OK, I'm familiar with that pressure problem. A very simple solution (use to have that in my military base) is when you have two different pressures in the hot and cold taps (but above atmosphere): you get two pipes (hot and cold) with each having it's own separate controllable valve and connect...
In classical thermodynamics the state function is the Internal Energy which is modulated by Work done "to" and "by" as well as Heat, transferred "to" and "from". Not all Internal Energy is Thermal Energy (i.e. is not proportional to temperature) e.g. the Energy that is stored in chemical bonds...
What do you think about installing a water tap with two lines (two in - one out): hot and cold? It would dilute the hot water with cold water to a comfortable temp.
Cheers.
Roman.
You should understand that any net (macroscopic) Heat or Thermal Energy transfer is from "Hot" to "Cold" (the so called parcel receives radiation energy but it also radiates it away as a function on its temperature). So I claim there is no difference in your definition of Heat and Thermal...
In the annihilation of particles charge is conserved and as far as I know Electromagnetic radiation is still created by Charge (electrons and/or quarks). In a black EM radiation is, as far as I know, created by Charges and escapes the event horizon due to virtual charged particle annihilation...
Change in Work = Change in Potential Energy + Change in Kinetic Energy
*Total distance traveled is not important as there are no fricative (tangential) forces.
Cheers.
Roman.
As I see it you need to write it in the from of a differential equation and Matlab will solve it (numericaly or otherwise):
Sum( Force( V(t) ) ) = mV'(t)
i.e. the sum of all the forces acting on the drop (drag ect.) - you need to write the those forces as a function of the drops velocity...
Do you have theoretical knowledge in how to describe any of those motions that create the resonances? Write the equations and look what is dependent of what.
Cheers.
Roman.
From what I remember the transmition coefficient is defined as the ration of the intensity that is being transmitted to the total intensity and intensity is proportional to the electric field squared. Intensity is proportional to em energy. Does it make sense?
Cheers.
Roman.
Welcome to the forum!
This is more of a educational forum you might have better luck on an Engineering forum.
If the heat exchange is home made it's very hard to predict the outcome, the bottom line is that you will have to test your setup.
Good luck !
Roman.
All the energy you put in pushing the car up the hill will not be lost. At the end destination the car rolling of the hills will move at a greater velocity thus will have greater kinetic energy than the car you didn't had to push so hard.
It all could be written in vie the Work-Energy theorem...
In both cases it could be called Heat/Thermal energy transfer. In classical thermodynamics Energy can be transferred by two mechanisms: doing work and transferring heat (which is the transfer of Thermal energy). As far as I know Heat and Thermal energy are synonyms. *of course there might exist...
Excellent question!
The fact of the matter is that anything with temperature higher than absolute zero (0 kelvin) will loose heat to the surroundings via thermal radiation (electromagnetic radiation due to non-zero temperature).
http://en.wikipedia.org/wiki/Thermal_radiation
Roman.
You are correct, those are distinct. The first one, as I said, was a common answer given by physicists. The second answer is different but more interesting as it may in fact be what stops materials going through each other. I was mealy pointing the OP to the right direction, where he may find a...
As all of us know, computers affect our lives greatly. All modern microprocessors are very much affected by quantum mechanics (quantum tunneling) and we are near the limit of current silicon based transistor functionality.
Spintronics? The question was: "What technologies based on quantum mechanics affect our daily lives?" Personally the only person I know who's life is being affected by Spintronics is my buddy who does research in the field at the university ;)
One answer might be: The unit of E (energy) is a Joule, the unit of h (Plank's constant) is Joule time a second. If you want the equation to be correct you need to multiply h with something that has units of 1 over a second.
Roman.
One way so solve it (propably not the simplest but an interesting one) would be to use the fact that F(s)G(s) (multiplication of the functions) in Laplace plane is f(t)*g(t) (convolution of the functions) in "time" plane.
L^{-1}\left \{ \frac{1}{(s^2+4)^{2}} \right \} = L^{-1}\left \{...
1.
I assure you this is not homework. You are welcome to invent any test for me (I'm a B.Sc in ME).
2.
I will elaborate: Ideas form the last 20 years that are not basic general relativity, nor any old ideas in classical physics and not basic quantum mechanics.
By 20 years I mean ideas that are...
Read and learn:
http://tutorial.math.lamar.edu/Classes/CalcIII/ChangeOfVariables.aspx
and check out:
http://en.wikipedia.org/wiki/Jacobian_matrix_and_determinant
Hi!
I will help you with a full list of steps for one of the parts:
\frac{4}{3(z + 4)} = \frac{4}{3(4(\frac{z}{4} + 1))} = \frac{1}{3(\frac{z}{4} + 1)} = \frac{1}{3(1 + \frac{z}{4})} = \frac{1}{3}\cdot \frac{1}{(1 + \frac{z}{4})} = \frac{1}{3}\cdot\frac{1}{(1-(-\frac{z}{4}))} =...