Calculadora de Conservação do Momento

v_f = (m₁v₁ + m₂v₂)/(m₁+m₂) — colisão perfeitamente inelástica 1D.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

v_f
4,000 m/s

Formula

v_f = (m₁v₁+m₂v₂)/(m₁+m₂)

About this calculator

The Conservation of Momentum Calculator solves perfectly inelastic one-dimensional collisions, where two bodies collide and stick together after impact. The tool applies the law of conservation of linear momentum, which states that the total momentum before the collision equals the total momentum after. Simply enter the masses and initial velocities of the two objects to get the final velocity of the combined system.

The calculation uses the formula v_f = (m₁v₁ + m₂v₂) / (m₁ + m₂), where m₁ and m₂ are masses and v₁ and v₂ are initial velocities. The result is the final velocity of the single block formed. This calculator is useful for physics students, engineers, and enthusiasts who want to check exercises or simulate real-world scenarios like car crashes or lab experiments.

Use this calculator when you need to determine the velocity after an inelastic collision in a straight line. For example, analyzing the collision of two cars that lock together or calculating the motion of two blocks that stick after impact. Remember that the formula only applies to perfectly inelastic one-dimensional collisions with no external forces.

Be careful with the direction of velocities: enter negative values to indicate opposite direction relative to the chosen positive axis. The calculator assumes motion occurs in one dimension only. Also, ensure you use consistent units (kg for mass, m/s for velocity) for accurate results. The tool does not account for energy losses or deformations, as it focuses solely on linear momentum.

Frequently asked questions

What is a perfectly inelastic collision?

It is a collision where the objects hit and stick together after impact, forming a single body. Kinetic energy is not conserved, but linear momentum is.

Can I use this calculator for elastic collisions?

No, this calculator is specific to perfectly inelastic collisions. For elastic collisions, kinetic energy is also conserved and the formula is different.

What if masses or velocities are negative?

Masses must always be positive. Velocities can be negative to indicate opposite direction relative to positive. The calculator accepts negative values.

Which units should I use for mass and velocity?

Use kilograms (kg) for mass and meters per second (m/s) for velocity. The result will be in m/s.

Does the calculator work for two or three-dimensional collisions?

No, it is designed only for one-dimensional collisions (in a straight line). For multiple dimensions, you must treat each component separately.

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