Position Definition and 1000 Threads

a. The piston will be at rest when all its kinetic energy converted into work to push the gas, so: $$\frac{1}{2}m_0 c^2=P_0. \Delta V$$ $$\frac{1}{2}m_0 \frac{29}{4} \frac{P_0.V_0}{m_0}=P_0.\Delta V$$ $$\frac{29}{8} V_0=\Delta V$$ $$\frac{29}{8} L_0 = L_0 - L$$ $$L=-\frac{21}{8} L_0$$ My...

Say I have a rod with a notch at the very centre and another ro with a notch at the very end. Both rods are identical in length radius materials etc. Who would be impacted by the notch more? And if then both were to support a load at the end of the rod (both in tension), what effects would the...

In quantum mechanics there is no operator for time (problem with unbounded energy). position is no more an operator in field theory. was there still a problem in QM?

My hypothesis: A sequence with the gravitational waves detected, sent by modulating radio waves, could be received and used by other intelligent beings to find the corresponding sequence within their records and then compare it to calculate our spacetime position in relation to theirs. As...

At present i am only attempting the part a, i want to use the equation ##F=ma ; qE = ma;## ---> eq1 The electric field is given by the formula ##E = -\frac {dV} {dx} ## ##v = \frac {dx} {dt} => dx = v_0 {dt}## ---> eq2 (?) ##E = -\frac{dV} {v_0 dt}## Here ##V = -V_m \sin(\omega t) ## hence...

Hi everyone! I don't know how to solve the next problem, and if anyone could explain to me step by step how it is solved I would thank you a lot. I know it's not hard, but I'm not seeing how to do it. Thank you in advance!

Hi, I have this scheme, in which there are 3 segments: - I is coaxial to c axis and free to rotate in the origin. Length d1 - II is coaxial with a axis and free to rotate around c axis. There a fixed angle θ between a and c axis. Length d2 - III is welded to II, it's the PM segment. α is fixed...

Hi, I have a steel piston running below a 3-4 mm thick steel wall. I'd need to know the piston position below the wall without drilling the wall. I'm thinking to an inductive sensor but I think it will not work because it will detect all the time something in front of him (the fixed wall)...

Hello, i'm doing a project where the goal is to get the relative position of a space object to the earth, roughly. Basically, i want to say that this object is currently e.g. above New York. The data for any given space object that i have is (It's sourced from an NASA API). The specific...

I am curious about how to approach the problem mathematically, so I write. There are 4 dots on the square and I know the location. The rectangle moves and the positions and angles of the four points change. I also know the location of the four points that have changed. I don't know the...

Now I did what the suggestion said I started my calculation with x(t); x(t) = v0 * cosα * t As I was missing the t component I found it like this t = v0 * sinα/g t = 8,82 s Now I've put t back into x(t) and got this result; x(t) = 441 m Now what I think I have gotten is the complete...

Why can't we interprete /x> in relativistic QFT as position eigenstate?And by the way what is the difference between /x> and /1x>=Phi(field operator)(x)/0>?

For the first part, since $$ E(r) \propto \frac{1}{r} \hat{r}$$ by the principle of superposition the maximal electric field should be halfway in between the two wires. Then I'm not sure how to go about the second part of the question. I understand that the total potential due to the two wires...

I seem completely lost at this. I barely know where to begin. I know that the forces will sum to 0 but the vectoral nature of the question is really confusing me. Best I have is that the distance between e and q2 has to be sqrt(2) times the distance between e and q1. I don't know where to go...

Data: The speed of right wheel is considered to be 25 RPM. The speed of left wheel is considered to be 20 RPM. The distance, L, between wheels is 30 cm. Also the radius, r, of each wheel is 6 cm. Question: Using the data above for a differential robot, find the following: i: angular...

First image is an object for the concave lens so won't +ve direction change from right to left?! In that case, object distance will be -ve (from concave lens towards right side). Any ideas? Solution in the book takes first image's distance to be +ve. See attached ray diagram for clarification...

I know how to solve the problem but the only thing that's bothering me is what is A? According to me A is should be 2F ie 2 times the focal length distance. I thought of it like this: 1. First there will be an image formed due to the lens. 2. The image will be formed below the lens but the...

So from what I understand the position of an electron at any given time is based on a probability model. My question is how does gravity play a role in this model? Can we say the position of the electron is truly random? What if this "randomness" is caused gravitational forces pulling it in...

this expression : ##a(t) = −ω^2 (C_1 \cos θ + C_2 \sin θ)## I´ve never seen it before, where is it from? It kinda looks like centripetal acceleration, but what exactly are ##C_1## and ##C_2##? Can we calculate its velocity and position? If I´ve got two initial conditions ##x(0)=x_0## and...

For the region where V = 0, solving the schrodinger equation leads to the above value of wave function, psi = sqrt(2/L) sin(pi x/L) Since in the qus. it is not stated about the 'direction of movement' only restricted to +x direction, I think that the probability will be 1/2. And finding the...

I have not tried to make any calculation. It's nonsense, because I don't understand the statement. The first vector points to the west. Given a two dimensional coordinate system, the first vector is pointing to the left. I imagine geographical coordinates, north (+y), south (-y), west (-x), and...

Relevant equations : Kindly advise whether this approach is correct, I am not sure whether the friction force should be considered.

After getting the values of ψ₀(x) and ψ₁(x), I put them in the expression of ϕ(x) to get: ϕ(x) = (mw/πℏ)^(1/4) * exp[-(mw/2ℏ)x^2] * [α + βx√(2mw/ℏ)] Now when attempting to find the value of <x> by ∫xϕ(x) dx, I am having trouble determining the limits, as I am getting nothing useful by...

I am a bit confused about how kets in dirac notation are working. I read on wikipedia, that kets are linear, so |a*Φ>=a*|Φ>. Also I read (https://ocw.mit.edu/courses/physics/8-05-quantum-physics-ii-fall-2013/lecture-notes/MIT8_05F13_Chap_04.pdf) that this is not true for the position state ket (...

https://www.hopkinsmedicine.org/health/wellness-and-prevention/choosing-the-best-sleep-position

My answers: a) At points d the instantaneous velocity should be greatest since slope of c-d is greatest I think b) At point e and g instantaneous velocity is 0 c) at points b, c, and f instantaneous velocity is negative. Could you please verify my answers?

A gun fires 6 bullets per second into a target. The mass of each bullet is 3g & the speed of 500 m/s. Find the average force required to hold the gun in position.

First of all, i know that the motion will be bounded, is not necessary to know if the motion will be closed or not. Second, by analyzing the graphic of a effective potential with such conditions, the motion will agree with harmonic motion. Ok I don't know how to prove the harmonic oscillation...

I know the divergence of any position vectors in spherical coordinates is just simply 3, which represents their dimension. But there's a little thing that confuses me. The vector field of A is written as follows, , and the divergence of a vector field A in spherical coordinates are written as...

Please help me to find the position P and whether it will work in this solution by knowing the position. (The question, my solution and thought in the image)

Hey! :o A point is moving linearly with constant velocity $v$ and the movement is $x=a+vt$. The below information is given: Find the initial position $a$ and the velocity using the method of least square. Could you give me a hint how we use this method here? Couldn't we use the data of...

Hey! :o The function \begin{equation*}f(x)=\frac{x}{e^{x/9}}\cdot \frac{\sin \left (\pi (x-1)\right )}{x-1}\end{equation*} has at exactly one position $\overline{x}>1$ the same value as at the position $x=1$. Determine the position $\overline{x}$ using an iteration method with accuracy of two...

Here is my problem I have given this a go and get 26.77 degrees as my angular position My concern is do I double this angle to get the angular width between both 2nd order maxima's (which would be 53.53 degrees) or do I just leave it as 26.77 degrees? Thanks for any help!

why can't we know where electron goes after it was hit by light? Light has a travel direction, can't we assume that electron bounces to the same direction that the light was headed??

I would like to know what is the current consensus on the effect of the position of the wing relative to a tractive propeller disc's uniformity of thrust (the focus configuration would be WWII fighters).

any tip to start?

I have computed that the acceleration in my problem is a(t) = -gj - k/m(|r(t)| - L_0) * r(t)/|r(t)| Where a(t) is the acceleration vector, g is the gravitational acceleration, j is the unit vector in y-direction, k is the spring constant, m is the mass, r(t) is the position vector, |r(t)| is...

In my attempt to solve the problem, I used the formula for de-Broglie wavelength ##p=\frac h λ## and differentiated both sides to get ##Δp = \frac {hΔλ} {λ^2}##. Plugging this equation into the Heisenberg's position and momentum uncertainty principle formula and calculating the minimum...

I have an plano-convex lens with focal length 75 mm. The object is 325mm from the lens. a) Where is the location of the image after the lens? b) Where is the location of the image if an beamsplitter is placed after the lens? My solution, questions: a) a = 325 mm b = ? mm f = 75 mmm...

I want to present two scenarios here. First, there is a convergent nozzle shaped structure having a fan/blower fitted inside. In this case, the fan/blower is fitted at the throat of the nozzle. The inlet to throat ratio isn't important here. And the second scenario, the same nozzle is used but...

I've seen position as a function of time in Newtonian physics and potential energy as a function of position, is there an inverse? Any instance where position is a function of energy eg KE, PE. Maybe this is more appropriate for quantum mechanics or modern physics.

Hi guys We have a problem we we are building a flight controller for a drone, but fail to understand how to construct the position controller. It takes the x, y positions and the angle in between them which we call yaw. How to compute the angles roll and pitch for the desired x and y positions...

Gravity is the curvature of space time. Stars move relative to each other. How is the information of this change transmitted through spacetime? I have just finished reading "Reality is not what it seems - The journey to quantum gravity" by Carlo Rovelli. (Can the content of a book be discussed...

I'm reading a book on Classical Mechanics (No Nonsense Classical Mechanics) and one particular section has me a bit puzzled. The author is using the Euler-Lagrange equation to calculate the equation of motion for a system which has the Lagrangian shown in figure 1. The process can be seen in...

Here's my first attempt at a solution: First, I calculated the speed of one ring at the point where the tension would be zero. 3mgr(1-cosΘ ) = (1/2) * (3m) * (v^2). 3m * v^2 = 6mgr(1-cosΘ) Next, since I wanted the centripetal force, I took the result I got and divided by the radius. Fc =...

Homework Statement: a flat bed being attached to a notch, the limit on the notch was 1500N, the flat bed was 1200N . The length of the flat bed is 14 m, at 12 m are the tires. How close can you put a 1400N block to the notch before it surpasses the weight limit? Homework Equations: I tired...

How to find potential energy if force depends on both position of particle and time ? Suppose force is : f(r,t) = (k/r^2) * exp(-alpha*t), k, alpha = positive constants, r = position of the particle from force-centre t = time Is this force a conservative or non-conservative ?

What I have done so far: Since x=A, cos(ωt+ϕ) must equal 1 cos-1(1)=0 so -ωt=ϕ ω=2pi/(1/f)=15.3 ωt=3.7=ϕ

Once I have read that we can’t know a actual position of a particle because to see the particle we need to send photons and when we send photons it colides with the particle and change it’s position. Is this true?