AllMyCalculators

Inelastic Collision Calculator

Works out the result of a collision that loses energy.

Choose one direction as positive. Motion the other way is negative.

0 means they stick together. 1 means perfectly elastic.

After the collision
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Share sends a link that reopens these numbers. Copy details pastes the full breakdown as a list.

Mass 1 velocity after —
Mass 2 velocity after —
Kinetic energy lost —
Share of the energy lost — %
Total momentum — kg·m/s
Assumes —

The formula

stuck together: v = (m₁u₁ + m₂u₂) ÷ (m₁ + m₂) v₁ = (p − m₂e(u₁ − u₂)) ÷ (m₁ + m₂) v₂ = (p + m₁e(u₁ − u₂)) ÷ (m₁ + m₂)

Momentum is conserved. Kinetic energy is not, and e sets how much of the closing speed returns as separating speed.

What to watch out for

Leave the restitution at zero for objects that stick, such as a car crash where the vehicles lock together.

Frequently Asked Questions

What is the final speed when a 2 kg mass at 3 m/s hits and sticks to a still 1 kg mass?

2 m/s, losing 3 J of 9 J.

Is momentum still conserved?

Yes, as long as no outside force acts during the collision. Only kinetic energy is lost.