Colisão Elástica 1D v₁′
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
About this calculator
The 1D Elastic Collision is a fundamental concept in physics, particularly in mechanics. It occurs when two objects collide and move away without losing kinetic energy. The 1D Elastic Collision v₁′ calculator helps determine the final velocity of the first object after the collision, using the formula v₁′ = ((m₁−m₂)v₁+2m₂v₂)/(m₁+m₂).
This formula is derived from the conservation of momentum and kinetic energy. The mass and velocity of the objects before the collision are essential to calculate the final velocity of the first object. It's worth noting that elastic collision is an idealized case, as in practice, some energy is always lost due to object deformation or friction.
The calculator is useful in situations where it's necessary to predict the outcome of collisions, such as in classical mechanics problems. For example, in a traffic accident, the velocity of vehicles after the collision can be estimated using this formula, considering the initial masses and velocities of the vehicles.
When using the calculator, it's essential to be careful with measurement units and ensure that the input values are consistent. Additionally, it's crucial to remember that the formula assumes a perfectly elastic collision, which may not occur in reality.
Frequently asked questions
What is an elastic collision?
An elastic collision is a type of collision where objects collide and move away without losing kinetic energy.
What variables are necessary to calculate the final velocity of the first object?
The necessary variables are: mass of the first object (m₁), mass of the second object (m₂), initial velocity of the first object (v₁), and initial velocity of the second object (v₂).
Does the calculator assume a perfectly elastic collision?
Yes, the calculator assumes a perfectly elastic collision, which may not occur in reality due to energy loss.
In what situations is the 1D Elastic Collision v₁′ calculator useful?
The calculator is useful in classical mechanics problems, such as estimating the velocity of objects after a collision.