Elastic vs Inelastic Collisions

In elastic collisions both momentum and kinetic energy are conserved. Examples: idealised billiard-ball collisions, atomic scattering at low energy, Rutherford alpha-on-gold-foil at large impact parameter.

In inelastic collisions momentum is conserved but kinetic energy is not; some KE becomes heat, sound, deformation, or internal excitation. In a perfectly inelastic collision the objects stick together after impact, giving the largest possible KE loss consistent with momentum conservation.

Quantitative example: a 5 kg mass at 4 m/s strikes a stationary 3 kg mass. Elastic: final velocities are (1.0, 5.0) m/s. Perfectly inelastic: combined speed = (5×4)/(5+3) = 2.5 m/s; KE drops from 40 J to 25 J.

Recent research on this topic from arXiv

Preprints and papers indexed on arXiv.org. Links open the public abstract pages.

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