Homework Statement
1) Find the expression for the equilibrium interatomic distance as a function of A, n, and α
2) Determine the expression for the binding energy at equilibrium.
3) Calculate the constant n for NaCl, using the data from the Table 1.2 of Omar book and the fact that the...
Suppose I have a region R whose boundary extremely complicated. While it would take me hundreds of years to approximate the boundary with formulae, I can easily estimate the area of R within a desired precision. I want to find the volume of the solid of revolution of R .
My intuition told...
Homework Statement
Find the volume of the solid that the cylinder r = acosθ cuts out of the sphere of radius a centered at the origin.Homework Equations
Cylindrical coordinates: x = rcosθ, y = rsinθ, z=z, r2 = x2+y2, tanθ = y/xThe Attempt at a Solution
So I know that the equation for the sphere...
Can anyone explain point 44 of the attached pdf document on surface tension.
(Here's the link in case attachment doesn't work:
http://www.sakshieducation.com/EAMCET/QR/Physics/Jr%20Phy/12Surface%20tension%20_198-208_.pdf)
How is the surface tension direction found out?
Also why is...
Im having a discusion reguarding what temperature (celsius) supercooled water needs to be if it was to freeze completely solid. Going from liquid to solid "produces" heat. Therefor it is obvious that the temperature needs to be somewhat below zero.
What temperature (celsius) is needed if all...
Here is the question:
Here is a link to the original question:
Find the volume V of the solid obtained by rotating the region bounded by x=16-(y-3)^2, x+y=7 about the x-axis? - Yahoo! Answers
I have posted a link there to this topic so the OP can find my response.
First, let's take a look...
Hi, I'm still practicing how to find volume.
1. My problem is this:
"Find the volume of the solid described below:
The base of the solid is the disk x^2 + y^2 ≤ 4. The cross-sections by planes perpendicular to the y-axis between y=-2 and y=2 are isosceles right triangles with one leg in the...
Author: Charles Kittel
Title: Introduction to Solid State Physics
Amazon Link: https://www.amazon.com/dp/047141526X/?tag=pfamazon01-20
Prerequisities:
Contents:
Homework Statement
Use approximations to find the number of free electrons in a 4mm diameter solid sphere of copper. What fraction of its electrons have to be removed to leave a sphere with a charge of +50μC? Note that density of 29_Cu is 8.96 g/cm^3 and molar mass 63.54g/mol
Hint: Atomic...
I read that if the cone with apex angle 2α whose central axis is vertical, apex at the origin, then one can use spherical coordinate to calculate the solid angle of the cone
∫02∏∫0αsin\varphid\thetad\varphi
However, what if the central axis is align to y-axis horizontally, instead of...
Homework Statement
From K&K's 'Intro to Mechanics'
Find the shortest possible period of revolution of two identical gravitating solid spheres which are in circular orbit in free space about a point midway between them.
Homework Equations
The Attempt at a Solution
So I figured...
This is only an example from Kraus Antenna 3rd edition page 404. The question is really a math problem involves calculation of ratio of solid angles. Just ignore the antenna part. this is directly from the book:
Example 12-1.1 Mars temperature
The incremental antenna temperature for the...
i want to compare force on current carrying conductor ,
1)placed in air surrounded by magnetic field
2)placed in the cylindrical cavity(without air gap but some electrical insulation) which is placed in magnetic field.
please give me practically calculated answers with calculations.
I've never heard it said before but it appears to me that all electrical current that flows in a solid state component system; processors, diodes, transistors, resistors, etc. is eventually dissipated as heat. What are your thoughts about this?
I was watching a video on the internet about charge distributions over solid conductors. The solid conductor was heart shaped which was positively charged. The lecturer in the video said that when you touched this conductor, the charge would distribute itself non-uniformly over the surface of...
So I am given that the gravitational potential of a mass m a distance r away from the center of a spherical shell with mass m' is -Cm'/r for m outside the shell and constant for m inside ths shell.
I am to find the potentials inside and outside a solid sphere (the earth) of radius R as well...
Ok, so the formula I know to find weight is W=mg. Why is it that when doing a sum of forces in z they multiply (distance)(mass)(gravity) and not simply sum the gravity force that is mg?
Homework Statement
Find the volume of the solid generated by revolving the region bounded by the graphs of y2=4x, the line y=x, about
A) x=4
B) y=4
So first I start out by graphing it
The intercepts are at 0,0 and 4,4
I use the washers method since there is a gap in between the...
Homework Statement
Find the volume of the solid that lies above the cone
ϕ=pi/3
and below the sphere
ρ=4cosϕ
.
Homework Equations
Find the centroid of the solid in part (a)..
The Attempt at a Solution
For the volume I got 10pi which I am fairly sure is correct. I attempted trying to...
deciding between 2 grad courses next semester, solid state and stat mech. I've already taken the undergrad versions of both. Got an extremely low grade in solid state the first time, A in stat mech. Currently grad student in condensed matter physics.
The solid state class will focus on...
Good morning everyone! I have been presented the following problem:
Find the volume of the revolution solid around the $x$ axis of the region between the curves $y=x^2 +1$ and $y=-x^2 +2x +5$ for $0 \leq x \leq 3$.
Finding the intersection of the curves yields $x=-1$ and $x=2$. Therefore, I...
Homework Statement
panofsky 10.3
Find the torque on a solid conducting cylinder rotating slowly in a uniform magnetic field perpendicular to the axis of the cylinder.
The Attempt at a Solution
let the radius of cylinder r, and the conductivity is σ, the rotating angular...
Homework Statement
We have a steel rod with density ρ = 7,90 kg/m^3. When it's horizontally on the floor, it's length is L = 6,00m. The rods surface area A is a circle with radius r=0,04m. Steel has Young modulus E=2,1 \cdot 10^{11}
Now the rod is lifted up so it's vertically straight...
Hi,
I have a question concerning solid of revolution.
The bowl-shaped volume formed by rotating the area circumscribed between y=bcosh(1) and y=bcosh(x/a) around the y-axis was given to us by the instructor as pi*b*int [x^2*d(cosh(x/a))] between 0 and a.
My question is why are the integration...
Homework Statement
The solid bounded by the surface z=y2 and the planes x=0,x=1,z=1
I have a question regarding the limits of integration, would it be incorrect, if when I graphed z=y2
I changed it to a familiar xy graph instead I just graphed it as if z was y and x was y.
Pretty...
Homework Statement
2.0 moles of a monatomic gas interacts thermally with 2.0 moles of an elemental solid. The gas pressure decreases by 50 degrees C at constant volume. What is the temperature change in the solid?
I missed this day in class and I have no idea where to even begin...
Hi!
I am about to start a project on the effectiveness of conformal cooling in injection molding, where i will be designing the cooling channels for a mold. However, i do not know which software will be better for designing the cooling channels and performing the finite element and heat...
Homework Statement
A thermometer for medical applications to determine the time required for the tip to reach a temperature of 37.95 C when in contact with the skin temperature of 38 C, starting from an initial value of 25 ° C.
Admit that the tip of the thermometer is completely metallic...
Energy, Angular Momentum, Torque, solid ball rolling down loop track? help!?
A solid brass ball of mass .280g will roll smoothly along a loop-the-loop track when released from rest along the straight section. The circular loop has radius R = 14.0 cm, and the ball has radius r<<R.
(a) What is...
Homework Statement
A solid's thermal expansion coefficient is defined as
δ= \left(\frac{1}{V}\frac{∂V}{∂T}\right)
In the Debye model and at the low-temperature limit, show that δ is a positive quantity and is proportional to T^{3}. At the high-temperature limit, show that δ is still...
Hi there!
I run into a situation where I can't go on. It's about a thermal analysis, I already made a simulation using Ansys but I also want an approach made "by hand".
In order to simplify the case I made this example:
We have a metallic bar inside the soil. The bar is at 100ºC and the...
Homework Statement
I need help setting this integral up in spherical coordinates, the region above the xyplane, inside the sphere x^2+y^2+z^2=2 and outside the cylinder x^2+y^2=2
The Attempt at a Solution
\int^{2\pi}_{0} \int^{\pi/2}_{\pi/4} \int^{\sqrt{2}}_{0}...
Hello,
I am struggling with what was supposed to be the simplest calc problem in spherical coordinates. I am trying to fid the center of mass of a solid hemisphere with a constant density, and I get a weird result.
First, I compute the mass, then apply the center of mass formula. I divide...
Homework Statement
I have an energy function as follows:
E = \dfrac{\hbar^2}{2m_e}k_x^2+E_0\left(n_y^2+1\right)
Where E_0 = \dfrac{\pi^2\hbar^2}{2m_eL_z}
I am asked to plot this energy for x\in ]-L_z/2;L_z/2[
I know everything but not the relation between k and x?.
The Attempt at a...
Homework Statement
I want to convert this into polar and use double integral to find the volume of the solid in this region. I just need help setting this up
region
Q: x^2+y^2≤9, 0≤z≤4
I know this is a cylinder with a height of 4.
I am just having trouble incorporating this height into the...
\frac{}{}Homework Statement
Starting from S(E,N)=c(N)+3Nk[1+LN(\frac{E}{3Nh\nu})], derive a version of the Entropy, S(E,N) of an ideal solid that is extensive, that is, for which S(\lambdaE,\lambdaN)=\lambdaS(E,N)
Homework Equations
The Attempt at a Solution
Basically have to...
Hi,
What is the difference between alloy compounds and solid solutions
I understand so far that solid solutions are homogeneous in composition, which must mean that one, two or more different atoms have same crystal packing structure when combined to form a solid solution.
Homework Statement
James Bond and Dr. No are engaged in fisticuffs on a board overhanging a pool. Dr. No now pulls out his weapon. oh no!. Bond is in trouble again. Bond quickly calculates the torques and leaps off the left end of the board leaving Dr. No on the right. Is Bond safe? That is...
Hi,
So here is the contents of this Elementary Particles course:
introduction to families of particles , relativistic kinematics applied to reaction cross-sections and decay rates; symmetries and conservation laws, isospin, strangeness, charm, beauty; parity and CP violation in weak...
Homework Statement
the function is y = -x^2+6x -8
suppose a city is surrounded by a ring of mountains and these mountains can be illustrated by rotating the above function around the y-axis. Find the volume of the Earth that makes up these mountains.
Suppose the city suffers from air...
Homework Statement
Consider the region of the x y plane given by the inequality:
x^2 + 4x + y^2 - 4x - 8 ≤ 0;
If this region rotates an angle of π/6 radians around the line given by the equation x + y = 0, it will create a solid of revolution with surface area equal to
(i)...
Hey guys, I know it late its a little past one here. But I'm doing an assignment due tomorrow at I've been stuck on the last question for at least an hour.
Find the volume of the solid obtained by rotating the region bounded the curves
Y=absolute value of x. and y = square root of (...
Hello, I'm new in here. And now i am in research about elektron transfer between solid material.
Is this possible and reversible ? Does anyone ever try this ?
Homework Statement
Let E be the solid enclosed by the paraboloid z = x2 + y2 and the plane z = 9. Suppose the density of this solid at any point (x,y,z) is given by f(x,y,z) = x2.
Homework Equations
x2 + y2 = r2 = 9; r = 3
∫∫∫E x2
The Attempt at a Solution
The limit of z is...
Homework Statement
This was a question from my homework. I got it wrong, even after asking my professor about it, and even though I can't get credit for it now, I'd like to know where I went wrong if anyone can help sort me out!
"Water is drawn from a well in a bucket tied to the end of a...