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Five atoms are colored red so their paths of motion are easier to see. In physics, an elastic collision is an encounter (collision) between two bodies in which the total kinetic energy of the two bodies remains the same. In an ideal, perfectly elastic collision, there is no net conversion of kinetic energy into other forms such as heat, noise ...
In a one-dimensional collision, the two key principles are: conservation of energy (conservation of kinetic energy if the collision is perfectly elastic) and conservation of (linear) momentum. A third equation can be derived [citation needed] from these two, which is the restitution equation as stated above. When solving problems, any two of ...
Elastic collision If all of the total kinetic energy is conserved (i.e. no energy is released as sound, heat, etc.), the collision is said to be perfectly elastic. Such a system is an idealization and cannot occur in reality, due to the second law of thermodynamics .
It applies to all perfectly elastic identical balls that have no energy losses due to friction and can be approximated by materials such as steel, glass, plastic, and rubber. For two balls colliding, only the two equations for conservation of momentum and energy are needed to solve the two unknown resulting velocities.
An inelastic collision, in contrast to an elastic collision, is a collision in which kinetic energy is not conserved due to the action of internal friction. In collisions of macroscopic bodies, some kinetic energy is turned into vibrational energy of the atoms , causing a heating effect, and the bodies are deformed.
The following equations apply to two hard spheres that undergo a perfectly elastic collision. [9] Let R and r denote the radii of the scattering center and scattered sphere, respectively. The differential cross section is =, and the total cross section is
The rapidly moving particles constantly collide among themselves and with the walls of the container, and all these collisions are perfectly elastic. Interactions (i.e. collisions) between particles are strictly binary and uncorrelated, meaning that there are no three-body (or higher) interactions, and the particles have no memory. Except ...
Sine-Gordon equation. The sine-Gordon equation is a second-order nonlinear partial differential equation for a function dependent on two variables typically denoted and , involving the wave operator and the sine of . It was originally introduced by Edmond Bour (1862) in the course of study of surfaces of constant negative curvature as the Gauss ...