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1. THE VLASOV EQUATION
Show that the one-dimensional Vlasov equation,
can be obtained by Taylor expansion of the right-hand side of:
2. ISOTROPIC PRESSURE
Show that the off-diagonal terms of the pressure tensor
vanish if f¾ is an isotropic function of ±v (i.e., randomization is the same in any direction). Hint: Expand the the tensor ±v ¢±vf¾ and integrate terms individually (you need only do this for one diagnoal term, and one off-diagona, and argue similarity with other tensor terms).
3. ACCELERATION TERM IN THE VLASOV EQUATION
Show that the acceleration integral in the ?rstmoment of the Vlasov equation gives
Hint: Integrate by parts, taking into account that
Suppose I hand you four identical resistors, each with the same resistance R, How many distinct arrangements can you find
Explain by how much horizontal force F must a sprinter of mass 62.0 kg exert on the starting blocks to produce this acceleration?
What is order of the layers from top to bottom
Three point charges are located in the x-y plane. q1 = +78.2 nC at (0.0, -4.6 cm), q2 = -36.4 nC at (+5.8 cm, 0.0) and q3 = +77.4 nC at (-6.2 cm, +8.4 cm). Determine the magnitude of the net electric field at the origin
As part of a safety investigation, two 1200- {rm kg} cars traveling at 24- {rm m/s} are crashed into different barriers.
An ethernet cable is 3.95 m long and has a mass of 0.190 kg. A transverse pulse is produced by plucking one end of the taut cable. evaluate the tension in the cable
An ice machine converts 10 degree celsius water to 0 degree celsius ice. The ice machine has a COP of 3 and consumes elec
What force does a 55 kg passenger exert on the seat when she is at the top of the Ferris wheel.
A 4.7 e2 kg hot-air balloon takes off from rest at surface of the earth. The nonconservative wind and lift forces take the balloon up, doing +9.70 multiplied by 104J of work on the balloon in the process. At what height above the surface of the ea..
Consider a spherical Gaussian surface and three charges: q1 = 1.62?C , q2 = -2.45?C , and q3 = 3.57?C . Find the electric flux through the Gaussian surface
The electric field at a distance o f0.145m from the surface of a solid insulating sphere with radius 0.355m is 1750 N/C. Calculate the electric field inside the sphere at a distance of 0.200m from the center
You want to produce a magnetic field of magnitude 5.50×10?4T at a distance of 4.00×10?2m from a long, straight wire. What current is required to produce this field
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