Formula Definition and 1000 Threads

In my formula sheet I have written down that deltaPEg = (PEg final - PEg initial) but then I have written down that -(deltaPEg) = (PEg final - PEg initial) which one is right? Oh and another question, when do I use the formula deltaK + deltaPE = 0?

How would one prove quantum gravity, would there be some thing observable or would it just be a mathematical formula.

Why do we multiply permittivity of vacuum with relative permittivity? What does this calculation mean?

why is the formula of energy in a capacitor E= C x U^2 /2 I understand it mathematically, but I do not understand it if you apply it to a real situation. Is there anyone who can explain that?

If x values are: 10, 20, 30, 40, 50 corresponding y values are:20, 65, 180, 390, 505 then what is y value at x=25. I was having an argument with maths sir. I was saying to take x0 as 10 to get the answer as 107.14, which is correct application of formula, but our maths sir said that we should...

Homework Statement At 9 P.M. an oil tanker traveling west in the ocean at 18 kilometers per hour passes the same spot as a luxury liner that arrived at the same spot at 8 P.M. while traveling north at 23 kilometers per hour. If the "spot" is represented by the origin, find the location of the...

A question like : A very thin layer of oil is on the surface of a puddle of water. If the layer of oil is 400 nm thick, what frequency of light in the visible part of the spectrum will most strongly be reflected? Given the index of refraction of oil is 1.4. Can we think of the layer as a single...

Homework Statement how to divide moment of inertia of solid sphere about its central axis?. Solid sphere has radius R, mass M. Homework Equations I=∫r2dm 2/5 MR^2 The Attempt at a Solution https://photos.google.com/search/_tra_/photo/AF1QipPoXyad0q1Y3yisc0LeeJHGApkIrGbitK6kAk5p i try to...

Write a differential formula that estimates the change in the volume $V=\frac{4}{3}\pi{r}^{3}$ of a sphere when the radius changes from $r_0$ to $r_0+dr$ $$dV=4\pi{r}_{0}^{2}dr$$ this was one of the selections but I didn't know how to account for the $r_0$ to $r_0+dr$

I am looking for a program ( off-line) that makes me write math formula and equation in a standard LaTeX form. I am not familar with LaTeX but I can learn the codes fast. I also need the created formula to be transformed into Ms-Office as I am not happy with MS-math editor.

using Newtons equation for gravitational force one can fling that the acceleration due to gravity, g' above the surface of Earth as g' = g (d/(d+h)) but I find that there is a different equation for the same as g' = g ( 1- 2h/r ) I know the first formula is right but I can't doubt the...

Pws=1000⋅e[[52.58]-[6790.5/T]-[5.028lnT]] T= temprerature in Kelvin Pws= Saturation vapour pressure I plugged in my temperature to the formula in Kelvin, I couldn't arrive at the correct answer. How do you get the e value of the equation (superscript above). My problem could be the trigonometry...

Need formula to calc. lateral and/or eccentric loads on trailer hitch ball when moving down the road hauling a trailer with gross trailer weight (GTW) of 10000 lbs, Tongue weight (TW) of 1200 lbs.

I have figured out a formula that generates prime numbers along with the proof that all such generated numbers are primes. The way it works is that you have to input consecutive prime numbers staring from 2 and ending at some Pn. And no it's not primorial minus or plus 1. Is this of any value...

Hi this is my first post ever in MHB, and I'm in Calculus 1 wondering which formula to use to find derivatives. There are 2 as far as I know: (1) and the one one at the beginning of this: (2) Example Problem: How would i know which formula to use? Is there a particular reason the...

Homework Statement [/B] Don't know if this goes here or in the advanced bit, thought I'd try here first! I know the general solution of a 1D wave equation is given by d'Alembert's formula ##u(x,t) = 0.5[u(x+vt,0) + u(x-vt,0)] + \frac{1}{2v} \int_{x-vt}^{x+vt} \frac{\partial u}{\partial...

I have a long-standing puzzle about the Kubo formula of thermopower S=L_{21}/L_{11}. The electric conductivity (L_{11}) can be expressed in terms of real time current-current correlations. Similarly, the heat conductivity can be expressed in terms of real time correlations of heat currents...

Hello, I found a Math formula, not long time ago, I went to a journal centre, there I was told that I need to check if my formula is new, or was already discovered, they said that it's not their job to check that. So, what I'm supposes to do? Also, is there a website/map that can show all my...

Homework Statement I need to proof that Rodrigues’ formula satisfies Laguerre differential equation Homework Equations Rodrigues’ formula of Laguerre Laguerre differential equation The Attempt at a Solution first,I have to calculate = I tried to sum both terms and this is what I got...

So I'm trying to figure out how to calculate the force behind the pressures achieved in this press. I know the pressures achieved with specific amounts of water(weight) for the pivot point being at either pin a or b but I'd like to know how to calculate this myself. I've tried looking up...

For spherical geometry, how can we solve volumetric heat production formula ? q=(Σ*Φ*A*C)/V for example if triso fraction rate is five percent of total fuel rod volume, how can we calculate volume (V) in the formula?

Could anybody explain me why indeed we can express the first-order correction to the n-th wave function \psi_{n}^{1} by linear combination \sum_{m} c_{m}^{(n)}\psi_{m}^{o}

Homework Statement Show that $$ \int_{-1}^{1}{x}^{n}P_n(x) \,dx= \frac{2^{n+1}n!n!}{(2n+1)}! $$ (Side question: this is the orthogonality integral= 0 when the functions inside the integrand are orthogonal; but I have seen hints that sometimes the Integral is NOT=0 even though the functions...

Points on the same line have two different coordinate systems: P and Q. The corresponding coordinates are denoted by small letters p and q. The two systems are related by a conversion formula q=sp+t. The point with P-coordinate -52 has Q-coordinate 634. The point with P-coordinate -4 has...

This looked straight forward, but I've gone wrong somewhere ... Using Rodriquez' formula, find: $ \int_{-1}^{1}{x}^{n}P_n(x) \,dx $ Rodriquez: $ P_n(x)=\frac{1}{2n}\frac{1}{n!}\d{^{n}{({x}^{2}-1)^n}}{{x}^{n}} $ So find $ \int_{-1}^{1}{x}^{n}...

Is there some mathematical derivation for calculating the orbital velocity based on altitude and acceleration without using calculus? I thought of equations of motion, but I always get problems. Is there a way to derive it using laws of gravitational potential and kinetic energy ? Are the...

1. Complete structural formula, identify the absolute configuration of each asymmetric center (if it applies) Bond rotation may be necessary2. Is the first one right? The second one which is Newman must be turned to boat and then I write it in the boat?The Attempt at a Solution : On the paper[/B]

So I'm doing research with a professor and he wants me to use the Bethe formula to calculate stopping power for alpha particles of various energies, but I'm having a lot of trouble using it, and I figured I'd ask here before I bothered him. He wanted me to use the non-relativistic version listed...

how do we derive rodrigue's formula

Hello, I am really struggling to write a math formula that I need for my website plugin. A=(Length) B=(Width) C=(Square Inch) A*B=C 0<=C<=16 then C*.84 17<=C<=34 then C*.70 35<=C<=65 then C*.56 66<=C<=99 then C*.42 100<=C<=150 then C*.35 151<=C<=500 then C*.31 I wrote this formula in excel...

Hi all, I've been a long time reader of this forum but haven't signed up for whatever reason. So thanks for the wealth of information and solutions to my headaches. I'm trying to figure out a coefficient of temperature equation and I'm having a hard time with the manipulation for some reason...

Hello! I have a science investigatory project issued by my school. For my (actually our) project, we decided we will make a some sort of concept alternator powered by water collected from rain. Our goal is pretty small, to power up a small 5-volt bulb. Assuming the rotor rotates 2-3 times a...

Homework Statement 50 students live in a dormitory. The parking lot has the capacity for 30 cars. If each student has a car with probability 12 (independently from other students), what is the probability that there won't be enough parking spaces for all the cars? Homework Equations P(A) =...

Hi all, Newbie here.. I am interested in making a magnetic leviation display like in this video: My question is what are the necessary setups? I know that I would need a strong magnet like neodymium magnet. But, i have no idea about the formula. Let's say i want to levitate a 1kg object, how...

To start let's use this trick to find a sequence of primes 11+13-7=17 This trick starts with prime 11 and the next in sequence 13. After you add them together to get 24 you subtract 7 which is the prime in sequence before 11, and you will get the answer 17. Now this will find every single prime...

Hello everybody, I'm new. It's a long time a have a big (probably stupid) doubt about the interaction between light and media, and now it's time to solve it. The doubt its essentially concerning the difference between an antenna and a photodetector: the first one is able to detect the amplitude...

Homework Statement Hello! Typical binary search tree has a number of nodes equal to 2^(n+1) - 1. I don't understand why we add 1 to the n? For example: a tree has a height 4. # # # # # # # # # # # # # # # each level has 2^i nodes; i = 0, 2^0...

I decided to integrate the formula ##g = \frac{GM}{r^{2}}##, and I ended up getting ##v_{g} = -\frac{GM}{r}##. What is the meaning of the latter formula, and is it useful in anyway?

What is the calculation that shows how much power is required to offset gravity? Gravity force is defined with units of kg.m.s-2. How to convert that to Joule.s-1? I am talking in the context of theoretical physics, not practical engineering like using a rocket or helicopter. But BTW could...

I have been doing research on entropy encoding for some time.. I found some interesting relationships between Arithmetic coding and other methods such as Huffman Coding. I made an article to explain them and am presenting here for review: http://siara.cc/arithmetic_coding_new_approach/ I have...

I am learning basic motor control and there is a formula list in my book. The last one is for torque calculation, can anyone point out to me where this one is from or how is it derived?

What formula can I use the time it takes an object to travel 402m if it starts at rest and accelerates at 17m/s?

I want a better visual model of what Newton's gravitational force formula represents: (G⋅m1⋅m2)/d2 But there are two contradictory things that I'm having trouble reconciling: Multiplying the two masses shows a relationship between the two point sources, but using the area of the sphere to...

Homework Statement P=Fv, I am confuse with which force to substitute into the equation. Is it the net force? or the driving force? (if it is a car) ..

Can you give me a link where I can find a simple explanation of the formula of the period of a pendulum? As far as I know, if the angle is 3°, the tension on the rope is g/ cos 3 and the horizontal T = 9,8 * tan 3 (0.0524) = 0.5 N. Is this the only force to consider? Can you tell me how to...

Homework Statement Good Day, On an oscilloscope, when two incoming signals are out of phase, in an XY setting, an ellipse appears on the oscilloscope screen. The phase shift between the two incoming signals can be found by the formula: sin^{-1}((Y_{max})/(Y_{int})) where Y max is the...

For Euler formula : e(iπ) + 1 =0 is it the same if we say e(-iπ)+1 = 0 or not ? (minus sign is included in the exponent)

Don't exist formula for the eigenvectors, all right!? Eigenvectors needs be found manually, correct!? But and about the Mohr's circle? This physical/mathematical theory don't define clearly the direction of the eigenvectors (called principal direction) with the eigenvalues (called principal...

Can anyone way in on the correct Formulas of a Solenoid Magnetic B-field at Ending, Middle and Outside? I have the following so far but some of them seem to contradict one another . Photo #1: Photo #2: Photo #3: Photo #4: Photo #5: Photo #6: