Consider a cylindrical capacitor made out of two "long" metal cylindrical shells of length L. The outer one has a radius R and the inner one has a radius r. Now Q Coulombs of charge are removed from the outer cylinder and moved to the inner cylinder.

-Using Gauss's Law, derive an expression for the field in the gap between cylindrical shells. Please state the

symmetry argument clearly as well as choice for Gaussian surface used and why.

-Now that you have the field, take a unit positive charge for a "walk" from one cylinder to the other and find the work done,

and thus calculate the capacitance of the cylindrical capacitor.

A stone is dropped from a bridge. A second stone is thrown downwards 2.0 s later with an initial speed of 25 m/s. They both reach the water below at the same instant. (a) How long did it take for the first stone to reach the water? (b) How high is the bridge? (c) What are the speeds of the two stones just before they hit the water?

If energy is always conserved, how can some devices be more efficient then others?

Explain in detail how battery size, chemical properties, age, and temperature as well as any other factors that you may think of, cause internal resistance with in a battery

1. A one-electron atom has atomic number ?, mass number ? and a spherical nucleus of radius ? . Assume electric charge +?? is uniformly distributed throughout the volume of
the nucleus. Ignoring spin, use first order non-degenerate perturbation theory and the
hydrogenic wave functions adapted to the one-electron atom to determine the dependence
of the ground state energy of the atom on ?

Two identical blocks of mass M = 2.60 kg each are initially at rest on a smooth, horizontal table. A bullet of very small mass m = 20 g (m << M) is fired at a high speed v. = 120 m/s towards the first block. It quickly exits the first block at a reduced speed of 0.40 v, then strikes the second block, quickly getting embedded inside of it. All the motion happens on the x-axis.

(a) find the speeds of the two blocks after their encounters with the bullet.

(b) Now the first block catches up with the second one and collides with it. They got stuck together afterward and move forward. Find their common speed V after the collision.

(c) The two blocks now hit a light spring of spring constant k = 35 N/m mounted on the wall. How far is the spring compressed before the blocks reach a momentary stop?

An n-type silicon wafer undergoes a pre-deposition diffusion process with a constant surface concentration of boride gas; the resulting concentration of boron in silicon at the surface is estimated to be 1x1018 atoms cm-3. The background concentration of trace boron atoms in the silicon wafer is estimated to be 1x1014 cm-3. (A) Estimate the depth of the p-n junction below the surface when the background doping concentration of the n-type impurity is 3.45 x1016 cm-3; assume the diffusion process proceeds for 10 minutes and has a diffusion parameter given by 10-12 cm2 s -1. (B) Estimate the number of boron atoms (per cm^2) introduced in this thin surface layer following the pre-deposition step.

Can anyone walk me through this please!!-- Build a Monte Carlo simulation model to solve a project problem.

An elevator packed with people has a mass of 1900 kg.

The elevator accelerates upward (in the positive direction) from rest at a rate of 1.95 m/s² for 2.4 s. Calculate the tension in the cable supporting the elevator in newtons.

The elevator continues upward at constant velocity for 8.1 s. What is the tension in the cable, in Newtons, during this time?

The elevator experiences a negative acceleration at a rate of 0.75 m/s² for 2.8 s. What is the tension in the cable, in Newtons, during this period of negative accleration?

How far, in meters, has the elevator moved above its original starting point?

Hot & Cold compress

1. What are compresses?

2. What conditions would benefit from hot compresses?

3. What conditions would benefit from cold compresses?

4. How do you create a compress?

The 1500-kg truck reaches a speed of 50 km/h from rest in a distance of 60 m up the 10% incline with constant acceleration. Calculate the normal force under each pair of wheels and the effective coefficient of friction between the tires and the road during this motion.

Explain the relationship between Maxwell’s differential and integral formulations clearly and neatly. I am asking for an explanation, not derivation. Will give thumbs up. Again please write legibly. Thank you

Temperatures of gases inside the combustion chamber of a four‑stroke automobile engine can reach up to 1000 ∘C.1000 ∘C. To remove this enormous amount of heat, the engine utilizes a closed liquid‑cooled system that relies on conduction to transfer heat from the engine block into the liquid and then into the atmosphere by flowing coolant around the outside surface of each cylinder.

Suppose that, in a particular 55‑cylinder engine, each cylinder has a diameter of 8.50 cm,8.50 cm, a height of 10.4 cm,10.4 cm, and a thickness of 3.78 mm.3.78 mm. The temperature on the inside of the cylinders is 195.2 ∘C,195.2 ∘C, and the temperature outside, where the coolant passes, is 134.2 ∘C.134.2 ∘C. The temperature of the incoming liquid (a mixture of water and antifreeze) is maintained at 101.3 ∘C.101.3 ∘C.

What volume flow rate of coolant ??Vt would be required to cool this engine? Assume that the coolant reaches thermal equilibrium with the outer cylinder walls before exiting the engine. The specific heat of the coolant is 3.75 J/g⋅∘C3.75 J/g⋅∘C and its density is 1.070×103 kg/m3.1.070×103 kg/m3. The cylinder walls have thermal conductivity of 1.10×102 W/m⋅∘C.1.10×102 W/m⋅∘C. Assume that no heat passes through the ends of the cylinders.

??=Vt=

cm3s

Would the speed of sound in a monatomic gas like helium be the same as it would be in air (primarily a diatomic gas)? Why? Assume that both gases have the same density and exist at the same pressure.

Yes. If the pressure and density of both gases are the same, then the speed of sound must be the same.

No. The energy that goes into molecular bonds in the diatomic gas makes the effective spring constant of the gas different from that of the monatomic gas.

No. It is impossible for both gases to have the same density, so the speed of sound cannot possibly be the same in different gases.

Yes. The oscillating medium in each case can be approximated to be the same.