Consider the following figure: V1 TR V2 L Assume that a particle bounces normally off a heated surface with a kinetic energy that is in thermal equilibrium with the surface temperature regardless of its approach energy. Show that average force F produced on the left-hand plate by a single molecule of mass m in bouncing back and forth is: k You will use following information as guide you in your derivation: (1) F =| (2) The kinetic definition of temperature: kT =; mvž (number of collisions mvz+mv1. (change in momentum of wall) = 1.00s round-trip time second 1.00 s 2
Consider the following figure: V1 TR V2 L Assume that a particle bounces normally off a heated surface with a kinetic energy that is in thermal equilibrium with the surface temperature regardless of its approach energy. Show that average force F produced on the left-hand plate by a single molecule of mass m in bouncing back and forth is: k You will use following information as guide you in your derivation: (1) F =| (2) The kinetic definition of temperature: kT =; mvž (number of collisions mvz+mv1. (change in momentum of wall) = 1.00s round-trip time second 1.00 s 2
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Transcribed Image Text:Consider the following figure:
V1
TR
V2
L
Assume that a particle bounces normally off a heated surface with a kinetic
energy that is in thermal equilibrium with the surface temperature regardless
of its approach energy. Show that average force F produced on the left-hand
plate by a single molecule of mass m in bouncing back and forth is:
k
You will use following information as guide you in your derivation:
(number of collisions
mvz +mv1.
(1) F = |
(change in momentum of wall) =
1.00s
round-trip time
second
1.00 s
(2) The kinetic definition of temperature: kT =; mvž
2
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