Relationship Definition and 999 Threads

Homework Statement I am in the process of studying integration and finding the areas under curves. So far, I know of two methods of finding the area under a curve: the limit method and the direct integral method. Could someone explain the relationship between these two methods? Homework...

"Barrel of Fun" Carnival Ride, and the relationship between Friction and ω Homework Statement A ”Barrel of Fun” consists of a large vertical cylinder that spins about its axis fast enough so that any person inside will be held against the wall. Assume: At an angular speed ω1, an upward...

Hi, I'm taking a thermodynamics class and I'm stuck on how work relates to enthalpy and internal energy. Does work done by a system equal change in internal energy, change in enthalpy or does it depend on the situation? The question I'm stuck on asks for the work produced by a steam turbine...

is there a gas which its volume increases nonlinearly with decrease in pressure?

If we're working in R^n and we consider the elements of a basis for R^n to be the column vectors of an nxn invertible matrix B, then what is the relationship between B and the matrix whose row vectors represent elements of the corresponding dual basis for R^n*? My guess, which Wikipedia helped...

Im trying to expand the range of my wifi network, and I am not sure exactly what to expect from a +27 dbi antenna. As I understand it, this will cause the power density to increase by a factor of 2^9. Does that mean the range will increase by a factor of 2^9? or would it be more like...

Homework Statement So I have this lab I have to do about finding the relationship between static friction and normal force. So basically I need to find find how the Static Friction and Normal Force relate by doing a lab experiment. The materials I have are: Spring balance / scale Weights...

Homework Statement I want to find a relationship between the number of moles of O2 used and the number of CH2 units in an alkane in a complete combustion reaction. Homework Equations The Attempt at a Solution Right now I have come up with a math equation, given X units of CH2...

I'm having a hard time grasping the logical flow from orbital angular momentum to spherical harmonics. It feels like it's just sort of been sprung out of nowhere from both my lecture notes and the textbook. Can anyone help fill in the gaps that clearly must link them somehow? How did I get from...

Please have a look at the attached image. The two blue plates (rigid) are bolted to a red plate. Now an object with 10000 J of Kinetic energy hits the red plate and the red plate is deformed by 4 mm in the direction of energy. Due to this collision, the bolts encounter a shear stress. Can...

Homework Statement The relationship between arctanh and log is: arctanh(x)=\frac{1}{2}log(\frac{1+x}{1-x}) but if i take x=1.5, I have: arctanh(1.5)=0.8047 + 1.5708i and \frac{1}{2}log(\frac{1+1.5}{1-1.5})=0.8047 + 1.5708i as expected, but using the laws of logarithm, why does this...

hi experts as far I know the stokes theorem relates surface integral to line integral - but i am confuse how surface integral if represent area gets equal to length as represented by line integral.

Hi All, So I'm at the point where my brain is numb. I've been struggling for the past few hours trying to understand causality. Specifically, I have an input-output relationship y(t) = x(|t|). Determining if this is causal has been very difficult. Causal means that the output at any given...

I understand the inverse square relationship between sound intensity (I) and distance (r). There was a misunderstanding in physics class today about the mathematical and theoretical relationship between sound intensity and power according to the equation: I = P/4∏r2 Sound intensity is...

In my physics class we did a lab where we attached one end of a string to a .5 kg cart and the other end to a force meter which was all on a ramp. As we increased the angle of the ramp, the tension increased proportionally until the angle reached 45 degrees. From 45 degrees to 90 degrees, as we...

Relationship between Electric Fields and Distance from point charge?? Homework Statement Homework Equations E= kq/r^2 The Attempt at a Solution K so looking at the graph, I noticed that there is a inverse-square relationship between the electric field and the radius/distance...

What is the relationship (a mathematical one) between the density and the refractive index of a medium?

I emailed a prof about sitting in on his graduate-level gravitational theory class next semester. He said he would like his students to have understanding of electromagnetism, special relativity and quantum mechanics at the advanced undergraduate level. This is the course description...

I am curious to know using scientific information what color lightsaber is the strongest? I have done some minor research and cannot figure it out on my own. I have come up with that violet produces the highest frequency while red produces the lowest frequency. Using Planck's Law E=hv I gather...

I know that when viewing a graph in which velocity is on the y-axis and time is on the axis, the acceleration is the slope of the line. When viewing a graph in which a force is on the y-axis and a time is on the x-axis, (particularly one in which the graphed line makes a triangle) the area is...

Math name for "asymetric-pair" relationship? Say I have a function (F) that takes an input (P) and returns an output (E). Suppose F isn't invertible so, knowing F and E, one could not reconstruct P. Suppose also that there is another function (R) that can take E as input and returns P...

Homework Statement I have this assignment from my chemistry teacher and it asks to relate electroplating with the kinetic theory? I don't really understand how the kinetic theory has anything to do with redox, or other chemistry applications. Homework Equations The Attempt at a...

In high school, doing modern physics, and was struck by a thought about light, energy of a photon and the "speed limit" of relativity. I'm probably very wrong, but I would like to be shown why :) My understanding of energy and matter relations is that when you increase the energy levels...

I'm not sure if I did these 2 questions correctly, so would someone please check my work for any missing ideas or errors? Question 1: Homework Statement Prove: For every x belongs to X, TR∩S(x) = TR(x) ∩ TS(x) Homework Equations The Attempt at a Solution TR(x) = {x belongs to X such that...

"If there's no normal force, there's no contact." Is the statement above correct? What is the relationship between contact and the existence of normal force? Are they necessary and sufficient conditions to each other? Thanks for your help :p

Imagine a ramp setup on top of a tall table. The height Δy is measured. To find the initial velocity at the instant the ball leaves the ramp, I set up the kinetic energy and potential energy equal to each other to find the initial velocity of the x component. PE = KE m*g*(hr) = 0.5*m*v^2 where...

How can one derive the relationship for a cubic crystal: d= \frac{a}{\sqrt{h^2 + k^2 + l^2}} It is shown here. This is probably trivial but I am having trouble proving it as the Miller indices are reciprocals but the reciprocal is not distributive. This isn't for homework by the way - I...

Homework Statement In the experiment, a mass was attached to the string. Increasing mass was added, and the fundamental frequency for each mass was determined. I am trying to create a graph from the data, but I am finding that I am getting a linear graph between f1 (fundamental frequency) and m...

Hello, having had an interest in physics for a while I recently enrolled on an access to higher education course to study it. Unfortunately I seem to have fallen at the first hurdle. First off I'd like to apologise profoundly and profusely for the simple problem you are about to read, but I have...

How fast do i need to pump water in a 10" aluminum pipe to prevent freezing? Assume 32*F inlet temp and 0*F ambient . For my conditions, the temps will vary and T ambient easily gets down to -20*F or more.

Homework Statement Impulse is defined as: force x time a) Find its unit expressed in term of the base units. b) What quantity has the same unit? What could it mean? (Impulse = change in momentum) Homework Equations I = F x T P = mv The Attempt at a Solution a) First, we...

I am writing a report for my civil engineering subject. and i have few questions. is there any relationship between angle of repose and total soil suction. is there any relationship between angle of repose and particle size distribution. is there any relationship between angle of repose and...

Hi ! I need your help ! I have been kind of stuck with the following problem for a few days : I made measurements on a plate radiating sound with an accelerometer and I found very low values of displacement(1-10 pm !). It seems very very very low (less than 1 atom !) Depending on the...

Homework Statement E = [axhat(A(x+y)) = ayhat(B(x-y))]cos(wt) Determine the relationship between A and B Homework Equations I don't know if there are any.The Attempt at a Solution I've expanded the problem and reduced it to E = cos(wt)[x(A+B)axhat + y(A-B)ayhat] I was going to take the real...

Homework Statement (Picture attached) How does the process of sea-floor spreading produce these orientations and relationships [between the ages of magnetic stripes and the distance from the ridge crests, as well as the parallel direction of the magnetic stripes with those of the ridge...

Let t \in \mathbb{R} be large. Let f be a function over [0,t] satisfying f(0) = 1 and f'(x) = e^{-f(x)} for all x. Let g be a function over [0,t] satisfying g(0) = 1 and g'(x) = (1 - g(x)/t^2)^{t^2} for all x. Note that g'(x) \sim e^{-g(x)}. Without solving the two...

Homework Statement Is momentum and kinetic energy related?Since when an object is falling,it gains k.e and also gains momentum? Homework Equations The Attempt at a Solution

I've been spending far too much time on this problem and I know I'm over thinking it. Here it is: If |A+B| = |A-B| What is the most general relationship between the two vectors? -Now I know this is just saying they have equal magnitude regardless of direction, but I'm not quite sure what...

Is there any relationship between the pH of seawater and any properties of the sand at the beach? If so, what/ why/ how? Context: I am writing a report for my Soil Mechanics course, for which we analysed some sand we collected at the beach, as well as some seawater. One of the key properties...

Hi everyone, This is not a homework question. I just want to understand an aspect of linear regression better. The book "Applied Linear Models" by Kutchner et al, states that a linear regression model is of the form Y_i = B_0 + B_1 X_i + \epsilon_i where Y_i is the value of the...

P = VI . Now say I want to transfer power over long distance, i put it through the the transformer increase the voltage to decrease loss over the line, this is where I am confused. So when u increase the voltage through the transformer, you decrease the current. Voltage is the potential...

I mean how can i analysis the thermal conductivity of two structures with their phonon spectrum. thank you!

Hi, I have scoured through scores of websites but haven't found a reasonable solution. The thought problem goes like this. Take any NdFeB magnet which is saturated say to B_r =1.3 T. Is there a magnetization (M) value that corresponds to the this remanence. I have been able to find a few...

Hello, it is possible to prove that the Mellin transform of a function f(x) can be expressed in terms of Fourier transform, namely: \mathcal{M}\{f(x)\}(s) = \mathcal{F}\{f(e^{-x}\}(-is) I am not convinced of that imaginary unit i as argument of the Fourier transform. In fact, since the...

If I set up an experiment as shwon in the schematic attached, where the effective length of the tubing is 25m (this then goes to a short length of smaller area tubing), and the pressure applied is contant, what kind of relationship should I expect between pressure drop and flow rate? I...

I am trying to teach myself some chemical thermodynamics, in particular some methods for fluid property evaluation. I am reading an excellent book which has helped a lot ("Introduction to Chemical Engineering Thermodynamics", Smith-Van Ness-Abbott, Ed. 7, ISBN: 007-124708-4). One thing that...

Consider the following system - A coil is wrapped around a soft iron core as shown below. A permanent magnet is placed at one end of the coil. [FONT="Courier New"] +--+-----+--+ | | | | Coil +ve Side --> | | | |...

Homework Statement This is, strictly speaking, not a homework question. I have already solved this, but I think that there is a much better method to solve it. In the equation below, what relationship must w and q satisfy? If the question is not clear, please read the bottom of the post...

Homework Statement I did an experiment with a convex lens, object, and image. As the lens moved farther and farther away from the object, the image decreased its distance (to remain in focus) from the object as well up to a certain point. After that point, as the lens increased its distance...

So, my intuition tells me that as a material heats up, the atoms start jiggling around more and more. That makes the atoms got all over the place, effectively causing more space between the atoms. Since there is more "free" space between the atoms that the electrons can travel through, the...