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Professor Walter Lewin explaining one-dimensional elastic collisions. In any collision without an external force, momentum is conserved; but in an elastic collision, kinetic energy is also conserved. [1] Consider particles A and B with masses m A, m B, and velocities v A1, v B1 before collision, v A2, v B2 after collision.
0 < e < 1: This is a real-world inelastic collision, in which some kinetic energy is dissipated. The objects rebound with a lower separation speed than the speed of approach. e = 1: This is a perfectly elastic collision, in which no kinetic energy is dissipated. The objects rebound with the same relative speed with which they approached.
Collisions are of two types: 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. Inelastic collision.
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.
The simple effect from two same-mass efficiently elastic colliding objects constrained to a straight path is the basis of the effect seen in the cradle and gives an approximate solution to all its activities. For a sequence of same-mass elastic objects constrained to a straight path, the effect continues to each successive object.
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 requirement of zero interaction can often be relaxed if, for example, the interaction is perfectly elastic or regarded as point-like collisions. Under various conditions of temperature and pressure, many real gases behave qualitatively like an ideal gas where the gas molecules (or atoms for monatomic gas) play the role of the ideal particles.
Instead of implicitly changing the velocity term, one would need to explicitly control the final velocities of the objects colliding (by changing the recorded position from the previous time step). The two simplest methods for deciding on a new velocity are perfectly elastic and inelastic collisions.