Precisely calculate the final velocities of two objects after a one-dimensional elastic collision. Our tool helps you understand the conservation of momentum and kinetic energy, crucial for physics problems and engineering applications. Get instant, accurate results for your collision analysis.
Formula:
For a one-dimensional (1D) elastic collision involving two objects with masses m₁ and m₂ and initial velocities u₁ and u₂, their final velocities v₁ and v₂ are determined by the following equations:
- Final Velocity of Object 1 (v₁):
v₁ = ( (m₁ - m₂) / (m₁ + m₂) ) * u₁ + ( (2 * m₂) / (m₁ + m₂) ) * u₂ - Final Velocity of Object 2 (v₂):
v₂ = ( (2 * m₁) / (m₁ + m₂) ) * u₁ + ( (m₂ - m₁) / (m₁ + m₂) ) * u₂
Where:
m₁: Mass of Object 1 (in kilograms, kg)m₂: Mass of Object 2 (in kilograms, kg)u₁: Initial Velocity of Object 1 (in meters per second, m/s)u₂: Initial Velocity of Object 2 (in meters per second, m/s)v₁: Final Velocity of Object 1 (in meters per second, m/s)v₂: Final Velocity of Object 2 (in meters per second, m/s)
In an elastic collision, both kinetic energy and momentum are conserved.