Rule of thumb · PhysicsNº 135 / 167

Elastic collisions conserve both momentum and energy — real ones rarely do

Two equal masses colliding elastically exchange velocities completely — the moving ball stops, the stationary one takes off at the exact same speed. Any energy lost to heat or sound (an inelastic collision) breaks this clean exchange.

Why it works

Momentum is always conserved in a collision, but kinetic energy is only conserved in the idealised elastic case — real-world collisions sit somewhere between the two extremes depending on how much energy the materials absorb rather than transfer.

When it fails

The clean velocity swap needs equal masses colliding head-on. Unequal masses share the energy differently, and off-centre contact sends part of it into rotation — a snooker ball struck off true carries away spin the collision equations never see.

Do it exactly

Estimate with the rule, then check it against the calculator that models it properly.

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What is the difference between elastic and inelastic collisions?

Two equal masses colliding elastically exchange velocities completely — the moving ball stops, the stationary one takes off at the exact same speed. Any energy lost to heat or sound (an inelastic collision) breaks this clean exchange. Momentum is always conserved in a collision, but kinetic energy is only conserved in the idealised elastic case — real-world collisions sit somewhere between the two extremes depending on how much energy the materials absorb rather than transfer.

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