Hmm, I know that this chat isn't the place for that, but is there any function on this site which allows you to save some question which you find interesting?
@EmilioPisanty What? That I know you on PSE? I wouldn't call it "discussed" but yeah he's the one that mentioned it to me actually, when we saw each other for the first time in a while some time ago, and PSE came up somehow.
@EmilioPisanty Party pooper! ;) Seriously though, I can't complain. I got 2 days of rep cap from that question. Originally, I posted a 1 sentence comment + a Wikipedia link to the Equation of Time, but I figured I ought to write a proper answer, since the mods tend to harass me for answering in comments. :)
How can I claim that 3 bodies, initially in contact, upon action of a horizontal, constant force, will stay together with the same acceleration?
Assuming no dissipating force (non-native speaker, looks wrong)
I came from Math.SE and I’m used to formal stuff, but I can’t seem to deduce the solution (description of the position of each body) only with Newton’s Laws.
I tried to assume general facts like “normal $\leq$ external force”, and that the positions (I assumed they’re in the same line) are increasing, always; otherwise they’d have collided and broken.
Professor told me something about Jacobi coordinates but I know nothing about it nor I think it’d be necessary.
@LucasHenrique Pushed in line with the external force? You set up Newton's 2nd law for each body including inter-body normal force (which are equal and opposite by the 3rd law).
That gives you a system of three equations with three unknowns (common acceleration $a$, and two inter-body forces $N_1$ and $N_2$)., which solves in a straight forward manner.
Though few books emphasize it the whole point of freebody diagrams is helping you to write such systems of equations so that the physics problem can be reduced to a math problem.
What would cause the one in the front to accelerate more than the others? You need a force for that, and it can't be the normal force because that relies on contact (unless you are willing to admit dynamic compression to get spring-like behavior but then you are in a much harder regime).
@LucasHenrique Normal forces are (in the physics 101 understanding) constraint forces. They take on exactly the value needed to enforce a rule. For normal forces the rule is "material object don't co-occupy the same space".
I'm still working on my wording for that rule. It really applies for one or more solid objects, but of course gases and liquids can mix.
@LucasHenrique You can define the deformation behavior of solids and observe what is going on in detail, but you that is a much harder computational realm.
Still I would not call this a "intuitive" theory, it is an effective theory in which the Hookian deformation of sufficiently rigid bodies is abosrbed into a simpler set of rules.
I was sad to know differential equations but not high school physics (not literally, because I knew how to solve it, but not how to formally deduce it). It’s not a “linear complexity” problem and I’m fine with it. Thank you all :)
@PM2Ring Serious question: do you think that the question deserves to be at score +24? do you think that it would achieve any meaningful score (say, above net score 5) from the core site community alone?
@EmilioPisanty No. And I agree it lacks sufficient prior research, which is why I originally intended to just leave a Wiki link comment. But then I figured that many people these days don't know about the equation of time, and a short answer about it may be useful & interesting.
Essentially, my question is, can one larger black hole be split into a system of smaller black holes?
I'm assuming energy requirements will be prohibitive, and that it may not be possible without exotic matter with negative mass. Can, if energy requirements are not a problem, and exotic matter i...
Classically, black holes can merge, becoming a single black hole with an horizon area greater than the sum of both merged components.
Is it thermodynamically / statistically possible to split a black hole in multiple black holes? If the sum of the areas of the product black holes would exceed th...
Surprisingly interesting question. It seems that even if you pump a lot of energy, a splitting may not occur
We don't tend to think of blackholes as "chunky" like lego blocks though, but perhaps that will change as LIGO continue to bring more insights into them
Coincidentally, a few hours ago, this question got me wondering if it's possible to split a neutron star. Of course, trying to blow it apart with a nuke is about as likely to succeed as attacking it with a plastic spoon. But maybe if you had a young neutron star with high spin you could increase its spin even further by accretion.
But could that disrupt it, or would it take so much energy that it'd just collapse into a black hole? On a related note, it's suspected that in some magnetars, the interaction between spin & magnetic field distorts the shape into a prolate spheroid, which is pretty weird, but IIRC, the ratio between the polar & equatorial radii isn't much greater than 1.
On the linked post, a comment was made addressing me with words that might be considered mildly rude by some. I had absolutely no issues with the comment (and thus, I didn't flag it). And yet, the comment has been deleted--it might have been deleted by the commentator themselves but I suspect the...
ok I have another QM question about the wavefunction
say that you see a system and write down its wavefunction as a superposition of eigenstates. then you make 1 measurement. my question is whether the wavefunction necessarily collapses into a single eigenstate (I guess not) or whether it can be modified but still in a superposition of eigenstates (I believe so)
Interested in some opinions concerning the following post on academia SE related to physics/career in physics. https://academia.stackexchange.com/questions/112512/the-utility-of-graduate-math-study-for-theoretical-physics Anyone familiar with categories (2) and (3) here and willing to give some advice?