@Obliv good academic/ scientific work is "selfless" in general. likely "our kids" will face many of the issues the superintelligence book raises. there are "only" ~2 decades between generations.
I hope this is the right place to request an answer to the question here: physics.stackexchange.com/questions/250330/…. A short description: in electrostatics, if some conductor is earthed, what happens to it? If this isn't the right place, where am i supposed to request answers of willing users? Thank you very much!
@FreezingFire the "Earth" behaves like a giant capacitor i.e. you can push charge onto it or pull charge off it without changing its voltage (very much).
Umm, yes, but actually i am not able to apply that concept to a specific problem (i.e. use it mathematically), that is mentioned in the question (too long to put here). Could you help me with it?
user54412
@Slereah There are the occasional papers I never read too closely. Once we discovered that galaxies really are distributed homogeneously beyond a certain scale, interest in this waned a lot, since it probably would only ever be a small correction to things.
@JohnRennie Umm, yes, but actually i am not able to apply that concept to a specific problem (i.e. use it mathematically), that is mentioned in the question (too long to put here). Could you help me with it?
@JohnRennie Actually, when the plates are not earthed, i am able to tell the charge, distribution as i have said in my last comment on Farcher's answer! But anyways, i would like to hear you out completely...
When you close the switch S1 you are connecting the plate to an effectively infintiely big ball (the Earth) of mobile charges. So charge flows off the Earth and onto plate A. Because the capacitance of the earth is so big there is no assciated change in potential.
So a charge -Q flows off the Earth and onto plate A. Plate C is unaffected because it still has no way for charge to flow onto or off it.
@JohnRennie Okay, so what i understand from this is that the Earth remains practically unaffected, but then why the specific value of -Q appears on the plate? Why not some other arbitrary value of charge? Again pondering a bit more, it seems to me that the two plates want to behave like a capacitor, so that they have equal charges on opposite plates. Am i correct in thinking so?
Yes, the plates are behaving just like a capacitor. Indeed they are a capacitor.
I'm trying to think of a simple way to explain why the charge that flows onto plate A is equal and opposite to the charge on plate B. Give me a moment to think about it ...
Actually I'm going to have to drop out for a bit. I'm currently working and something has come up.
Is it just the issue of why the charge on plate A is equal and opposite to the charge on plate B?
@JohnRennie Yes. I understand that the positive charge will attract a negative charge from the earth onto the plate A (because of attractive force), but i don't understand why only a value of -Q is attracted! It could probably attract a lot more (or less)! Also, i am not able to connect this to the concept that earthing "only" sets the potential of a point to zero. Thank you for your interest in this! :D
We use the polar coordinate.
$\sum F_\theta=mgcos\theta=ma_\theta$
$a_\theta=gcos\theta$
While body is on the sphere, r is constant. So, we have:
$a_\theta=R\alpha$
$\alpha=\frac{gcos\theta}{R}$
$\alpha d\theta=\omega d\omega$
$\frac{gcos\theta}{R} d\theta=\omega d\omega$
$\frac{g}{R} (s...
@FreezingFire Earthing sets the potential of plate A equal to the Earth. That means the integral of the electric field, along a path starting at the Earth and ending at, say, the left end of plate A, is zero. If the plates are big, having plate A and plate B have opposite charge will guarantee this happens, because then the field outside the two plates will be nearly zero.
I understand that you want to be helpful, and that's why most of us are here on this site. But you help people most by enlarging their understanding of physics. Just doing their homework for them doesn't achieve this.
I doubt anyone thinks you are stupid. Your answer to the question is a perfectly good answer. My guess is that it was downvoted because you should't be encouraging homework questions, not because it was a bad answer.
Can you calculate the stress energy tensor in a scattering btw
I'm not sure I've ever seen it done
I guess the in and out are pretty easy since it's basically free but can you do it around the collision
Like can we know the energy densities in a collision event
Perturbatively or otherwise
I mean I guess the natural way would be to get the SET from the propagator as a perturbative series, but since I've never seen that done, I am suspiscious of whether that's a good idea
But the only problem would perhaps be, with too much pinging, ACM would be attending to all sorts of stuff which is homework like/ otherwise off topic for the site.
Which means a major timesuck, which'll work like a negative feedback loop.
And then, ACM will stop responding to pings, like the recent "Why are you pinging me for that" explosion?
But nevertheless, this supernatural gimmick pinging system is an irresistible itch.
This integral pops up in my research project (convolution of a gaussian and a maxwell boltzmann)
Not only it is nonelementary, it does not even have a closed form in terms of known spaecial functions (and Mathematica is known to have a lot of crazy special functions defined)
currently trying to figure out the best algorithm to numerically curve fit with it
@Slereah Bonus point that matlab have trouble on that integral too. As for manually, after being enlighted by yuggib of a simple thing that I overlook, it seems the result is promising... I am expecting it might be some kind of gamma function because of a gaussian and a sqrt term
Inspired by this question on Gaming.SE
Using actual in-real-life physics, what would the terminal velocity of a sheep actually be? I would assume it would be around 50m/s, but I might be wrong.
Bonus question:
What would the terminal velocity of a chicken be?
Animal-friendly answers preferred.
ok it reduces to something nice $$Gaussian * Maxwell Boltzmann=\int_{-\infty}^{\infty}\sqrt{A-bx}e^{-x^2}dx$$ which can be easily evaluated into something involving a gamma function
How to find this:$$\int^{+r}_{-r} \sqrt{\dfrac{r^2}{r^2-x^2}}$$ i know to find integral if this were to be an indefinite integral but his is a definite with limits how to proceed?
a silly question about GR: einstein said it was the earth which was accelerating up not the apple(which is accelerating down in earth's frame), then what happened on the other side of the earth?
In mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.
Formal definitions, first devised in the early 19th century, are given below. Informally, a function f assigns an output f(x) to every input x. We say the function has a limit L at an input p: this means f(x) gets closer and closer to L as x moves closer and closer to p. More specifically, when f is applied to any input sufficiently close to p, the output value is forced arbitrarily close to L. On the other hand, if some inputs very close to...
@ramsay you are implicitly thinking of acceleration as the second derivative of some position variable $a=\frac{d^2x}{dt^2}$. However the acceleration referred to in this case is proper acceleration defined as $a^{\mu}= \frac{du^{\mu}}{d\tau}+\Gamma^{\mu}_{\alpha \beta}u^{\alpha}u^{\beta}$.
A ring of radius R and mass M lies on its side on a frictionless table. A bug of mass m rests on the ring. The bug starts walking on the ring with constant speed v relative to the ring. Please Describe the motion of ring relative to ground frame.
(In some questions the ring is being pivoted, but...
@JohnRennie I once claimed I was constantly bored and had an infinite amount of time to kill. This is apparently not true. Yes, completely retired. I tutor students and do programming for fun, but only SS pays me.
@barrycarter when I was a student you'd fight to get me out of bed before lunchtme, but as I've aged I think my body clock has shifted to a shorter day length.
@barrycarter correct, but I'm not a chat moderator just a room owner. For example I can't suspend you. All I can do is move messages to trash ("trash" is a room set aside for junk posts) or "kick mute" you.
@barrycarter I have to agree with you. If I were suspended for 24 hours I'd probably have cooled off after sleeping on it. But if I were suspended for 5 minutes I'd come back incandescent with rage. I can't see myself ever using the kick mute.
@JohnRennie Ah, while you wait for backup, makes sense. Plus I suppose you could do it multiple times, although, again, that would just piss people off more... which actually sounds kind of fun.
@JohnDuffield I would like to publicly thank you for sending me a signed copy of your book.
My question was closed1 on Phys.SE. Can you recommend me another internet site where my question might be on-topic?
Here we keep a list of other internet sites that might help students2 of physics. One site per answer. To keep the list at a reasonable size, please only include sites which fulfil...
This has been implemented now. The short story is: room owners can kick abusive users, who will then be banned from re-entering the room for a certain time.
Of course you want not just the short story but all the dirty details, so here they are:
In the user popup that appears when you click on ...
@barrycarter on the main site I have no special powers. You get a few privileges with a high rep but nothing dramatic. I could write a new answer combining all pervious answers, but I couldn't delete the previous answers.
@JohnRennie Trueish, but I think this is more of a list question, even more so "stop bugging us and go look at these sites", in the hope they'll find their answer and won't come back. I'm trying to give a better "canonical" answer to homework questions.
@lucas I just didn't understand the point you were trying to make. If you pick any point in the rolling object it moves in an epicycle like motion so it doesn't have a centre of rotation, let alone two of them. I can't see why you think there is a paradox there.
@barrycarter I am worthless to you again I'm afraid :-)