Phys105_ps11_2009

Phys105_ps11_2009 - Physics 105, Problem Set 11 Due:...

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Unformatted text preview: Physics 105, Problem Set 11 Due: Friday, December 18, 2009, 3 PM. Reading: K&K Chapters 11, 12, 13 with particular emphasis on 11.3-11.5, 12, 13.1-13.3. Knights Chapter 36 (on E-reserves on PHY103 website) contains additional discussion of relativity. Problem 1. Pressure of a gas: First consider one atom of mass m bouncing elastically inside a perfect cube of interior size L L L = V (volume V ). The atom bounces elastically of the interior walls of the cube. Assume the walls have infinite mass and are oriented perpendicular to the x , y and z axes. When the atom bounces, the impulse is normal to the wall that it bounces off of. The initial velocity of the atom is ~v = ( v x ,v y ,v z ). (a) What is the time-averaged force that this atom exerts on a wall whose surface is perpendicular to the x axis? Now assume that there are N 1 such atoms inside the cube. The atoms may have different masses m i . The directions v i of their velocities are random and equally likely to point in any direction on the unit sphere. The total kinetic energy of these atoms isto point in any direction on the unit sphere....
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