Constants Definition and 486 Threads

Homework Statement The effect of temperature on the rate of a reaction was studied and the following data obtained: k (s-1) T (°C) 3.06×10-4 10 4.84×10-4 16 6.50×10-4 20 1.40×10-3 31 2.87×10-3 42 4.16×10-3 48 5.94×10-3 54 7.92×10-3 59 It is known that...

Homework Statement Solve each of the following inequalities; give your answers in interval notation. i) ax + b < c, where a, b, c are negative constants Homework Equations The Attempt at a Solution ax < c - b x > c - b / a because I'm dividing by a negative constant...

Homework Statement A spring with spring constant 8 N m-1 is cut into 2 equal parts. Find the spring constant of each part? Homework Equations The Attempt at a Solution Spring constant of each part = 16 N m-1 Above is the answer given. 1. Why should we times 2? 2. If the...

Homework Statement Claim: For the partial differential equation ∂u/∂x + ∂u/∂y = 0, the general solution is u(x,y) = f(x-y) Homework Equations N/A The Attempt at a Solution I remember that the number of arbitrary constants in the general solution should be the same as the order of the...

I am wondering if anyone knows of research being done, or theories that are related to the actual structure of space-time as they are related to physical constants such as the speed of light, Planck's constant, and the cosmological constant. I'm far from being a expert, but I've been playing...

I heard a http://www.youtube.com/watch?v=YtdE662eY_M"by Brian Greene where he states that there are over 20 constants needed for the universe to exist, Which are those constants?

Homework Statement can spring constants ever be negative??

Does "+ C" melt together ALL constants? I had this integral \int \frac{dy}{-2y + 6}. I realize you can let u = -2y + 6 so that du = -2dy, and adjusting: -0.5 du = dy. The integral becomes -0.5 \int \frac{du}{u} = -0.5 \ln{|-2y + 6|} + C However, there is another way. Factor out the...

Homework Statement A 7.50-kg ball is placed on top of a spring with a spring constant of 475 N/m that has an initial length of 35.0 cm (h1). When the ball has reached its equilibrium position, it is supported by both springs at a height of 20.0 cm above the table (h3). If the shorter spring...

background: I have a HNMR spectra and I am trying to figure out what is coupled to what. There is a set of 4 doublets where it is know that there 2 sets of coupled doublets. the doublets have j-values of 8.8 @ 8.04ppm, 8.8@ 7.58ppm, 8.4@7.39ppm and 8.4@7.00ppm. While I may have assumed that...

1. Calculate the gravitational field constants for the following: Mars (r=3.43 x 10^6m , m= 6.37 x 10^23 kg) Jupiter (r= 7.18 x 10^7 , m = 1.90 x 10^27kg) Mercury (r=2.57 x 10^6m , m= 3.28 x 10^23 kg) 2. F = mg Fg = Gm1m2 r^2 3. So i tried subbing these given masses into the second...

First, how do you put in spaces without them being deleted when i post? How does one show that the structure constants, c^{k}_{ij} of a group are antisymmetric? The context is from page 12 of Anderson's "Principles of Relativity Physics", with the statement right at the bottom: Thanks for...

Homework Statement The Attempt at a Solution For a) I just solved simultaneous equations, a link to a resource that solves a system more efficiently would be nice but augmented matrices are taught in the syllabus, or atleast not in the official text. Although I've seen solutions in...

First of all, I understand what a constant is, what a variable is, and somewhat what a Parameter is. For parameters, as much as I know they are variables but of a specific type, for exmaple:- a^2= B, where B is the area of the square..now "a" is a variable, but its also a parameter, since...

Homework Statement past paper qu... λa + µb + vc = 0 for some λ, µ, v not all zero show c.(axb)=0 consider cases v not equal to 0 and v = 0 The Attempt at a Solution not sure how to start so if someone could just point me in the right direction or offer another hint it may help me get...

Has the permeability and permittivity of vacuum ever been measured in a vacuum or space?

How does the relative position(series or parallel) of a resistor affect the calculation of the RC and LC time constants. In other words is a RC time constant still R\timesC requardless of whether or not R and C are parallel or if R and C are in series. Same question with LC time constants, is...

We are told that the force field F=(\muz + y -x)i + (x-\lambdaz)j + (z+(\lambda-2)y - \mux)k Having already calculated in the previous parts of the question 1:the line integral (F.dx) along the straight line from (0,0,0) to (1,1,1) 2:the line integral (F.dx) along the path x(t)=(t,t,t^2)...

I have done a series of tests on the dielectric constant of polymeric materials using Impedance measurements in a four electrode configuration. When varying the thickness of my polymeric materials, the dielectric constant remains relatively "constant". When the thickness of the material is...

While integrating a rational function I stumbled upon the following problem (In the calculation of the integral the substitution u=x+1, du=d(x+1)=dx was used). \begin{align} \int \frac{x^2}{(1+x)^2}\,dx &= \int \frac{(u-1)^2}{u^2}\,du \\ &= \int du+\int \frac{du}{u^2}\ -2 \int...

Where i can find complete data for material elastic constants?? I need elastic constants, piezoelectric coefficients & permittivity for different semiconductor alloy? Someone could kindly help...

Homework Statement Suppose f(x)=ax^3+bx^2+cx+d has stationary points at (1,3) and (3,-3). Find the constants, a, b, c, d and sketch the graph of f(x). Homework Equations The Attempt at a Solution No idea where to start with this one. I know I have to eliminate 3 of the variables...

Lets say you have something like CaSO4 (s) <-----> Ca (aq) + SO4(aq) The equilibrium constant would then have no denominator. That makes no sense to me! K would equal [ Ca ][ SO4 ]. Wouldn't that then represent a constant amount of moles no matter how much CaSO4 is present...

I have two springs arranged in series (remember circuit diagrams from physics class!). One has a low stiffness constant (K1 = 5) and the other connected to it has a much higher contant (K2 = 100). According to the equation (as used in wikipedia)...

Hi, I am currently attempting to implement the Gillespie algorithm for an artificial gene network. I have been given a set reactions and their accompanying equilibrium constants. However, to execute the algorithm I must know the rate constant of the reaction (units of 1/s). I know that the...

Are there any books, written for the layman, which talk about observable effects that might be caused by our 5 (4 + time) dimensional portion of the universe moving through the larger universe. "Universe in a Nutshell" -Hawking, talks about how gravity may transend branes. Are there others?

Homework Statement This is an example from a book. I am having trouble in substituting the numbers to get the given result. Homework Equations The bar notation is to indicate the operating point. The subscript A is for the reactant A (which reacts and becomes product B in a A->B...

Homework Statement Let A be the area of the region in the first quadrant under the graph of y = cos (x) and above the line y = k for 0 <= k <= 1. a.) Determine A in terms of k. b) Determine the value of A when k = 1/2. c) If the line y = k is moving upward at the rate of ( 1 / pi )...

Homework Statement A toy car with mass 0.02 kg is propelled by a spring with a spring constant 80 N/m onto a track. The track. The track contains a loop of radius 0.10m. Ignore any losses dueto friction and use g=10m/s. What is the minimum compression of the spring necessary for the car...

I have an equation I am solving with Mathematica: In: DSolve[y''[t] + Subscript[\[Omega], c]^2 y[ t] == -Subscript[\[Omega], c]^2 Subscript[v, d]*t + Subscript[\[Omega], c]*Subscript[v, 0], y[t], t] Out: {{y[t] -> C[2] Cos[t Subscript[\[Omega], c]] + C[1]...

What are the normalizations constants of psi(x) in a finite potential box? is there an algebraic or analytical solution. I have the solution to the infinite box but it seems the two cases are not comparable. As in the finite box the particle does not need to be in the box?

I have five generators of a lie algebra, g_1,g_2,g_3,g_4,g_5 which at first glance I believe are independent, although I could be wrong. I have calculated the structure constants, i.e. \left[g_i,g_j\right]=f_{ij}^k g_k And from that I have calculated a matrix rep using...

from where do chlorine monoxides form? I'm asking this because I'm just wondering if there is a way to direct all the oxygen radicals on its way to react with ozone to a whole bunch of chlorine monoxides to form oxygen gas. Is that possible or what? I'm a guy who likes to teach.

Homework Statement The exam grades in a certain class have a Gaussian PDF with mean m and standard deviation \sigma. Find the constants a and b so that the random variable y=aX+b has a Gaussian PDF with mead m' and standard deviation \sigma'. Homework Equations The Attempt at a...

A scientist wishes to find the age of a sample of rock. Realising that it contains radioactive potassium, which decays to give a stable form of argon, the scientist started by making the following measurments: decay rate of the potassium in the sample = 0.16Bq mass of potassium in the sample...

technically it is not homework, more like struggling with textbook material, but something tells me it would end up here anyway so here it is : there's something about the method that gives me different results using different paths so I'm going to show both of them and see if you can spot the...

Two identical massless springs of constant k = 200 N/m are fixed at opposite ends of a level track, as shown in Figure P5.62. A 5.90 kg block is pressed against the left spring, compressing it by 0.150 m. The block (initially at rest) is then released, as shown in Figure P5.62a. The entire track...

Just a quick question: the transition between pre-big bang to post big bang (if it occured) required a change in physical constants (our universe is ever-expanding while the preBB universe was not). How can these constants change themsevels into new constants like that? This would seem to...

Hi there, Does anybody know how to exploit the product of structure constants of SU(N) through Kroenecker deltas? I mean \sum_a f_{abc}f_{ade} I know this for SU(2) as in this case I have the Levi-Civita symbol but in other cases I was not able to recover it in literature. Any...

Homework Statement i'm trying to find two constants in the same equation. its an initial value problem there's a two parameter family x=c1cost+c2sint with initial conditions x''+x=0, x(pi/6)=1/2, and x'(pi/6)=0 so I'm trying to find c1, and i equate the problem to 1/2 and subsitute...

Does anyone have information on temperature dependence of dielectric constants? I haven't been able to find anything general enough on Google. I'm particularly interested in Polyethylene, Teflon, and Air but a general description would also be appreciated.

A rocket is fired at an angle from the top of a tower of height 50.0m. Because of the designs of its engines, its position coordinates are of the form x(t)=A+Bt^2 and y(t)=C+Dt^3, where A, B, C, and D are constants. The acceleration of the rocket after 1.00s after firing is a=...

Homework Statement I have been puzzling over this question for hours now. The centre of a wall clock is 180 cm above the floor. The hand of the clock that indicates the seconds is 20 cm long. The height, h cm above the floor, of the tip of the second hand, t seconds after midday, is...

SU(2) and SO(3) "have the same Lie algebra". While I understand that their corresponding lie algebras su(3) and so(2) have the same commutator relations \mbox{SO(3)}: \left[ \tau^i, \tau^j\right] = \iota \varepsilon_{ijk} \tau^k \mbox{SU(2)}: \left[ \frac{\sigma^i}{2}...

Hello, When the fine structure constant (a) is calculated from the electric and magnetic constants. What does each part represent. (1/c) * (1/electric_constant) * (e^2/(2*h)) = a i.e. What does (1/electric_constant) represent? The opposite of vacuum permittivity?And with the...

Homework Statement A 70 kg bungee jumper leaps off a bridge. She is tied to a 12 m long bungee cord and falls a total of 31 m. Calculate: a) the spring constant of the bungee b) the maximum acceleration experience by the jumper Homework Equations F = kx Eg = Ee where g is...

I recently read a thread that pointed to some constants that caught my attention. Before I go off the deep end with a question it would seem to be a good idea to understand exactly how constant are certain constants. I'm specifically curious as to the constants of: Length of a day (sidereal...

Hey folks, I am trying to generate the Pauli matrices and am using the following formula taken from http://en.wikipedia.org/wiki/SU(3 ) "In the adjoint representation the generators are represented by (n^2-1)×(n^2-1) matrices whose elements are defined by the structure constants"...

Homework Statement Find constants c1 and c2 such that F(x) = c1xsinx+c2cosx is an antiderivative of f(x) = 4xcos(x)+3sin(x) Homework Equations d/dx cosx = -sinx d/dx sinx = cosx The Attempt at a Solution Don't know how to setup or handle a problem such as this. Prolly much simplier...

Hi, can someone help me on the following question. Equilibrium constant=0 Equilibrium constant=1 What are the significance of these 2 values? As in, what is happening to the reactants as well as the products in this 2 instances? Thank you!