Consider a nonrelativistic free particle in a cubic container of edge length l and volume v = l^3. the system is in thermal equlibrium at temperature t.
1) show the dispersion (ae) of gas energy is related to the disperesion (ap)2 of gas pressure by (ap) (ae) .
2) from the partition function of the gas, and using the relation obtained from 1), show the dispersion (ap)2 is given by (ap) 2kbt op 3v t
3) find the dispersion (ae) of gas energy in the fixed volume du tds, dv = 0) from the fluctuation dissipation theorem and show the above relation.

An object has a weight of 500 on earth what is the mass of this object

If the wheels lock when braking suddenly the vehicle: a: loses traction b: lose steering wheel ability c: gain speed slightly d: gain steering ability

Dinate system, and a charge q = - 2.00 nc is placed s2 10 n> c. (a) what is the change in electric potential energy when the dipole moment of a molecule changes its orientation with respect to es from parallel to perpendicular? (b) at what absolute temperature t is the average translational kinetic energy 32 kt of a molecule equal to the change in potential energy calculated in part(: abovethistemperature,thermalagitationprevents the dipoles from aligning with the electric field.) placed in a uniform electric field e with magnitude 1.6 * 6 on the positive x-axis at x = 4.00 cm. (a) if a third charge q3 = +6.00 nc is now placed at the point x = 4.00 cm, y = 3.00 cm, find the x- and y-components of the total force exerted on this charge by the other two. (b) find the magnitude and direction of figure p21.62 ll uu 21.55 . torque on a dipole. an electric dipole with dipole moment ps is in a uniform external electric field es. (a) find the orientations of the dipole for which the torque on the dipole is zero. (b) which of the orientations in part (a) is stable, and which is unstable? (hint: consider a small rotation away from the equi- librium position and see what happens.) (c) show that for the stable orientation in part (b), the dipole’s own electric field tends to oppose the external field. 21.62 ..