Recent content by Jeremy Wittkopp

I tried this derivation again, I'll show my work this time: Classical Ideal Gas: P = (1/3)(N/V)mv2 = (2/3) * (1/2)mv2 * (N/V) = (2/3)K(N/V) (assuming only 3 degrees of freedom) P - pressure N - # of particles V - volume m - mass v - velocity K - kinetic energy Krel = (ϒ...

Wouldn't it be: pc/E? But in my derivation, I already inputted momentum, so I'm still a bit confused.

Suppose the molecules of an ideal gas move with a speed comparable to the speed of light. I am trying to adapt the kinetic theory to express the pressure of the gas in terms of m and the relativistic energy, but each time I try to derive the expression, I get: P = (1/3)(N/V)(v/c)√(E2 - m2c2)...

Homework Statement A particle slides on the outer surface of an inverted hemisphere. Using Lagrangian multipliers, determine the reaction force on the particle. Where does the particle leave the hemispherical surface? L - Lagrangian qi - Generalized ith coordinate f(r) - Holonomic constraint...