COLLISION :(Definition,Types, Derivation, Example)WELL EXPLAINED

Learn the concept of collusion and the two fundamental equations of collusion.
Types of Collisions:
1. Elastic Collision: In an elastic collision, the total kinetic energy of the system is conserved. The objects collide and rebound, maintaining their initial kinetic energy. Examples include billiard ball collisions or atomic collisions.
2. Inelastic Collision: In an inelastic collision, the total kinetic energy of the system is not conserved. The objects collide and stick together, converting some kinetic energy into other forms like heat, sound, or internal energy. Examples include car crashes or collisions between two balls of clay.
Fundamental Equations:
1. Conservation of Momentum: The total momentum of the system remains constant before and after the collision. This is described by the equation:
p1 + p2 = p1' + p2'
Where p1 and p2 are the initial momenta of the two objects, and p1' and p2' are their final momenta.
1. Kinetic Energy Equation: The total kinetic energy of the system is related to the initial and final velocities of the objects. For an elastic collision, the kinetic energy is conserved:
(1/2)m1v1^2 + (1/2)m2v2^2 = (1/2)m1v1'^2 + (1/2)m2v2'^2
Where m1 and m2 are the masses of the objects, v1 and v2 are their initial velocities, and v1' and v2' are their final velocities.
These equations form the basis of collision theory and are essential in understanding various phenomena in physics, from subatomic particle interactions to macroscopic collisions in everyday life.
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