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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.
A work center consisting of 3 machines operates 40 hours a week. In a 4-week period, it actually worked 360 hours and produced 468 standard hours of work. Calculate the utilization and efficiency of the work center. What is the demonstrated weekly..
a charge of -8.1 microc is traveling at a speed of 8.7 106 ms in a region of space where there is a magnetic field. the
a simple turbojet is operating with a compressor pressure ratio of 8.0 a turbine inlet temperature of 1200 k and a mass
a 12-kg solid whose specific heat is 2.8 kjkg degree c is at a uniform temperature of -10 degree c. for an environment
Draw a schematic of the system @ t = t0, identifying all the key properties of the system, boundary, surroundings, etc.At some intermediate time t = t1, the pressure in the tank is equal to Psurr
An elevator is hung by a steel rope. The rope has a cross-sectional area of 250mm2 and a modulus of elasticity of 70 GPa. the upward acceleration when the elevator starts is 4 m/s2. the rope is 100m long and the elevator weigh 1000 kg. determine the ..
Room is heated by a base-board resistance heater, which is designed to heat the air in this room from 8oC to 27 oC within 20 min. Approximating the room as a thermo-insulated cuboid 15m ? 10m ? 5m and assuming the specific heats to be constant at a r..
Application: Design of a cavity for given resonant frequencies. A cavity resonator is built from a section of a waveguide with dimensions a = 4.755 cm and b = 2.215 cm by shorting the waveguide with two conducting plates. A rectangular cavity of l..
A long copper wire, 0.8 cm in diameter, is suddenly exposed to an air stream at a temperature of T? = 37°C. The thermal conductivity of the wire is k = 400 W/(m*K), the density is ? = 8900 kg/m3, and the heat capacity is cp= 385 J/(kg*K). If the conv..
Derive an expression similar to (15.2-32) using this approach.
Develop an equivalent T circuit with coil 1 as the reference coil. Repeat with coil 2 as the reference coil.
An express bus travels directly from A-town to B-ville. A local bus also links these two towns, but it goes west 30 km from A-town to C-city, then 30 km south to D-ville, and finally 12 km west to E-town and 30 km northeast to B-ville. What is the..
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