Addition Definition and 641 Threads

Homework Statement The emf of a battery A is balanced by a length of 75 cm on a potentiometer wire. The emf of a standard cell, 1.02V, is balanced by a length of 50 cm. What is the emf of A? Calculate the new balance length if A has an internal resistance of 2 Ω and a resistor of 8 Ω is joined...

Hello, here is a couple of example problems I'm not sure how to do, if someone could please explain how to do it I would greatly appreciate it! Subtraction: "A river flows at 0.8 m/s. If a boat moves across the water at 2m/s at what angle should it point so that it moves straight across the...

I have a couple of really basic and easy worksheets for vector addition and subtraction, but I'm getting confused because I used the formula Square root of (A^2 + B^2) to figure out most of them (change in velocity is displacement / time interval) and I don't see where I need to add or subtract...

Homework Statement Three vectors, A, B and C each have a magnitude of 50 units. Their directions relative to the positive direction of the x-axis are 20°, 160° and 270°, respectively. Calculate the magnitude and direction of each of the following vectors. a)[/B]→A+ →B+ →C b)→A− →B+ →C c)2 (...

Not sure if this will be of interest to others, but, as an exercise, I decided to derive formulas for SR velocity addition for any angular relationship, and similar aberration of angle for any object speed and direction and observer relative velocity - using pure algebra/geometry. That is, no...

What are the value additions of GR ? What does it give more than "SR + Newtonian Gravity" gave? Just want to see if someone has listed the same. I understand it gives a beautiful framework/idea for defining geometry of space time based on mass+energy sources and drafting law of motion of...

Homework Statement [/B] The block shown in Fig. P-223 is acted upon by its weight W = 200lb, a horizontal force Q = 600lb and the pressure P exerted by the inclined plane. The resultant R of these forces is up and parallel to the incline thereby sliding the block up it. Determine P and R. Hint...

Homework Statement FC of magnitude 188 N. Note that the direction of FC is not given. What is the magnitude of Betty's force FB if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium Homework Equations ΣF=0[/B]The Attempt at a Solution...

I have recently discovered some mathematical rules by trial and error. Some of these may be already known to people of mathematics. 1. This one is common: Sum of all integers 1+2+3+...=0.5(n^2 + n) 2. Sum of odd integers: 1+3+5+7+9...= n^2 3. Sum of even integers: 2+4+6+8...= n^2 + n eg...

why in dual cycle heat addition at constant volume process is first then after heat addition at constant pressure process is done?

Homework Statement To avoid restricted airspace, a pilot on a VFR cross country flight plans the following 3 legs immediately after takeoff. Leg A (280 heading 40nm distance) Leg B (240 heading 30nm distance) Leg C (200 heading 25nm) What one heading and distance from takeoff would...

Hey, I am strongly thinking of switching from mechanical engineering over to engineering physics. I am thinking of taking the first year again, and will therefore have about 5 courses I can choose freely. So the question is, what courses could be a nice addition to a engineering physics degree...

[Mentor's note: this post does not use the homework template because it was originally posted in a non-homework forum.] ----------------------------- A ship (attached to reference frame S') is passing us (standing in reference frame S) with velocity v= 0.933c. A proton is fired at speed...

Two cars approaching each other with speed 100km/h each. Relative to one of the cars the road moves with the speed of 100km/h (car pulls it toward itself), the other car moves on the moving road, vectors add - relative velocity 200 km/h just the way it should be. Relative to the road two cars...

Homework Statement I want to have a formula of this kind, (8+7+...+1) + (7+6+..+1) + (6+5+..+1) + ...1Homework EquationsThe Attempt at a Solution I know , n+(n-1)+...+1 = n(n+1)/2

Hi, is there any general formula to find out the final velocity w, happened by a boost in x direction forst and then to y direction? I could find the boost matrices for both and I know it's not purely another boost, rather a boost and a rotation, but I am really confused which formula to use...

Reaction of HCN with an aldehyde has higher yield than HCN with a ketone due to steric strain around the ketone. Then how about reaction yield of HCN with an aromatically conjugated aldehyde (like Ph-CHO) comparing with the previous two reactions? What I think: The yield be lower than just...

Is it possible guys to add it that way? Well what i did is that i add the current sources even tho they are not parallel because of the voltage source... But it can be considered a node the upper part if you use super node... The one that is encircle is done by my prof... saying I'm wrong... but...

First of all, apologies as I've asked this question before a while ago, but I never felt the issue got resolved on that thread. Is it valid to prove that \int_{a}^{c}f(x)dx=\int_{a}^{b}f(x)dx+\int_{b}^{c}f(x)dx using the fundamental theorem of calculus (FTC)?! That is, would it be valid to do...

Lets suppose we used Einstein Velocity Addition equation and we found a result this is the same for every observer isn't it ?

Imagine two space ships each with thrusters that can accelerate them .1c or .3c almost instantly. The velocity addition formula indicates that if one spaceship applied the .1c thruster 3 times then if c is estimated to be 300,000,000 m/s the velocity of the ship after the accelerations the ship...

Hi I am new member and I am new to the Signal processing so I hope I could get some help from the members to able to understand the concepts. I have a Signal. I have a 10Msaples/sec ADC. I view the Signal on an Oscilloscope which has 20Gsamples/sec sampling rate. The Point where I am...

Mod note: Originally posted in a technical math forum, so missing the homework template. How to find angle between two vectors when magnitude of both vectors and their resultant is given. for example The resultant of two vectors of magnitude 3n & 5n comes out 7N, the angle between vector is...

When magnitude of addition is equals to the magnitude of difference of two vectors then the angle between them will be 90 degrees... How and Why ? can anyone explain it ?? Any help will be appreciated.. Thanks

1. Problem: Consider the composed system of two particles of spin ##s=1## where their angular momenta is ##l=0##. What values can the total spin take if they identical? What changes when they are distinguishable? The Attempt at a Solution : The problem I have here is incorporating the fact...

Homework Statement Place 0.150kg (including the mass of the hanger) at a position somewhere between 0 degrees and 90 degrees. (I chose 45 degrees for this problem.) Place the second pulley at exactly 180 degrees and the third pulley at exactly 270 degrees. Determine how much mass you must place...

Homework Statement Find the magnitude and direction of the resultant force Fr=F1+F2+F3 by first finding F'=F1+F2 then Fr=F'+F3 known values are in the link Homework Equations Basic vector addition. Law of cosines. Law of sines. The Attempt at a Solution Here's my attempt. I'm not convinced by...

Homework Statement The diagram shows 3 vector all of equal length. Which statement is true? a. A+B=A-C b. A+B=B-C c. A-B=2A-C d. A-B=2A+C e. 2A+2B=2C Homework Equations None The Attempt at a Solution I just added them in my head, and thought that e. 2A+2B=2C would also work. Why doesn't it?

Homework Statement I am having difficulties in analyzing problems. Here are the problems: A1. A hiker begins trip by walking 25km southeast from her base camp. on the second day, she walks 40km in a direction of 60 degrees N of E, at which point she discovers a forest ranger's tower. Determine...

Homework Statement [/B] A plane flies the following paths: 168 km to the Northeast, 144 km to the Southeast, 246 km to the Southwest, and then 127 km to the Northwest. At the end of the trip, how far was the plane from the original airport? Homework Equations [/B]Pythagorean theorem...

(I have posted this in this section, rather than homework, because I hope to improve my general understanding of methods of finding limits through these problems.) 1: \lim_{x\rightarrow0} (\frac{cosec(x)}{x^3} - \frac{sinh(x)}{x^5}) I don't really know what to do with this one. I tried...

In case it's relevant, the context of my question is finding the allowed states of an atom. For example, given a nitrogen atom with (1s)2(2s)22p3, how do we find the possible states in terms of total orbital angular momentum L, total spin S, and total angular momentum J = L + S. It seems that...

Homework Statement For any natural numbers a,b,c, we have (a+b) + c = a + (b + c) Homework Equations Definition 2.2.1 Let m be a natural number. To add zero to m, we define 0 + m := m. Now suppose inductively that we have defined how to add n to m. Them we can add n++ to m by defining (n++) +...

Homework Statement I'm supposed to calculate all the states for a system with ##l=1## and ##s=1/2##. Let's say ##\vec{J} = \vec{L} + \vec{S}##. I want to find the Klebsch-Gordon coefficients. I know that said system has 2 towers, one with ##j=3/2## and the other with ##j=1/2##. I've...

Hi, I am having a hard time understanding why the Addition Rule for two Random Variables holds even when the random variables are dependent. Essentially: why is E(X+Y) = E(X) + E(Y) when X and Y are dependent random variable? Given the two variables are dependent, if X happens to take on a...

1. What is the expected major product arising from the reaction of 2-ethylbut-1-ene with bromine in carbon tetrachloride? a. 1-bromo-2-ethylbutane b. 2-bromo-2-ethylbutane c. 1,2-dibromo-2-ethylbutane d. 1,1-dibromo-2-ethylbutane e. 1,1,2-tribromo-2-ethylbutane Attempt: For this one I'm...

Homework Statement Anna and Bob have identical meter sticks. Anna an observer on Earth, sees Bob traveling in a spaceship at 0.5c away from her. Bob leaves his spaceship in an escape pod, moving away from Earth and the spaceship at 0.1c with respect to the spaceship. How long is Bob's meter...

Homework Statement Hello, this is my first time taking physics in college, and I have read the section twice and I this is what I understand. If someone could point me in the right direction, that would be great. For example: How do I find the angle for example from Vector a + Vector b. Would...

I feel I understand relativistic velocity addition fairly well. However, the way I usually see it modeled is with two travelers moving in the same direction. Bob is in a spaceship traveling at 0.6c and shines his flashlight in the direction of travel. An inertial observer, Alice, relative to...

Homework Statement my question is at part 2 , since c form ch3ch2 is electron deficient, but after OH2 added in , with lone pair electron on O, the c should be no longer electron deficient anymore. am i right? why the + sign is moved to O now? Homework Equations The Attempt at a...

There seems to be problem with the answer to this problem. Weirdly, they get that the x component of F1 is 3N! Then, when they end up calculating the direction in C, they get 9.5°. I get 9.16°. Am I the one going crazy? This is fairly straight-forward!

What exactly does it mean for something to be closed under addition. most of the examples and questions i have gone past, are answered with u + v = u1+v1, ... , u_n + v_n and hence this is closed under addition. So i tried looking for examples where something was not closed under addition...

Hello all, I have just covered a very brief module on special relativity as a part of my physics course. I have also done some extra reading mostly; Morrin's Classical Mechanics. While I found the book really illuminating in some aspects, I still feel that regardless of how hard I try there is...

Homework Statement You are driving down a two-lane highway and a truck in the opposite lane travels toward you. Suppose the speed of light in a vacuum is 65 m/s. Determine the speed of the truck relative to you when a - your speed is 25 m/s and the truck's speed is 35 m/s and b - your...

a 9 L vessel contains 3 moles of helium and 3 moles of nitrogen at a pressure of 10 atm. Maintaining constant temperature, an additional 2 moles of helium are added. Assuming gases behave ideally, what are the partial pressures of nitrogen and helium at the end? Initially there's: 3mol He/(3mol...

Homework Statement Suppose in a container there are two spin-1 objects, A and B. It is found that ##J=j_1+j_22## and ##M=m_1+m_2=1##. What is the probability when ##J_z## is measured for A, values of m=0, m=-1 and m=+1 will be obtained? Homework Equations The Attempt at a Solution |j,j> =...

Homework Statement Show that when angular momenta ##j_1## and ##j_2## are combined, the total number of states is ##(2j_1 +1)(2j_1+2)## Homework Equations The Attempt at a Solution For the two gyros in the box, there are ##2j_1 +1## possible orientations of the first gyro...

Why does heat addition happen at constant pressure in diesel cycle ? what is the basic concept behind it?? please do enlighten me on this topic. thanks in advance

Evening everyone, I have a problem with addition of subspaces. Homework Statement I have to find the dimension of U and dim(V), of the union dim(U+V) and of dim(U\capV) U is spanned by \begin{align} \begin{pmatrix} 1 \\ -2 \\ 0 \end{pmatrix}, \begin{pmatrix} 1 \\...

can we consider gravitational field, magnetic field and electrical field as vector? can see the net result of this field.