A Crash Course on Inelastic Collisions 💥

An inelastic collision is a type of collision between two or more objects in which kinetic energy is not conserved. In these collisions, some of the initial kinetic energy of the system is transformed into other forms of energy, such as internal energy (thermal energy), sound, or deformation energy. Inelastic collisions are common in the real world and are characterized by a decrease in the total mechanical energy of the system.
Here are some key characteristics and principles of inelastic collisions:
1. *Momentum Conservation:* Like in elastic collisions, momentum is conserved in inelastic collisions. The total momentum of the system before the collision is equal to the total momentum after the collision. This principle is expressed mathematically as:
Initial Total Momentum = Final Total Momentum
Mathematically, for two objects colliding inelastically:
m1 * v1_initial + m2 * v2_initial = m1 * v1_final + m2 * v2_final
Where:
- m1 and m2 are the masses of the objects.
- v1_initial and v2_initial are their initial velocities before the collision.
- v1_final and v2_final are their final velocities after the collision.
2. *Kinetic Energy is Not Conserved:* In inelastic collisions, kinetic energy is not conserved. Some of the initial kinetic energy is converted into other forms of energy, such as heat, sound, or deformation energy. As a result, the total kinetic energy of the system after the collision is less than the total kinetic energy before the collision.
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