Physics

Kinetics of a superstar member
1. Flux of a Single Particle (a) The frequency at which a fraction passes a given matt is given in terms of the container space measured perpendicular to the plane and the magnitude of the component of the particle velocity in that direction. |vi? | fi = L? (b) If we restrict to attend only when the particle passes the plane traveling in a particular direction this is reduced by half. |vi? | fi+ = 2L? (c) The ?ux from the maven particle is this rate divided by the orbital cavity of the plane. This have with L? gives the volume. ?i = 2. Pressure from a Single Particle (a) The pressure on a surface due to a single particle is the product of its ?ux and momentum transfer. Pi = ?i |?pi? | = = 3. Intensity of Single Particle Transport (a) The qualification transfered with a particle crossing a plane per social unit area and time is the product of the its ?ux and kinetic energy. Si = ?i Ki = = |vi? | 2V
2 m|vi? |vi 4V

|vi? | 2V

|vi? | 2V
2 mvi? V

(2m|vi? |)

1 2 mv 2 i

4.



Two Particle Collision run (a) From the reference frame of single particle i some other particle j is traveling at a telling speed, vji . vji = |v j ? v i | (b) A plane passing through the instantaneous location of particle i oriented perpendicular to the relative velocity of j testament experience a bi-directional ?ux due to particle j. ?ji = vji V

(c) Seen in this plane, particle i has an e?ective cross sectional area ?d2 . Combined with the ?ux of j gives the rate of collisions between particles i and j. fji = ?d2 vji V

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