The difference between elastic and inelastic collisions lies in the conservation of kinetic energy.
In an elastic collision, both momentum and kinetic energy are conserved. Momentum conservation means that the total momentum before and after the collision remains the same. Kinetic energy conservation means that the total kinetic energy of the system is conserved, with no energy lost or gained.
In an inelastic collision, momentum is conserved, but kinetic energy is not fully conserved. Some kinetic energy is transformed into other forms of energy, such as heat, sound, or deformation.
Here are some key distinctions between elastic and inelastic collisions:
Kinetic Energy Conservation: In an elastic collision, the total kinetic energy of the system remains constant. The initial kinetic energy equals the final kinetic energy. In an inelastic collision, the total kinetic energy of the system may change. Some kinetic energy is transformed into other forms, resulting in a decrease in the overall kinetic energy.
Object Interaction: In an elastic collision, objects bounce off each other without any permanent deformation. They retain their original shapes and sizes. In an inelastic collision, objects may stick together, deform, or undergo structural changes. This typically occurs when the objects have adhesive forces or are subjected to an external force.
Coefficient of Restitution: The coefficient of restitution is a parameter used to characterize collisions. In an elastic collision, the coefficient of restitution is 1, indicating a perfect rebound. In an inelastic collision, the coefficient of restitution is less than 1, signifying a partial rebound or no rebound at all.
Examples: A collision between two billiard balls is an example of an elastic collision. After the collision, the balls move away from each other with the same speed and energy as before the collision. On the other hand, a car collision is an example of an inelastic collision. The vehicles deform upon impact, and some kinetic energy is dissipated as heat and sound.
It's important to note that real-world collisions may not be purely elastic or inelastic but rather exhibit a combination of both characteristics.