mass and initial velocity of the second object equals the sum of the masses of the two objects times their final velocity.

Formula

QuantityVariable[Subscript["m", "1"], "Mass"]*QuantityVariable[Subscript["v", "1,i"], "Speed"] + QuantityVariable[Subscript["m", "2"], "Mass"]*QuantityVariable[Subscript["v", "2,i"], "Speed"] == (QuantityVariable[Subscript["m", "1"], "Mass"] + QuantityVariable[Subscript["m", "2"], "Mass"])*QuantityVariable[Subscript["v", "f"], "Speed"]

symbol description physical quantity
m1 mass of first object "Mass"
v1,i initial velocity of first object "Speed"
m2 mass of second object "Mass"
v2,i initial velocity of second object "Speed"
vf final velocity of the combined object "Speed"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Perfectly Inelastic Collision"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Perfectly Inelastic Collision"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject["Perfectly Inelastic Collision"], {QuantityVariable[ \!\(\*SubscriptBox[\("m"\), \("2"\)]\),"Mass"] -> Quantity[2, "Kilograms"]}]
Out[3]=

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