Fundamental Definition and 947 Threads

No idea what to do here, really tough question, can i get some assistance please? Homework Statement The equation of a traveling transverse wave is y=2.0sin 2π(x/30 - t/0.01) where x and y are in centimetres and t is in seconds. When attached at both ends, a string under a tension...

what i'd like to know is simply put this way: is energy fundamental or emergent? but more importantly, this is a fact or fiction question seeing as they (fundamental and emergent) are oposites, so can we all agree on one answer? what i mean is whatever your "opinion" at the end of the day...

What would be the most fundamental equations in physics? For example, I know that all of electrodynamics can be obtained from Maxwell's Equations; therefore, Maxwell's Equations would be a complete set of the most fundamental equations of EM. However, something like PV=nRT can be derived from...

This is not a question I need to work out but I'm trying to understand this theorem. My lecture notes state: 'This theorem states the existence of solutions to the Frenet - Serret Equations that, apart from the possibility of a rigid motion, are uniquely determined by any choice of smooth...

I was asked this question by someone else and wondered if I could get better answers here: Is it fair to say that the standard model for matter is basically descriptive, without any underlying understanding of what causes its structure? Can it be compared it to the periodic table of...

My Fundamental Math Failing This should illicit a chuckle or perhaps despair in humanity. The statement "One silver piece is equivalent to two copper pieces" is not equivalent to the equation "S = 2C" (Where S = silver and C = copper). I cannot for the life of me figure out why. I can work...

*using complex analysis. (sorry couldn't post the entire thing in the thread title). It seems there is a common proof of the fundamental theorem of algebra using tools from complex analysis, namely Louisville's theorem and the max. modulus theorem. Here is an example proof from proof wiki...

Homework Statement Two open tubes both have actual length 1m but their diameters are D=1 cm and D=10 cm. Alowing fro end corrections, what are their fundamental frequencies? Homework Equations the only equation in my book that deals with Diamter is N(Critical...

Homework Statement How many natural numbers are there with the property that they can be expressed as the sum of the cubes of two natural numbers in two different ways. Homework Equations N/A The Attempt at a Solution I don't understand how should i start. :( Can somebody give...

So I want to get all the Equations that describe classical Physics together because I think it would make a kick *** poster. Tell me if I am missing anything or if you don't think one should be on here. [PLAIN]http://img694.imageshack.us/img694/9646/classicalequations.gif

I read the following in Fowles & Cassiday's Mechanics: "The correct motion that a body takes through space is that which minimizes the time integral of the difference between the kinetic and potential energies" or \deltaJ = ∫ L dt = 0...

If one were to subtract the kinetic energies of all fundamental particles within hydrogen, as well as all of the potential energy of all bound states between these particles, how much mass (as a percentage of the total) would remain? Ignore the kinetic energy due to the hydrogen's speed.And...

Show that there are two abelian groups of order 108 that have exactly one subgroup of order 3. 108 = 2^ 2 X 3 ^ 3 Using the fundamental theorem of finite abelian groups, we have Possible abelian groups of order 108 can be : Z108, Z4 + Z27, Z2+Z2+Z27, Z4+Z9+Z3, Z2+Z2+Z9+Z3, Z4+Z3+Z3+Z3...

Hello, trying to figure out exactly what is going on in this question. Homework Statement (a) If P(z) is a nonconstant polynomial, show that |P(z)| > |P(0)| holds outside some disk R |z| ≤ R for some R > 0. Conclude that if the minimum value of |P(z)| for R z ≤ |R| occurs at z_o...

Hello, I just need help deriving the fundamental equation from Equation of state for wan der waals fluids. P=\frac{RT}{v-b}-\frac{a}{v^2} and u=cRT-\frac{a}{v} where a,b, and c are constants. I know the fundamental equation is dS=\frac{1}{T}dU+\frac{P}{T}dvI solved the u equation so it's...

Hello, if I have a fundamental solution, ,f, to a partial differential equation L(f)=0, where L is the differential operator, is that true that the derivatives of the fundamental solution, like D(f), will also be solution to the partial differential equation? Intuitively, is it because things...

Homework Statement Shown in Picture attachment Question number 6 Homework Equations Not sure..I'm fresh on physics at the moment.. :( The Attempt at a Solution Givens T1 = 250N T2 = 160N L1 = 45cm L2 = 56cm f1 = 450Hz f2 = ? I'm pretty clueless at the moment.. :(

Homework Statement Consider the fundamental equation S = AUnVmNr where A is a positive constant. Evaluate the permissible values of the three constants n, m, and r if the fundamental equation is to satisfy the thermodynamic postulates and if, in addition, we wish to have P increase with U/V...

I read in this weeks Time (or maybe it was Newsweek) a statement that I have heard numerous times over the years and dismissed as nonsense but it occurred to me now that it has been 45 years since I took college physics and maybe I'm remembering something incorrectly, although I don't think so...

Take 4 pennies and 2 dimes. Now assume that you have no way to distinguish the pennies from each other and no way to distinguish the dimes from each other, but you can tell the difference between a dime and a penny. For each of the following situations, how many different ways can you pull...

A block is resting on a frictionless surface as shown in the figure attached with this post. Calculate the minimum force F required so that the block will topple? The dimensions of the block, free body diagram and other details are there in the picture attached. Now, since the surface is...

If somthing falls 10 meters (at 10m/s), ignoring air resistance, why does it take 1.4s to land instead of just one? I suppose i am simply having a brain fart but this is bothering me...

What is it about gravity that is not yet understood unlike other fundamental forces. Isn't gravity just another force like the other three fundamental forces.

This is a very basic question in understanding General Relativity, but the answer still eludes me. The simples way I can state it is: "what exactly represent the 4 basis vector at a certain point on the manifold?" But let me explain myself. Let's take a 4 dimensional Minkowsky space. In this...

Is there any proof that quantum mechanics is truly fundamental? that is , QM is not an approximation to another more fundamental theory . If this is the case then maybe all theories beyond the standard model that are based on quantum mechanics are only approximations to the true theory of nature .

How does fundamental group determines number of possible quantum statistics? Why is number of possible statistics equal to number of different possible paths?

Homework Statement Given two tori, the two-holed torus can be formed by removing the interior of a small disk from each and identifying the boundaries. Compute the fundamental group of the two torus. Homework Equations \pi_1(T^2) = \mathbb{Z} \times \mathbb{Z} The van Kampen Theorem...

If kinetic energy or the collisions that result from the increase in temperature, isn't a fundamental force, which of the four does it below in the category of? The force of collisions and the resultant changes it brings about to the state of the particles involved (i.e. changes of momentum)...

I'm confused. What's the difference between f(x) and f(t)?

Hi all, Sorry, I'm not quite sure that I've posted this question in the proper place, but I figured field theory matches best with lie groups in this context. Anyway, my question has to do with the relationship between the fundamental forces (electromagnetism, weak, and strong) and their...

I've always thought that the following was true but posts in another thread lead me to believe I might have a fundamental misunderstanding. The other thread was a different topic and I didn't want to hijack it, so here's my question. What I THOUGHT was true but am not now sure about: an...

Confused! -- Max frequency versus fundamental frequency Hello I understand the following question is very silly, however I am not sure about the answer. Let's consider we are saying there is a signal with a frequency of 4 Hz (for example). In such a statement, does it mean the maximum...

I have always been critical of the idea of Planck units. They seem to be something conjured from numerology - particularly in view of the fact that it is possible to arrive at diffeent values of the so called fundamental dimension(s) by combiing different constants. But I recently had reason...

A physics hobbyist such as myself, trying to understand high-energy experiments from the recent decades, often hears about symmetries in the model, conservation laws, Feynman diagrams and so on. These are all intuitive properties but very far from a basic world view of "what happens...

Hey guys! I got the offer a few weeks ago and I was wondering if anyone knows what to expect when I go there this October. I am feeling kinda nervous about it since getting the offer seems like a longshot when I applied(didnt get 1st, is currently a 2:1). Any advices, thoughts and comments...

Why do we say that f is a function of t and then take the derivative of the integral with respect to x? This confuses me because x is also the upper limit of integration.

Observations show that the current density of the Universe is close to the critical density: rho = 3 H_0^2 / 8 Pi G Assuming a spherical observable Universe of constant density, together with the relation c = H_0 * R, one can rearrange the above equation to give the relation: G * M / R...

The gravitational force between planets and stars is often depicted as curvatures in space-time but the reason why matter causes space to warp usually isn't explained. About 2 months ago I set out to visualize and write down why matter -the accumulation of particles- bends space to the extent...

If you slowly drop an electron onto a proton, you will form a hydrogen atom. In the lowest energy state, it's stable. Why isn't the lowest energy state an electrostatic-driven collapse of proton and electron? More specifically, which of the four fundamental forces pushes back on the...

Homework Statement Could someone give me some examples of the four fundamental forces? (Not their definitions) Homework Equations None.. The Attempt at a Solution -Strong nuclear force: -Weak nuclear force: -Electromagnetic force: Starting a car? Picking up paperclips with a...

Which are the Fundamental Universal Costants? With "Fundamental" i mean the ones that are not obtainable from others: for example, the light speed c is not fundamental, because is 1/sqrt(epsilon0 mu0)...

If we have a circuit with one resistor in series with a voltage source like given in the link then at all points before the resistor the voltage is the same, and after the resistor the voltage at all points along the wire is the same, as there is no potential difference between two points before...

The fundamental frequency of a spring that is 25 cm long is 441 Hz. In order to produce a fundamental frequency, using the same spring of 525 Hz, the string must be shortened to what length? I'm honestly not even sure how to start this question. Please help :(

I'm reading the differential equations chapter of Advanced Calculus by Loomis, and have some questions. First it proved the following theorem: Let A be and open subset of a Banach space W, let I be an open interval in R, and let F be a continuous mapping from I X A to W which has a...

First of all hello, I am new to this forum and I decided to join in order to exchange some information with other members that are more knowledgeable than me in the area of diff. geometry. My background is computer science but I am not a student. I am only now starting to learn about diff...

Is entanglement a fundamental constant? That is, can a particle with a spin in one direction exist, without being paired by entanglement with some other similar particle with a spin in the opposite direction, somewhere in the universe -- so that the net spin of all such entangled pairs always...

Hi, I am a physics grad student, hoping to do theoretical cosmology. I've recently been thinking a lot about practical things like career tracks, postdoc jobs, etc. So I thought I'd ask a couple questions here to see what others think: 1) I hear that the job scene for fundamental theory...

I have recently been reading some of the slew of additions to the genre of layman's cosmology detailing the possibility of one (if not many!) multiverse theories. The books that I have read (including Greene's and Barrowman's) have been truly informative and I highly recommend them. I am...

Homework Statement Calculate the fundamental frequency of a steel rod of length 2.00 m. What is the next possible standing wave frequency of this rod? Where should the rod be clamped to excite a standing wave of this frequency? Homework Equations Fn=nv/2L The Attempt at a Solution since the...

Isn't mass basically one or more atoms (in part or in whole)?