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Two one-dimensional relativistic particles
Consider two one-dimensional relativistic ideal-gas particles with masses confined to a one-dimensional box of length L. Because they are relativistic, their energies are given by EA = |pA|c and EA = |pB|c. Assume that the particles are in thermal equilibrium with each other, and that the total kinetic energy is E = EA + EB. Use the usual assumption that the probability density is uniform in phase space, subject to the constraints. Calculate the probability distribution P(EA) for the energy of one of the particles.
An investment pays $6000 at the end of the first year, $4000 at the end of the second year, and $2000 at the end of the third year. Compute the present value of the investment if a 10% rate-of-return is required.
An energy storage system is proposed to absorb ther- mal energy collected during the day with a solar col- lector and release thermal energy at night to heat a building. The key component of the system is a shell-and-tube heat exchanger with the s..
Consider an electric motor with shaft power output of 20kW and an efficiency of 88%. Determine the rate at which the motor dissipates heat to the room it is in when the motor operates at full load. In winter, this room is normally heated by a 2-kW re..
1. Find the de Broglie wavelength and frequency of an electron whose speed is 10% of the speed of light. Using the EM spectrum chart, what kinds of EM waves could this de Broglie wavelemgth represent? Please show all calculations and explanations!
A single stream exits the mixing chamber at 66°F, 1 atm, and 60% relative humidity, with a volumetric flow rate of 1500 ft3/min. Determine for stream 2 the relative humidity.
a series of cylindrically shaped l 25 mm d 5 mm ceramic samples are tested are testedin tension. the weibull
Identify the type of cable permitted in single- and multifamily dwelling units but that cannot be used underground, nor in buildings that are more than three stories above grade, nor in commercial garages, motion picture studios, theaters, places ..
Find the pressure in psf at the capped end of the pipe.
an insulated piston-cylinder device contains 0.05m3 of saturated refrigerant-134a vapor at 0.8mpa pressure. the
a carnot heat engine receives heat from a reservoir at 900 degrees celsius at a rate of 800kjmin and rejects the waste
A sine wave at frequency f= 90 Hz is sampled digitally at sampling frequencies fs=200,160 and 50 Hz respectively. For each case, discuss whether there is aliasing. Also for each case, calculate the aliasing (perceived) frequency.(b) Using EXCEL (or M..
a steam power plant is proposed to operate between the pressures of 8psia and 450psia with a max temperature of
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