6.2 Collisions in 1-Dimension

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Collisions in 1-Dimension

In an elastic collision, both momentum and kinetic energy are conserved.

In inelastic and perfectly inelastic collisions, only momentum is conserved as some kinetic energy is lost. In a perfectly inelastic collision, the two objects remain stuck together after the collision resulting in the maximum loss of kinetic energy.

COLLISIONS IN 1-DIMENSION
ELASTIC PERFECTLY INELASTIC
Momentum CONSERVED
pi = pf
m1v1i + m2v2i = m1v1f + m2v2f
CONSERVED
pi = pf
m1v1i + m2v2i = (m1 + m2)vf
Kinetic
Energy
CONSERVED
KEi = KEf
½m1v1i 2 + ½m2v2i 2 = ½ m1v1f 2 + ½ m2v2f 2
NOT CONSERVED
KEi ≠ KEf