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Conservation of Momentum Calculator

Compute final velocity from momentum conservation in a collision.

Input Data

Mass1Kg
kg
Mass2Kg
kg
Initial Velocity1Ms
m/s
Initial Velocity2Ms
m/s
Final Velocity1Ms
m/s

Results

4m/s
6kg·m/s
6kg·m/s

At a glance:Total momentum conserved: v_f = (m₁v₁+m₂v₂)/(m₁+m₂) for perfectly inelastic. Complements coefficient-of-restitution and elastic-collision.

Formula

p_total = m₁v₁ + m₂v₂ = const.

$$m_1 u_1 + m_2 u_2 = m_1 v_1 + m_2 v_2, \quad v_2 = \frac{m_1 u_1 + m_2 u_2 - m_1 v_1}{m_2}$$

How to Use

  1. Enter masses and velocities.
  2. The tool returns the final velocity.

Case Studies

m₁=2 v₁=3, m₂=1 v₂=0

v_f = 2 m/s.

FAQ

Elastic vs inelastic?

Momentum always conserved; kinetic energy only in elastic collisions.

Related Tools

References

Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.

Found a problem with the results?

If this calculator's result is wrong, or you have any question about the calculation logic, please let us know. You are viewing:Conservation of Momentum Calculator（/physics/conservation-of-momentum）。