Homework Statement
A car is traveling on a straight road on a stretch that contains cities A, B, C and D.
The distance from city A to city D is 60 miles and the cities are evenly placed along the route. There are cell phone towers in each city. Each tower has a range of 10 miles in all...
Homework Statement
We have the application h: (C[0,1], R) --> (C[0,1], R), defined by
h(f(x)) = \[\int_0^x cos(f(t))/2\, dt \]
Prove that h is a contraction.
Homework Equations
Need to prove there exists k, 0<k<1 s.t.
sup_(x in [0,1]) \left|\int_0^x (cos(f(t)) - cos(g(t)))/2\, dt...
Homework Statement
A sample of two different irons, Fe2+ and Fe3+, are accelerated by the same potential and then sent through the uniform magnetic field of a mass spectrometer.
a) Which ion moves faster after being accelerated? Justify your answer by referring to equations used in this lesson...
I am designing a small satellite which uses a magnetometer and some coils (which interact with Earth's magnetic field) to provide attitude control.
The strength of the geomagnetic field is 30 uT to 60 uT (according to Wolfram Alpha), and the magnetometer has a resolution of 0.015 uT.
The...
My question concerns the affect of the curvature of space on a stationary object. I understand that the force of gravity is more accurately described as space curvature. Ie, a massive object like the sun or Earth can be visualized as a bowling ball placed on a rubber sheet, creating a curvature...
Homework Statement
What are the applications of free fall in our daily life?
Homework Equations
How is it applied?The Attempt at a Solution
One example is sky diving,I need to know more.
A sky diver must have knowledge on the concept of free fall
like what position he/she should be into...
So I have to show that a projection P (i.e a linear operator with P=P²) on a Banach space X is bounded if and only if \ker (P) and P(X) are closed subspaces of X.My idea was to boil it down, using the closed graph theorem. What's left for me now is to show that the graph G(P):=\{(x,y)\in X\times...
Homework Statement
1) integral(0 to infinity) ((sqrt(x)*log(x))/(1+x^2))dx
2) integral(-infinity to infinity) (cos(pi*x)/(x^2-2x+2))dx
Homework Equations
The Attempt at a Solution
I know I have to post all the steps and show the work, but in this case,
I have more than 2 pages of...
Homework Statement
Use l'Hospital's Rule when necessary (you may not need to use it at all). Find the limit.
lim as x approaches 1 of (x^a-1)/(x^b-1)
Homework Equations
The Attempt at a Solution
Ok well, if you sub in 1 for all the x values you get an indeterminate 0/0 i...
find the following:
if a particle (s=1/2) is prepared such that it is in the spin up state |f>=|z+>
what do the following mean? [<f|(Sz - <z+|Sz|f>1)^2|f>]^½ and
[<f|(Sx - <f|Sx|f>1)^2|f>]^½
The middle term sandwiched between the states is squared and the whole term being square...
Case in example:
If a motorbike is being riden down a steep hill and out of gear with no brakes applied; would this be more unstable than if the bike were in-gear using engine braking?
(Above condition being at the same speeds).
sorry folks i don't even have an idea to this question`s solution so i hope u people may like to help me. i`m stuck to it since last week nd i hope its from partial derivative... please suggest me a book or a hint or the solution.
Let a long circular cylinder of unit radius be placed in a large...
I am desperately in search of a book titled " Lasers theory and application" authored by Ajay Ghatak. I will be grateful if someone kindly provides me the soft copy of the book or atleast provide me a source to obtain the same.
I have a function for velocity, V in terms of position, x. The equation is of the form V(x) = a*x2+b*x+c. Initial conditions are x=0, t=0.
How do I change from V(x) to V(t)? It seems this would be an application of the chain rule, dy/dx = dy/du * du/dx, but I'm struggling to adapt it to...
So I'm about to apply to grad schools in physics and applied math, but had a few questions about what to say in my application. I got my undergrad degrees in them last December, but took some engineering classes (in mechanical/aerospace engineering) the following semester, and have done some...
I got a job as an Application Engineer HVAC.My duties include assisting the sales team,preparing tenders and conducting selection of AHU's.Please tell me the steps i have to take inorder to become an HVAC design Engineer.
I've never had a job before and I'm applying to Fred Meyer online; problem is, I don't know which positions I should apply for, so here's a list:
Apparrel/Shoe clerk
Bakery Clerk
Cashier
Coffee Barista
Courtesy Clerk
Deli Clerk
Food/produce Clerk
Grocery Clerk
Health/Beauty Aid Clerk...
Ex 36, p 147.
Let f be a function from the set A to the Set B. Let S and T be the subset of A. Show that
b) f(S \cap T) \subseteq f(S) \cap f(T).
Thanks.
Hello again,
I have a little dilemma that I have spent a lot of time thinking about, and I was hoping someone here could help me out, it would be very kind of you to do so.
During the last UCAS application process I got accepted to an undergrad programme in Physics at Heriot-Watt...
Homework Statement
To move a large crate across a rough floor, you push on it with a force F at an angle of theta=21.0 degrees below the horizontal. Find the force necessary to start the crate moving, given that the mass of the crate is 32.0 kg and the coefficient of static friction between...
Homework Statement
The plates of a large area parallel plate capacitor of area A are separated by a short
distance. The plates carry an equal but opposite charge \pm q.
(a) What is the electric field strength E(q,A) inside the capacitor?
(b) By how many percent does the electric field...
Homework Statement
There's a question that i tried to solve in a "Newtonian way",but i could only solve it using the concept of energy:
supposing that the human bone only tolarates a force of 48.000 N without braking.Calculate the maximum hight H from where a man could jump and the bone...
Right now I am applying to approximately 20 PhD programs while having to work a full time job and I think I am going to die. I constantly find myself having to spend hours and hours on websites digging through schools' websites to find information that is buried on how to apply, deadlines, etc...
Can one say a body which has the conditions above mentioned be in thermal equilibrium? How does one apply the definition of temperature equilibrium to this situation?
(Physically I think it's possible for a body to be in this situation if some part of it receives heat from the outside and...
Homework Statement
find tan(theta) if sin (theta/2) = 3/5
Homework Equations
sin(theta/2) = sqrt[(1-cosx)/2]
The Attempt at a Solution
my attempt:
first since we know the half angle formula for sin, let sqrt[(1-cosx)/2] = 3/5
simplifying the...
I'm interested in applying to a top mathematics grad. school like Harvard, Chicago, or Princeton. I'm wondering what my chances are and I'm especially interested in what would happen in the following scenario:
I've taken only math courses my entired undergrad. education and I've taken grad...
Homework Statement
vector A = 1.5i + 6.7j - 7.4k
vector B= -8.2i + 6.5j + 2.3k
(f) What is the magnitude of the component of vector A perpendicular to the direction of vector B but in the plane of vector A and B.
The Attempt at a Solution
This part of the problem has me kinda...
Homework Statement
A farmer is planning to build six adjoining rectangular pens of equal size to house his hens, as shown in the diagram. He only has 180m of fencing, however, and he wants to make the pens as large as possible. Find the maximum area he could make each pen.
The diagram is...
I have a 400A (125VDC) charger that feeds a battery bank and a few DC panels (critical). This poor design has the panels being fed from the high side of a 600A breaker that is between the charger and battery bank. I need to take the battery off line for a load test but the problem I'm going to...
Homework Statement
In his presentation of the de Broglie wavelength and the wave/particle duality, my quantum prof. has an exercise: "Find the de Broglie wavelength of a molecular vibration. Do quantum or classical laws apply?"
Homework Equations
wavelength = h/(momentum)
...
I wanted to create a GUI that would launch a series of .exe files
My biggest problem right now is I do not know how to program the buttons to launch the executable files.
I have done some coding with C# but never any GUI work and not sure how to start.
I also wanted to see if there was...
Homework Statement
A circular ring of radius a carries a uniform charge q C/m and is placed on x-y plane with axis same as z axis. To determine E at P(0,0,h). My ques is can't we apply gauss theorem? if yes then what will be the gaussian surface? if no then why not?
Homework Equations...
1. A car, 5 km distance from a station, take 100 A over a 100 mm hard drawn copper trolley wire having a resistance of 0.270 ohm per km. The rail and ground return has a resistance of 0.06 ohm per km. If the station voltage is 750 V, what is the voltage of the car?
Homework Equations
I...
Homework Statement
Evaluate the following integrals
I_1 = \oint \vec{r} (\vec{a} \cdot \vec{n}) dS
I_2 = \oint (\vec{a} \cdot \vec{r})\vec{n} dS
where \vec{a} is a constant vector, and \vec{n} is an unit vector normal to the closed surface S.
Homework Equations
Stokes'...
Hello
I am going to post here a problem that I've been working on for quite some time, and I haven't managed to obtain a good answer.
To approximate free-field conditions in the numerical solution of wave equation PDEs, the following coordinate transformation is often applied to implement...
1.A large superball and a small superball are dropped from the same initial height H. Both balls bounce back up to a height h , which is just a bit less than H. If, however, the small superball is placed immediately above the large superball and both are dropped to the ground simultaneously from...
My professor recently tasked me with first understanding maxwell's stress tensor and then applying it to analyze the force produced by a linear pull type solenoid.
However after having studied the stress tensor I am not sure that I can apply the stress tensor to a solenoid. I don't believe...
Hi :)
i can finish my application by mid September but i will not have enough time to prepare for the verbal section of the GRE, how important is it? should i take an extra month to prepare for it ?
how important is finishing an application early for graduate schools?
some schools don't look...
Hi guys, I'm working on a keygen project on C++.
Type is Win32 Console Application.
For what I've learnt, I'm using stdio.h, conio.h, stdlib.h. time.h so everything is in printf and scanf (not using cin cout namespace std etc)
So far I have not yet learned strcompare, dynamic memory so I have...
More and more I'm thinking that I'd like to do high energy physics in grad school. But at the same time I recognize that I'm not a genius and the competition is very stiff in high energy physics. So I'm wondering if applying to a particular school for their high energy program would make it...
I am about to talk to a prototype company and need some advice on O ring, friction and seals.
I am creating a device that works on slight water pressure differential. I have a piston like structure that is cylindrical and there will be an o ring inside the cylinder. The gas/liquid that the o...
Homework Statement
question 3 part b ( see attachment)
Homework Equations
thevenin theorem
The Attempt at a Solution
the answer should be 10.98v for Vth (thevenin equivalent voltage)
all my attempts were unsuccessfull.
I found voltages such as 22.2 volts
i think I lake...
First off, I'm just learning the ropes of electricity, solar energy, batteries, wiring batteries in series and parallel, AC, DC, DC to AC Conversion and all that. But I do have the same need of energy as everyone else and a strong interest in finding ways to make my life a little less power...
I am trying to deploy my oceanic model currently runing on ubuntu linux and compiled with intel fortran on a cray sv1 machine with UNICOS operating system.
It actually went quite well until i tried to read unformatted files. i am using the following code to export the data to the new machine...
Assuming I'm capable of passing the test to become a member of Mensa, do you think that it would be a sufficiently impressive addition to a physics graduate school application to be worth the cost (about $40, I think) and effort (a test in a nearby city) of becoming a member?
Homework Statement
Assume that a pressure wave produces a change in pressure at a point in space \Delta P(t) which is proportional to a sawtooth function of frequency f = 1/2 Hz.
(i) If the amplitude of the pressure wave is \Delta P_{0}, write down an expression for \Delta P(t).
(ii) Two...
The Wikipedia article Divergence, in the section Application to
The Wikipedia article Divergence, in the section [i]Application to Cartesian coordinates, says of the del-dot formula for divergence, "Although expressed in terms of coordinates, the result is invariant under orthogonal...