Reducing it to three questions, because I'm pretty confident on the others.
9. Find the volume of the solid generated by revolving about the line x = -1, the region bounded by the curves y = -x^2 + 4x - 3 and y = 0.
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I graphed everything, and then translated the graph 1 to the right making it...
I am creating a product (for personal use)
when I left click an image, "Upload to ImageShack" should show up
and when I click that I want to upload the file to image shack and provide me the uploaded file address in dialog box/other ways
Currently, I am working on .Net web application. I...
When a problem with a number of equations is given, asking to find its volume, a student has a choice between the cylindrical shell method and the cross-section method. However, regardless of what method is chosen, do both answers end up being EXACTLY the same?
Homework Statement
Okay, I totally do not understand how to derive the electric field made by a dipole or a line or a ring or etc.
Homework Equations
When finding the electric field, when you make an estimate, saying that the test charge is very far away, it should be similar to kQ/r^2...
The Newtonian Shell Theorem makes important predictions about the gravitational force experienced by an object located inside a spherically symetrical massive structure, such as a hollow or solid ball. The same predictions are made by Gauss' Law. According to...
Homework Statement
An insulated spherical shell with its center in the origin and radius R has a surface charge density of \sigma(\theta)=\sigma_0\sin(\theta) when \theta is the angle from the z axis. Calculate the electrical field outside the shell at point z=R.
Homework Equations...
When I open emacs from a linux shell, it always makes it run in the "foreground" so that I cannot do anything else in the shell until I close emacs. I used to know a way around this with some extra command after "$ emacs" but I forgot it. Does anyone know what I am talking about?
Homework Statement
An artillery shell is fired at an angle of 25.3 above the horizontal ground with an initial speed of 1890 m/s. The acceleration of gravity is 9:8 m/s2 : Find the total time of fight of the shell, neglecting air resistance. Answer in units of min.
Homework Equations...
why is it the maximum electrons per shell is 2,8,18,32,50 ... Wouldn't 2,8,16,32,50 make more sense mathematically?
Are there any equations the show why this occurs?
An uncharged spherical conducting shell surrounds a charge -q at the center of the shell. The charges on the inner and outer surfaces of the shell are respectively...
For this question I know that the charges are going to be +q, -q respectively.
However, what if the center charge wasn't...
I'm confused when to use the shell method vs. the disk method
Specifically in this problem:
If the region encolsed by the y-axis, the line y=2 and the curve y=\sqrt{x} is revolved around the y-axis, the volume of the solid generated is:
However when I use the shell method and the disk...
Hi everyone. I'm having a bit of trouble with finding an electric field. Basically, I'm trying to understand the formula for a cylindrical capacitor, so the method involves integrating the field between two conducting cylindrical shells. Firstly can Gauss's law be used in this case, because the...
Homework Statement
A perfectly conducting spherical shell of radius 'a' rotates about the z-axis with angular velocity \omega in a uniform magnetic field \mathbf{B} = B_0 \hat{\mathbf{z}}. Calculate the emf developed between the "north pole" and the equator.Homework Equations
The Attempt at a...
Homework Statement
(Note: Don't worry about significant digits. I just want to be able to do the question and will worry about significant digits on the exam.)
In the figure below, a non-conducting spherical shell of inner radius a=2.00cm and outer radius b=2.40cm has (within its...
4-velocity, the "mass shell" and potential energy
For a free relativistic particle we have the condition
E^2-\mathbf{p}^2c^2=m^2c^4.
putting p^0 = c^{-1}E we may write this as
p^\mu p_\mu = m^2c^2
And since p^\mu = m\frac{dx^\mu}{d\tau} = mu^\mu we may express the same condition as...
[SOLVED] Field of long cylindrical shell conductor
Homework Statement
Shown above is the cross-section of a long cylindrical shell conductor of inner radius a=4.00 cm and outer radius b=7.00 cm which carries a current into the page.
The current density J (current/area) is uniform across the...
A 36-kg shell is fired from a gun with a muzzle velocity 185 m/s at 59 degrees above the horizontal. At the top of the trajectory, the shell explodes into two fragments of equal mass. One fragment, whose speed immediately after the explosion is zero, falls vertically. What is the horizontal...
Homework Statement
A gun of mass 500Kg fires a shell of mass 2Kg with a muzzle velocity of 500m/s.
Calculate:
i) the velocity of recoil of the gun
ii) the force required to stop the gun in a distance of 0.25m
Homework Equations
The Attempt at a Solution
i)I got the velocity of...
Question: I have a thick spherical shell (inner radius a and outer b) with charge density = kr^2. I need to find the field and potential at all points in space and calculate the energy.
Is it possible to take the equation for the electric field of a solid sphere, and integrate from a to b? Or...
The problem reads:
Find the magnetic moment of a spinning shell of charge Q, radius R, and angular velocity \vec{\omega}.
My solution:
I split the sphere into infinitely small loops of current (from top to bottom) and add them up. I set my origin on the center of the sphere and...
Hello everybody, this is my first post here.
I need help with a task in General Relativity.
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Given we have a spherical shell in 2-space of radius \rho. With the line element:
ds^{2} = g_{ab} dx^{a}dx^{b} = \rho d \theta^{2} + \rho^2 sin^2(\theta) d \phi^2
(a,b \in 1,2)
Then...
Homework Statement
Figure 16.69
A thin spherical shell made of plastic carries a uniformly distributed negative charge -7e-10 coulombs (indicated as -Q1 in the diagram). Two large thin disks made of glass carry uniformly distributed positive and negative charges 1.7e-05 coulombs and...
I am confused how to determine the spin / parity of excited states.
In my textbook, one of the questions states:
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The ground state of the radioisotope 17-F-9 has spin-parity j_P = (5/2)+ and the first excited state has j_P=(1/2)-. Suggest two possible...
I am confused how to determine the spin / parity of excited states.
In my textbook, one of the questions states:
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The ground state of the radioisotope 17-F-9 has spin-parity j_P = (5/2)+ and the first excited state has j_P=(1/2)-. Suggest two possible...
Homework Statement
An insulator in the shape of a spherical shell is shown. The insulator is defined by an inner radius a = 4 cm and an outer radius b = 6 cm and carries a total charge of Q = +9 microC. You may assume that the charge is distributed uniformly throughout the volume of the...
Homework Statement
An infinitely long conducting cylindrical rod with a positive charge "lambda" per unit length is surrounded by a conducting cylindrical shell (which is also infinitely long) with a charge per unit length of "-2 lambda" and radius r1.
a) What is E(r) , the radial...
Homework Statement
Find the volume of the function rotated about the x-axis over the given interval:
y=1/x
on interval [1,4]
for this specific problem it says to sketch the region and express as a sum of two integrals.
Homework Equations
The Attempt at a Solution
I'm not sure why you...
E Field in a shell(!)
I have a shell with an inner radius 2m and an outer radius 3m and a cahrge q on the shell(distributed) , why is the E field at 1m is zero(charge enclosed is zero inside the sphere i can obtain it is zero but why doesn't the E field lines go into the shell)(this can be...
A hollow spherical shell with mass 2.10 rolls without slipping down a slope that makes an angle of 34.0 with the horizontal.
Find the magnitude of the acceleration of the center of mass of the spherical shell.
I understood that the friction force is normal to the slope and there is a...
I am completely lost on this one; An artillery shell is fired at an angle of 85.1 degrees above the horizontal ground with an initial speed of 1960 m/s. The acceleration of gravity is 9.8 m/s/s. Find the total time of flight. Can someone do it and explain how to do it?? Thanks so much!
[SOLVED] thermal expansion
hi everybody
my question is:
a spherical shell is heated. the volume changes according to the equation V(T)=V(0)(1+yT) where y=volume coeff. of thermal expansion. does this volume refer to the volume enclosed by the shell or the volume of the material making up the...
hi all!
is there anybody who can help me with shell balance?
one of my main questions is wat are the main assumptions wen we apply shell balance...
moreover.. can anybody suggest a gud book or site/tutorial wer i can get a hang of shell balance properly?
thank you!
Hi!
I have a project where I am supposed to model the s-process in a star in its Helium shell burning region, and i shall do this for a variation of neutron exposure, where neutron exposure are defined as:
\tau = N* \Delta t , t is time. N is number density of neutrons.
So I in...
Homework Statement
Show that the moment of inertia of a uniform thin spherical shell of mass m and radius a about a diameter is 2/3 ma^2
Homework Equations
Moment of inertia = Sum m x R^2
volume of sphere = 4/3 pi r^3
The Attempt at a Solution
I think i have to integrate the...
A half spherical shell as seen in the picture.
http://img219.imageshack.us/img219/3424/picnw3.th.jpg
charged with surface density \sigma(\theta)=\sigma_{0}cos\theta
Need to find the Electric field in center of the axis.
As I see the direction of the electric field is the Z axis...
Homework Statement
An artillery shell is fired with an initial velocity of 300 m/s at 55.0 degrees above the horizontal. It explodes on a mountainside 42.0 seconds after firing. What are the x and y coordinates of the shell where it explodes, relative to it's firing point?
We know that it...
Homework Statement
two problems. i am confused about their processes. they are almost the same but some things look strange.
problem 1:
A cannon on a level plain is aimed 50deg above the horizontal and a shell is fired with a muzzle velocity of 360m/s toward a vertical cliff 950 m away...
Hi guys,
I've been on a few message boards looking for a solution to my problem, but no one has really been able to help me yet. Here is the problem:
Question===================
Hi all,
this is my first post/thread, just starting out as a second year chemical engineer and I seem to...
A shell traveling with velocity vo explodes into three pieces of equal masses. Just after the explosion, one piece has velocity v1=vo and the other two have velocities v2 and v3 that are equal in magnitude but mutually perpendicular.
Find v2 and v3 and sketch their velocities.
In starting...
Using the conservation of momentum I need to show that a gun firing a shell will equal:
v=v(1+m)M
Where the gun of mass M shoots a shell with mass m and a velocity of v.
There are no external forces, ie the gun is free to recoil.
And its the velocity with respect to the ground...
This...
An insulating spherical shell of the external radius b and the internal radius a is charged uniformly with volume charge density p. What force F does it produce on a uniformly charged thin rod, as shown in figure2? Rod's total charge is Q and length 2a. The rod is arranged radially from the...
Homework Statement A long cylindrical insulating shell has an inner radius of a = 1.38 m and an outer radius of b = 1.61 m. The shell has a constant charge density of 4.80 C/m3.
1. What is the magnitude of the electric field at a distance of 1.87 m from the axis?
2. What is the magnitude...
For the configuration shown in the figure below, suppose that a = 5.60 cm, b = 19.8 cm, and c = 27.9 cm. Furthermore, suppose that the electric field at a point 13.7 cm from the center is 3.44 x 10^3 N/C radially inward, while the electric field at a point 47.0 cm from the center is...
Can someone tell me how the outer shell structure is determined from the electronic structure. I know i can look this up but I'd like to know how it is derived and are there any rules I should follow so i can determine them myself?