Your Turn 10C = L, Verify that the function P (x) = A (e−(x-L)ƒ /kBT - 1) vanishes at x = solves the Smoluchowski equation with the potential Vtot (x) = fx, and resembles the curve sketched in Figure 10.12 between 0 and L. (Here A is some positive constant.) Substitute into Equation 10.3 to find that j(1d) (x) is everywhere constant and positive. dP |j (1d) = net number crossing per time == -MD + 1 dx KBT P dUtot dx). (10.3)

Answers must be expressed in engineering notation (when the exponent of the base ten multiplier is not a multiple of 3, press ENG or SHIFT+ENG, whichever the case.) Example: 0.06N or 6.0x10² N must be expressed to 60x10-³N or 60mN 1. Consider a beam of electrons that moves from the electron gun towards the screen of a cathode ray tube due to the potential difference of 15kV. A pair of coils are placed outside a cathode ray tube and produce a uniform magnetic field of 250 μT across the tube. Calculate the force experienced by the electrons if the magnetic field is in place: a. parallel with the direction of the beam. b. Perpendicular with the direction of the beam. c. 50 degrees with the direction of the beam.

Please help me in a step by step solution for problem #10?

1 W:0E *Problem 1.3 Consider the gaussian distribution p(x) = Ae¬^(x-a)² %3D where A, a, and A are positive real constants. (Look up any integrals you need.) (a) Use Equation 1.16 to determine A. (b) Find (x), (x²), and ơ. (c) Sketch the graph of p(x).

Problem 10.10 Consider a central force given by F(r) = -K/r³ with K > 0. Plot the effective potential and discuss possible types of motion.

For Problem 8.16, how do I prove the relations and give the correct expressions?

Consider the following figure. A pressure-volume graph is plotted on a coordinate plane, where the horizontal axis is V (m3), and the vertical axis is P (MPa). The path consists of three line segments: a segment from point i (1,8) to (3,8), a segment from (3,8) to (5,2), a segment from (5,2) to point f (7,2). An arrow along the path is aligned such that its tail is closer to point i than is its tip. The area below the segments in the first quadrant is shaded. Horizontal and vertical dashed lines extend from each of the points to divide the shaded area into four rectangles and a triangle. (a) Determine the work done on a fluid that expands from i to f as indicated in the figure.MJ(b) How much work is done on the fluid if it is compressed from f to i along the same path?MJ

A heavy rope, 60 ft long, weighs 0.3 Ib/ft and hangs over the edge of a building 130 ft high. (Let x be the distance in feet below the top of the building. Enter x,* as x;.) (a) How much work W is done in pulling the rope to the top of the building? Show how to approximate the required work by a Riemann sum. 3 lim 10*i i = 1 Express the work as an integral. 60 dx 10* Evaluate the integral. 540 V ft-lb (b) How much work W is done in pulling half the rope to the top of the building? Show how to approximate the required work by a Riemann sum. lim 0.3x Express the work as an integral. 30 0.3x dx Jo Evaluate the integral. 135 X ft-lb

QM 6.1. Answer question throughly and with much detail as possible. Include formulas/ all work.

Statistical Physics This is the chemical potential of an ideal gas. The second image is the answer to 4.20 problem. Please generate a solution for this problem (to validate the given answer). Thank you!