Relationship Definition and 999 Threads

{ y }_{ f }={ y }_{ i }+{ v }_{ yi }t+\frac { 1 }{ 2 } { a }_{ y }{ t }^{ 2 }\\ { v }_{ yf }={ v }_{ yi }+{ a }_{ y }t It almost looks like the second equation is the derivative of the first equation with respect to time.

Hi, Firstly, I'd like to thank PhysicsForums and its members for helping me during my last couple of visits (around 7 months ago). With your help I managed to achieve an A at AS Physics (a UK exam)! I am doing some basic concepts on internal energy etc and I came across the following...

In order for a satelite to achieve an orbit around the Earth the centripetal force of it needs to be exactly the same as the force of gravitation which is acting upon the satelite. Why is this so?

Let's focus specifically on AC circuits and a mass on a spring since those are the types of SHM I know. Does the phase relationship matter? For instance, with a mass on a spring, position and velocity are 90 degrees out of phase. But does it matter to say which leads the other? After all...

Homework Statement Determine which binary relations are true, reflexive, symmetric, antisymmetric, and/or transitive. The relation R on P = {a, b, c} where R = {(a, a), (a, b), (a, c), (b, c), (c, b)} Homework Equations The Attempt at a Solution Not reflexive because there is...

Homework Statement Determine which binary relations are true, reflexive, symmetric, antisymmetric, and/or transitive. The relation R on all integers where aRy is |a-b|<=3Homework Equations The Attempt at a Solution The relationship is reflexive because any number minus itself will be zero...

Are QED/QCD themselves field theories or sub-field theories of other more general field theories? What are the formal theories/theoretical frameworks that completely characterise the Standard Model in our present state of knowledge? IH

Let a and b be real numbers with a<b, and let x be a real number. Suppose that for each ε>0, the number x belongs to the open interval (a-ε, b+ε). Prove that x belongs to the interval [a, b].

Homework Statement To establish a big - O relationship, find witnesses C and k such that |f(x)| <= C|g(x)| whenever x > k. Show that x^3 is O(x^4) but that x^4 is not O(x^3). Homework Equations If f(x) is O(g(x)) then there is a C such that f(x) <= Cg(x). The Attempt at a...

In Einstein field equations,the term that is responsible for curving Space-Time is the Stress-Energy tensor.But we know that mass should be able to curve space-time.So I think every mass distribution should have a Stress-Energy tensor associated with it. What is that relationship? Thanks

Hi all, I was curious about how i would go about showing that samples of a variable separated in time may have a causal relationship. This actually may be more stochastic processes than pure statistics becuase I'm assuming random variables X, Y have distributions f(x; k), g(y;k) where k is...

Does latent heat of fusion typically go up or down with temperature? I'm trying to calculate the amount of pressure needed to move the melting point of Thorium Dioxide up by 444 degrees kelvin using the Clausius-Clapeyron Law to see whether it would be feasible to line the combustion chamber of...

Homework Statement operators: K=LM and [L,M]=1 α is an eigenvector of K with eigenvalue λ. Show that x=Lα and y=Mα are also eigenvectors of K and also find their eigenvalues. Homework Equations K=LM [L,M]=1 Kα=λα The Attempt at a Solution I tried, but its not even worth...

Hi guys, I got a question in the solid state physics book written by ashcroft and mermin. This question is about the relationship between momentum and force. Suppose we have an electron with momentum p(t) at time t. If there is a force f(t) acted on this electron in the ongoing infinitesimal...

Task So I am writting a lab, and one of the testable questions required me to come up with a relationship between position and kinetic energy. In the lab a cart is released on a ramp and the end point of the cart is used as the reference point (h=0). We formed a position time graph and we...

Homework Statement Show that: ∫f(sin(x))dx = ∫f(cos(x))dx where each integral is over the limits [0, \pi/2], for a 'well behaved' function f. 2. The attempt at a solution I have tried relating sin(x) and cos(x) and somehow rearrange one of the integrals to look like the other. Since...

Hi, So here's my latest problem as I get to grips with Mathematica. I will give a simpler version of the one I am actually doing. I started with a closed set of differential equations. Consider the following equations a'(t)=P*b(t) b'(t)=P^{2}*a(t) with known initial conditions and P is a...

How are orbits and cosets related? Are all orbits cosets? Are all cosets orbits? Also, what exactly are G-sets and G-equivariant sets?

Homework Statement The continuity equation provides a second relation between the vA and vB, this time in terms of the diameters d and D. Numerical check: If the diameters are d = 1 cm and D = 10 cm, what is the ratio of the speeds, vB/vA? Homework Equations To clarify, is both d and D...

I need to know how to identify the expression for the constant term in a power relationship. The power relationship is a relationship I imagined on a graph. On the graph both the values on the x and y axis's would be increasing. The power relationship is between square of rotational frequency...

Smoker Non-smoker Disease A B No disease C D Show the mathematical relationship between Relative Risk and Difference in Conditional Proportions. (Work the formulas algebraically so RR is on one side of the equation and the difference (plus some other...

Homework Statement A 0.60 m long circular tungsten wire with a radius of 0.05 m is connected to a DC power source resulting in a current of 0.65 A in the wire. Calculate the magnitude of the electric to magnetic field ratio at the surface of the wire. The resistivity of tungsten is 5.6 · 10-8...

Homework Statement Suppose sound wave is emitted uniformly in all directions by a speaker. At a distance of 1.1m, the amplitude of it sound is 1.2x10^-8m What is the amplitude of sound at a distance of 1.7m?The Attempt at a Solution What I'm confused is why does the amplitude of sound change...

I was looking at the mass-energy relationship equation, which by taking the derivative I would think that you you should get a power-energy relationship. What I get is: P = \frac{mc^2}{2\sqrt{1-\frac{v^2}{c^2}}}*2a If this were to be true, a particle without acceleration would have no...

When I read the lecture notes about the ideal transformer, I have some problems about the proof of current relationship i1/i2=N2/N1=1/a.The proof is shown below. Current Relationships of ideal transformer: To get the current relationships use ampere's law mmf= ∫H•ds= N1i1+N2i2’ H x length =...

Hi, I'm no expert and I'm still in high school, but I'm curious about the relationship between physics and chemistry. As far as I know Chemistry is based on atomistic theory, right? Well, I'm wondering does physics support atomistic theory entirely or there are some parts of this theory that are...

Hello I am preparing for my aerodynamics exam and I'm having trouble with this question. Why is the Reynolds number of the airflow over a wing important in determining the value of lift and dragThe Reynolds number is important for determining laminar and turbulent flows over a body. It is a...

OK i am doing a plan design lab about magnetics so the aim is to investigate how to force between two mangnetics vary with their distances aparts My hypothesis : As the distance between magnetics increases force decrease Can anyone give me points on what to discuss. The discussion part is...

Hello, I am considering the hyperbola x^2-y^2=1 and its intersection with the line y=mx. The positive x-coordinate of the intersection is given by: x=\sqrt{\frac{1}{1-\tan^2\alpha}}=\sqrt{\frac{\cos^2 \alpha}{\cos(2\alpha)}}=\cos\alpha \sqrt{\sec(2\alpha)} where we used the identity...

I am under the impression that the Earth orbiting the sun is really a matter of perspective and we can actually take a perspective in which the Earth is stationary and the sun and everything else move in relation to it. And we can take any perspective we want but we just have to use fictional...

Homework Statement What is the relationship between vmax and λmax and why isn't it just vmaxλmax = c Homework Equations vλ = c vmax = 5.88 x 1010T s-1 K-1 λmax = 0.290T-1 cm K The Attempt at a Solution I worked out that Bλ = -dv/dλ Bv where -dv/dλ = c/λ2 So I...

So I've designed a car which is powered by a falling mass. Using Energy Questions, i.e. mgh = 0.5*I*w2 I've worked out the angular velocity of the wheel; so my question is whether this represents this velocity of the whole car or do I need to multiply this value by 4?

1. Homework Statement the Pth, Qth & Rth terms of an arithmetic sequence are in geometric progression. Show that the common ratio is (q-r)/(p-q) or (p-q)/(q-r). 2. Homework Equations for an A.P, the Nth term= a (n-1)d for a G.P, the Nth term= ar^(n-1) 3. The Attempt at...

I am having a hard time relating work, potential energy and kinetic energy with my knowledge of calculus. I have a feeling that it somehow relates to gradients, is that correct? If so; how would you relate gradients to those concepts? And why is it that now derivatives are being taken with...

Homework Statement 1. You create a plot and the linear trend is y = 3.75 x + 0.135. The plot is titled "Work [Joule] versus Position [meter]". Write the "physics" translation for this plot's trendline. Homework Equations y = 3.75 x + 0.135. Find physics equation. The Attempt...

Hey guys, First off, I apologize if this is in the wrong section. I am currently an intern taking 6 months off from my senior year pursuing a mechanical engineering degree. Having not taken a heat transfer class yet, I am stumped as to how to go about tackling my latest project. Basically...

Homework Statement a) Find the speed of the boat with respect to the Earth. (km/h) b) Find the speed of the boat with respect to the river if the boat's heading in the water is 60° south east (km/h) Homework Equations v(x) = v cos(θ) v(y) = v sin(θ) v = √(vx^2+vy^2) but can't use it in...

Hello, I am wondering if anyone knows any correlations or equations that can give me the temperature of a wire due to power losses. I understand how to calculate the power loss in the wire, based on wire resistance and current (P=I^2*R) but how do I turn this into a heat transfer problem and...

Relevant equation: PV = nRT Attempt: P1/P2 * V1 / V2 = T1/T2 V1/V2 = 4.2E12 / (1E12 - (6371.5 + h^3)

Homework Statement This is actually a part of my physics lab assignment, but there isn't any physics involved here, so I chose to post this here. I hope that isn't a problem. Anyway, I've been given three data tables, and have been asked to make graphs for each of the data tables by hand...

Hello, this was another question on the exam which I wasn't sure about: Let f and g be entire such that |f(z)| \leq |g(z)| \ \forall z \in \mathbb{C}. Find a relationship between f and g. I'm kinda lost on this one... Thanks!

Homework Statement Hello! I have a problem where I need to develop and justify a hypothesis surrounding the relationship between the thickness (or diameter) of a nichrome wire and the temperature of water that it's submersed in over a time of 5 minutes. (proportionality statement and...

Weight, normal force, applied force, and friction force. a. A homeowner is applying southwest force on a lawn mower, friction force is going to the East, normal force is North, weight is South. This was a multiple choice question and the answer was Applied force > Friction force and...

Obama Misspeaks on Egypt Relationship... Or does he...? http://security.blogs.cnn.com/2012/09/13/what-to-call-egypts-relationship-with-the-u-s/?hpt=hp_t2 But... A cynical person might say Obama was lying, since official US policy is his and he directly contradicted it. Considering the...

Homework Statement Show that: A \cap B \subset (A \cap C) \cup (B \cap C') Homework Equations The Attempt at a Solution I tryed distribute (A \cap C) over (B \cap C') but I'm always walking in circles and i don't came to a satisfactory answer. This exercise was in a section...

Is the relation v_{\varphi }v_{g}=v^{2}=\frac{1}{\mu \varepsilon } always true in a plasma ? Where v_{\varphi }, v_{g} are respectively the phase and group velocity of the electromagnetic wave that is propagating in the plasma.

I'm just experimenting with graphs of derivatives and have noticed something that our teacher has never adverted to but strikes me as very interesting: the third derivative when set to zero will give the inflection points of the first, which makes me reflect that the relationship which...

Like 85% of people who applied to the University of Washington's Computer Science program, I was rejected and am now going into my Junior year without a major. Last quarter, I took the first introductory EE class and found it pretty enjoyable. As much as I like the idea of going with EE as a...

Homework Statement http://img15.imageshack.us/img15/1671/capturetwy.png The Attempt at a Solution Could someone please explain what is meant by "if v is constrained to 0"? Also how do you find a relationship between two axis of different coordinate systems? I really have no clue where...

Relationship between "Bohmian trajectories" and "Feynman paths"? Can someone summarize what (if any) relationship there is between these two? I've read that Bohmian trajectories are very different than Feynman paths but I've also come across papers suggesting that "Feynman method of summing...