Elastic Collision Calculator
Compute final velocities of an elastic collision and total momentum/KE.
Input Data
Mass1Kg
kg
Velocity1Ms
m/s
Mass2Kg
kg
Velocity2Ms
m/s
Results
Final v₁'.
0m/s
Final v₂'.
5m/s
Conserved momentum.
5kg·m/s
Conserved KE.
12.5J
At a glance:Elastic: both momentum and KE conserved; final velocities from the 1D formulas. Complements elastic-collision-1d and inelastic-collision.
Formula
v₁' = ((m₁−m₂)v₁+2m₂v₂)/(m₁+m₂).
$$v_1' = \frac{(m_1-m_2)v_1 + 2m_2 v_2}{m_1+m_2}, \quad v_2' = \frac{(m_2-m_1)v_2 + 2m_1 v_1}{m_1+m_2}, \quad e = \frac{v_2'-v_1'}{v_1-v_2} = 1$$How to Use
- Enter masses and velocities.
- The tool returns final velocities and totals.
Case Studies
m₁=2,v₁=3; m₂=1,v₂=0
v₁'=1, v₂'=4.
FAQ
2D?
This model is 1D; 2D needs vector components and impact angle.
Related Tools
References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.