Calculator
Physics

1D Collision – Elastic / Perfectly Inelastic Calculator

Calculates post-collision velocities and energy change for elastic or perfectly inelastic 1D collisions between two objects.

Tutorial / How it works →

Info

This tool analyses a collision between two objects moving along the same line (single axis). It supports both elastic (energy-conserving) and perfectly inelastic (objects stick together) collisions. Definitions: - Initial values: m₁, v₁: mass and velocity of object 1 m₂, v₂: mass and velocity of object 2 - Conserved quantities in an elastic collision: • Total momentum: p = m₁v₁ + m₂v₂ • Total mechanical energy: E = ½m₁v₁² + ½m₂v₂² - In a perfectly inelastic collision: • Momentum is conserved, • Objects move together with the same post-collision velocity (v'), • Part of the mechanical energy is lost as heat, sound, deformation, etc. This tool: - Finds the final velocities v₁' and v₂' for the selected collision type, - Calculates initial and final momentum/energy values, - Reports the energy loss and momentum error (numerical rounding).

About Collision Types
The model is based on ideal 1D collisions with external forces neglected. In real systems, energy losses and 3D effects can alter the outcome.
Use advanced settings for more accurate results.