Completely inelastic collisions

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SUMMARY

The equation for completely inelastic collisions is defined by the conservation of momentum, expressed as m1v1 + m2v2 = (m1 + m2)v'. In this scenario, m1 and m2 represent the masses of the colliding objects, while v1 and v2 denote their respective velocities prior to the collision. After the collision, the objects stick together and move with a common velocity v'. It is crucial to note that while momentum is conserved, kinetic energy is not, as it transforms into other energy forms like heat and sound.

PREREQUISITES
  • Understanding of momentum conservation principles
  • Familiarity with basic physics concepts of mass and velocity
  • Knowledge of kinetic energy and its transformations
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the implications of momentum conservation in elastic collisions
  • Explore energy transformations in different types of collisions
  • Learn about real-world applications of completely inelastic collisions
  • Investigate the differences between elastic and inelastic collisions
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Students of physics, educators teaching mechanics, and professionals in engineering fields who require a solid understanding of collision dynamics.

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What is the equation for completely inelastic collisions?
 
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Eqn 1: conservation of momentum.
Eqn 2: bodies stick together after collision.
 


In completely inelastic collisions, the objects involved stick together after the collision and move as one mass. The equation for completely inelastic collisions is m1v1 + m2v2 = (m1 + m2)v', where m1 and m2 are the masses of the objects, v1 and v2 are their velocities before the collision, and v' is their common velocity after the collision. This equation is also known as the law of conservation of momentum, which states that the total momentum of a closed system will remain constant before and after a collision. In completely inelastic collisions, the kinetic energy is not conserved as some of it is converted into other forms of energy, such as heat and sound.
 

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