Relativity Question, need some help?
HORRIBLE QUESTION!!! Your teacher is teaching you a bad concept. Even worse, adding density to the mix. Einstein was uncomfortable with the concept of Relativistic Mass because: Many contemporary authors such as Taylor and Wheeler avoid using the concept of relativistic mass altogether: "The concept of "relativistic mass" is subject to misunderstanding. That's why we don't use it. First, it applies the name mass - belonging to the magnitude of a 4-vector - to a very different concept, the time component of a 4-vector. Second, it makes increase of energy of an object with velocity or momentum appear to be connected with some change in internal structure of the object. In reality, the increase of energy with velocity originates not in the object but in the geometric properties of spacetime itself. When we get into Relativity, “mass” has 2 different meanings. There is “Rest Mass” and “Relativistic Mass” and they are NOT the same thing. But, I will show you how to do this. Calculation We need the Lorentz Transform (LT) and the Inverse Lorentz Transform (ILT) The real symbol is GAMMA but I cannot type that easy. LT = 1/sq rt (1 - V^2) (If I use V as a fraction of the speed of light, I can write it that way and ignore c. ILT = sq rt (1 - V^2) So, lets handle the sq rt term ILT = sq rt (1- V^2) = sq rt ( 1 - 0.9^2) = sq rt ( 1-0.81) = sq rt ( 0.19) = 0.436 Then LT = 1/0.436) = 2.29 Length Dilation = Earth Length * ILT = 1. m * 0.436 = 0.436 m (Width and height do not change) Volume = 0.436 * 1 * 1 = 0.436 m^3 I HATE THIS!!! Relativistic mass = Earth Mass * LT = 2.7 ^ 10^3 kg * 2.29 = 6.19 * 10^3 kg Relativistic Density = 6.19 kg / 0.436 m^3 = 14.2 * 10^3 kg/m^3
Can anybody explain Wave function (Quantum Mechanics) in simple language ?
In quantum mechanics, the wave function is a mathematical quantity that describes a particle (like an electron). To be specific, the wave function determines the probabilities related to a particle's position, momentum, and other physical properties. If you have a particle's wavefunction, and you want to know what probability you have of finding it in a certain area, you would do some mathematical operations (see footnote) on the wavefunction to find that probability (For example you may discover that the particle has a 60% probability of being in that area). If the particle has a 60% probability of being in an area, then when you repeatedly measure the particle's position, you will find that 60% of your measurements show that the particle is in that area while 40% of your measurements show that it is outside that area. Again, the wave function is what determines these probabilities, not just for the position, but for other properties of the particle like momentum and spin. The reason why its called a wave function is because it satisfies an equation (the Schrodinger equation) that looks a lot like the equations for waves. FOOTNOTE: To be precise, the mathematical operations you perform on a wavefunction to find the probabilities are as follows: first, multiply the wavefunction by its complex conjugate, then take the integral of the resulting wavefunction, and normalize it so that you cannot get probabilities grater than 100%.
Quantum Mechanics vs. Relativity?
I have recently reread "A Brief History of Time" by Stephen Hawking and in the book, he states that quantum mechanics and relativity are contradictory to each other and therefore cannot both be correct. I realize that at present physics lacks a unified theory that incorporates both but in what ways are they contradictory to each other? And if they cannot both be correct, how is it that we are able to make incredibly accurate predictions using both? Does it have to do with the presence or lack of singularities within the Universe? Thanks in advance.
What is "missing" between quantum mechanics and general relativity?
There is nothing missing them between them, they are both perfect in their realms. Quantum mechanics is able to explain all the properties and behavior of a quasi particle (quantum particle), Superposition, quantum tunneling, wave like pattern in Youngs slits experiment, quantum mechanics even explained Hawkins radiation as “There is no such empty space in quantum mechanics, it's fuzzy, foamy (quantum foam)”. Quantum mechanics even explains the formation of particle as the excitation in respective particle field. Classical mechanics was unable to explain discretion of particle in their field unless quantum mechanics came in the game it solved Uv catastrophe and vacuum birefringes.Einstein's relativity is accurately able to explain motion of a massive celestial body in a smooth, flat, curved space (Riemannian and Pseudo-riemannian Manifold) in which massive object says spacetime how to bend and that geodesic says another massive body “how to move’’.Whereas special relativity inhibits anything to travel any thing faster than the speed of light (E=mc^2). But in quantum physics there is no such thing a speed limit, the information which travel between two entangled particle is approximately (10000 x c) may be in hyperspace . So they are both relevant in their realms but the thing which makes paradox is their unification as you seen above special relativity says nothing can travel faster than speed of light and the space time completely smooth and flat whereas quantum mechanics is completely opposite. There is a need of a agent which unifies both the world and it is hypnotized that it may be a “STRING” yaa it is string theory string theory swipes the topology but the properties remains as usual like in quantum mechanics and relativity, string theory came up with Calabi yau manifold which provides us 10,11 even 26 dimension but it is able to explain all the behaviors of boson and fermions it may also explain the black hole singularity which is in the great debate since past few decades, in the form of some stringy material which we called as FUZZ - BALL . String theory is also able to explain the very first place just after big bang.Remember this is all just for removing the paradox which arises during the unification of relativity and quantum mechanics.
Quantum Mechanics Science Fair?
Wow, you are ambitious. These are both very advanced topics. Stephen Hawking based his career on trying to fully understand the contradiction between GR and QM. He showed that it isn't always a contradiction. As for string theory, I'm not even sure that anyone is 100% sure that it solves this problem. This is really deep stuff. It looks like you've already picked the first one, though. I bet you can find some things to say about this, at least. I recommend reading The Elegant Universe and A Brief History of Time. Both of these provide a kind of brief introduction to these horribly complex subjects.
Quantum Mechanics--Electromagnetic radiation?
If the power is 25.5 (W) = 25.5 (Joules/second), the number of photons per second is: n = [25.5 (J) / (energy per photon)]/second Energy per photon = h*f = h*c/WL = 6.626e-34 * 3e8 / 6.5e-6 = (3*6.626/6.5) e-20 = 3.06e-20 Therefore, n = 25.5/3.06e-20 = 8.33e20 or 8.33 * 10^20 photons/second. Right on!
I would like to teach myself general relativity and quantum physics? How do I proceed?
Google ‘open university general relativity’ and likewise for quantum mechanics.
Ridiculous physics questions?
I had one in college. "Billy and Chrissy were sitting on a 30 ft. column measuing x by y. Billy weighs z and Chrissy weighs z+10. Can the clumn support them? [the answer was no]" "Extra credit-What can they do to resolve their problem?" Best answer given by a student: Billy can blow his load and Chrissy can empty her bladder.