1. Perfectly Elastic Collision:
* Momentum is conserved: The total momentum of the system (sum of individual momentums) remains the same before and after the collision.
* Kinetic energy is conserved: The total kinetic energy of the system remains the same before and after the collision.
* Velocity changes: In an elastic collision, objects bounce off each other with a change in velocity. The velocity after impact can be calculated using conservation of momentum and kinetic energy.
2. Perfectly Inelastic Collision:
* Momentum is conserved: The total momentum of the system remains the same before and after the collision.
* Kinetic energy is NOT conserved: Some kinetic energy is lost due to heat, sound, or deformation.
* Velocity changes: Objects stick together after impact and move as one. The final velocity is determined by the conservation of momentum.
3. Partially Inelastic Collision:
* Momentum is conserved: The total momentum of the system remains the same before and after the collision.
* Kinetic energy is partially conserved: Some kinetic energy is lost, but not all of it.
* Velocity changes: Objects may rebound or stick together with some energy loss. The final velocities are calculated using momentum conservation and the amount of energy lost.
Factors influencing velocity after impact:
* Mass of the objects: Heavier objects tend to have less velocity change than lighter objects.
* Coefficient of restitution: A value that represents how elastic a collision is. A higher coefficient means more energy is conserved, resulting in a larger rebound velocity.
* Angle of impact: The angle at which the objects collide can influence the direction and magnitude of the velocity change.
In Summary:
* Momentum is always conserved in all types of collisions.
* Kinetic energy is only conserved in perfectly elastic collisions.
* The type of collision and the involved factors determine the specific relationship between velocities before and after impact.
