# function

1. ### Temperature function of a gas derivation help

I cant quite figure out how the so-called temperature function of a gas equation is derived from equations 1-4 in the attachment(from Planck's treatise on thermodynamics). Anything that helps me understand how this is arrived at would d be much appreciated!
2. ### Deriving an expression for Radiation Pressure from Black body function

https://photos.app.goo.gl/LWzgtJsCXs4zCCbc7 Hello, I am reading a book about Stellar Structure and Evolution and it takes an expression for the Black body function in terms of frequency and substitutes it into a 'Pressure Integral' to derive an expression for Radiation Pressure. It just...
3. ### Finding an expression for the velcoity v as a function of time.

Here's the problem: Suppose an object with mass m is projected with initial velocity v 0 along the horizontal direction. Assume quadratic air resistance of the form F drag = αv^2 , where F drag is the magnitude of the drag force. Find an expression for the velocity v as a function of time...
4. ### Air refraction as function of TEMPERATURE

I have been looking for a chart/function but couldnt find. I need it to do studies on a Schlieren set-up, which relies on the difference of density, thus variations of the air refraction, to make air flow visible. Hereby I attach a video that explains it better QpP4qM8wcNM So, I...
5. ### How to determine the response function of an imaging system?

I'm trying to solve the following problem: If I had an imaging system in a black box, how could I derive its response function? My first idea was to use a plane wave, and measure the output. I know that the convolution of the input wave with the response function gives us the output. As we...
6. ### Determine velocity when given force function

I integrated the function between x=5 and x=9 and got 60 joules. Then I set that equal to (1/2)mv^2 and solved for velocity. I got 9.60 m/s. Is this correct? My professor said the answer would be about 9 m/s.
7. ### Extrema of two variable function

The temperature in a rectangular plate bounded by the lines x=0, y=0, x=3 and y=5 is T=xy^2-x^2y+100. What is the maximum temperature difference between two points on the plate?
8. ### Step response and peak response of a transfer function Reference https://www.physic

1. The problem statement, all variables and given/known data The open loop transfer function to a unity negative feedback system is given as: G(s)=50/s(s+10) 2. Relevant equations Unity feedback is used in this problem, and the system input is a step function. Y(s)=50/s(s^2+10s+50) 3. The...
9. ### Interpretation of Psi, fourier transforms of psi and dirac delta function?

One thing that confuses me about QM is that Psi(x,t)^2 is supposed to yield the PDF (probability density function) of the location of the particle. Usually this is represented by the Dirac Delta function. If I have attempt to observe only the position of a particle we have a thin vertical line...
10. ### cross-spectral density function

from the propagation equation for the cross-spectral density function how we would derive propagation equation for cross specral density funtion? as i am making a fourier transformation of preceding equation but propagation equation for cross spectral density function is at single frequency so...

My (limited) understanding of QM has been that, if you measure the position of a free electron (no forces on it) with an idealized precision (assumed zero error), then immediately after that measurement, the (position) wave-function psi(x) is a Dirac delta function, and the momentum...
12. ### More on the Dirac Delta function

Thank you for the previous help on this problem set. I am having trouble completing problem 3.c on the attached problem set. By turning it into an appropriate sum, evaluate the following integral a^(-1) ∫_(-∞)^∞▒〖dx e^(-[x/a] ) δ(sin(x/a) ) 〗 I know that my solution is incorrect...
13. ### Dirac Delta function integral

Please see the attachments for details. This is for problem number 1 in homework1.pdf. Basically there is an integral with an absolute value. We are supposed to break the integral into positive and negative parts, integrate, recombine the parts and simplify. Then show that the result...
14. ### Diffusion angle of a ball as a function of kinematic energy and targeting error

I'm working on an idealized mechanical model of the electromagnetic interaction between an incident alpha particle and an atom's nucleus, like in the Rutherford experiment and his golden sheets. The idea is to launch a ball with a targeting error b (the distance between the initial direction of...
15. ### Interpreting a transfer function response

Hey, I'm just starting out in linear control theory and was wondering if anyone here might give me a hand in seeing the physics in some of the basics. Say, for example, that I have a really simple system with transfer function H(s) = 1/s^2, s being the Laplace variable, and that I feed it...
16. ### Given a force as a function of distance, find velocity at given x?

Heres the exact problem: "The only force acting on a 3.3 kg body as it moves along the positive x axis has an x component Fx = - 6x N, where x is in meters. The velocity of the body at x = 3.0 m is 8.0 m/s." It wants me to find velocity when x = 4. I've tried nearly everything I can...
17. ### Mass as a function of time.

Hi all, This is a set of questions that I have been stuck on for a number of weeks set by a university in the UK where I am working towards a HNC. After a search on google I have found the question answered but obviously don't want to just copy when I don't understand it myself. Questions A,B...
18. ### Planck's constant and work function of a metal

So, I'm having difficulties in getting this problem started: "In a photoelectric experiment, it is found that a stopping potential of 1.00 V is needed to stop all the electrons when incident light of wavelength 260 nm is used and 2.30 V is needed for light of wavelength 207 nm. From these...
19. ### function of time

2 problems 1.The position of a particle as a function of time (in s) is given by C1 + C2t + C3t2. Let C1 = 18.6 m, C2 = 39.2 m/s and C3 = -0.29 m/s2. What is the velocity of the particle at time t = 11.0 s? my attempt=i used algebra, knowing C1 is distance, C2 is velocity, and C3 is...
20. ### function of time

Last question on my assignment and i am stumped, someone told me to subtract the larger from the smaller but that still doesnt give me a minimum value. The x-coordinates of two objects moving along the x-axis are given below as function of time t. x1 and x2 never have the same value. Calculate...