A hole is an opening in or through a particular medium, usually a solid body. Holes occur through natural and artificial processes, and may be useful for various purposes, or may represent a problem needing to be addressed in many fields of engineering. Depending on the material and the placement, a hole may be an indentation in a surface (such as a hole in the ground), or may pass completely through that surface (such as a hole created by a hole puncher in a piece of paper). In engineering, a hole may be blind or through if it is partial or complete depth.
Homework Statement
An insulating hollow spherical shell of radius R has a small hole on it .The shell has a charge Q uniformly distributed over it. What is the electric field strength at the center of this hole?
Homework Equations
The Attempt at a Solution
If the hole weren't...
Hey, so I've been wondering about this question for a while and was wondering if anyone could support the Big Bang theory in this respect or anything else. Just wondering if anyone has an answer that might aid me in understanding this, thanks.
Hello.
I was reading through Black holes and what happen when information falls inside the black hole. The intellectual battle between Susskind and Hawking...I also heard through the lectures on Susskind describing what is information.
(a) Bits
(b) A single photon
(c) The n number of...
Here's the best of my understanding of the official explanation of what happens when O' fall in a black hole.
eternal black hole
For an outside observer O, O' slow down more and more as you approach the event horizon, at the event horizon time seems to completely stop. In the reference frame...
As you guys probably know, as an objects speed increases, so does its mass. I was wondering if a black hole could be induced by speeding up a neutron star or some other massive object with high density to high speeds? Also, what is the equation that explains this phenomena? Also, if this is...
Hi.
I was wondering about this. In the "Star Trek" movie of 2009, the destruction of the planet Vulcan is shown, by a black hole being formed in its core. I'm curious: supposing you had some means to create, or collapse part of the planet to form, a black hole in its core, what would, according...
In the big crunch scenario, matter would clump together faster and faster, could a blob of this matter form a black hole, even if it had the necessary energy to maintain fusion or if it had no energy to burn up the matter? If the big crunch were to happen, and a single blob of mass existed at...
Homework Statement
A uniform cylinder of radius R and mass 8kg has an off-axis hole drilled through it at 2R/5. Its new mass is 6.5kg. The hole and cylinder are parallel with their centers being the same height. What horizontal force, F, must be applied on the top to keep the cylinder at rest...
Homework Statement
When a container full of water with a small hole in the side is at rest on a table, water flows out of the hole and follows an approximately parabolic arc before hitting the table. Suppose the same container is dropped down a mine shaft so that it is in free fall. Air...
What would happen if the bore hole of a pulley in a conveyor was significantly larger than the shaft like in the figure below:
I would imagine if the RPM was high, the whole system would shake violently. However, what if the RPM was around 30 RPM. Would the conveyor still function properly...
I asked a question recently about orbiting black holes. Thanks for the answers.
So if I'm correct in my thinking, long before the event horizons of orbiting black holes become close to each other, the two accretion disks get mightily disrupted and much of the mass of the two disks would fall...
So recently I took a blow to my understanding of how hole conduction works. Like many others I had the idea that the hole i just an absence of an electron and when it moves the collection of electrons move opposite direction of it like in the analogy where the electron hole is an empty seat in...
Homework Statement
A hollow insulating sphere of radius R is charged uniformly to a charge of Q. There is a small hole on this sphere. What is the electric field strength at the centre of this hole?
Homework Equations
The Attempt at a Solution
I think I have to use Gauss's law...
A recent APOD page discussed jets ejected from black holes. It said, "Recent evidence indicates that these jets are composed not only electrons and protons, but also the nuclei of heavy elements such as iron and nickel."
What is thought to be the mechanism of production of these heavy nuclei?
Homework Statement
One end of the chain falls through a hole in its support and pulls the remaining links after it in a steady flow. If the links which are initially at rest, acquire the velocity of the chain suddenly and without frictional resistance or interference from the support or from...
In the "closed" Friedmann model, there is a Big Bang in the past and Big Collapse in the future. Big Bang singularity is something different than a Black Hole singularity.
Now my question: is the Big Collapse singularity mathematically equivalent to a Black Hole (localized) singularity, or is...
Homework Statement
Astronomers believe that there is a massive black hole at the center of the Milky Way galaxy. What evidence is there for that?
A group of astronomers have observed a star "S2" in a 15.2-year orbit around the center of the galaxy. They measured the period of revolution T =...
Hi, two questions
A) If a black hole travels into a wormhole would it collapse the wormhole?
B) If a wormhole travels through another wormhole what would happen?
Thanks for any help.
Supposing there is a metal cylinder that fits into a perfectly machined hole in a block of metal with the cylinder protruding some length from the block. If you place a force on the edge of the part of the cylinder that is protruding in a direction perpendicular to the hole, is there a...
I've read that there's a point in a black hole where matter is infinitely dense. There is zero volume but infinite density.
How is it possible for something to have zero volume but have an infinite density at the same time?
I've never fully understood how anything can actually fall into a black hole without the black hole evaporating first. Since time dilates exponentially as I fall into a black hole, a point will come where a few seconds for me will be millions of years in the outside world...trillions in fact...
Homework Statement
This is the original problem for part 1
A)
Suppose that a black hole of mass M accretes mass at a rate ##\dot{M}##. Further suppose that accretion of mass Δm leads to the radiation of energy ##\Delta E= \eta Δmc^2##, for some effeciency of energy conversion, ##\eta##. What...
Homework Statement
Suppose that a black hole of mass M accretes mass at a rate ##\dot{M}##. Further suppose that accretion of mass Δm leads to the radiation of energy ##\Delta E= \eta Δmc^2##, for some effeciency of energy conversion, ##\eta##. What is the luminosity of emitted radiation in...
If a distant observer were to observe a large cube made of strong material approach a black hole, what would he see?
ISTM that if one of the faces of the cube were to be the nearest approaching portion, he would see the four edges of the face become shorter and curved, and he would see the...
Homework Statement
Consider a charge density of ρ=k/r , k>0 , located between a sphere surface of r=a and another sphere surface of r=b, b>a.
I'm supposed to find the electric field on all space, which I did. Now I have to find the electric potential in all space, which I also did for r>b...
Please help me to understand why the path of the photon changes when travels close to a material (for example the edge of a hole)?
I'm aware that the path of the photon can be calculated by the QM principles as a probability wave and by this the change of the wavefront follows the...
If a beam of light is on a trajectory that is perfectly tangent to the event horizon of a black hole (or a little below tangent, allowing it to "dip" into the EH for a moment), is it possible that that photon could be pulled into a never ending orbit around the black hole? Or is the gravity too...
I was thinking about the supermassive black hole that is theorized to be at the center of our galaxy, and indeed, at the center of most galaxies. If that black hole is continuously consuming the stars, planets and gas around it, given enough time, will it not consume the entire galaxy that...
"Rewinding" a black hole - Can a spinning black hole become a star?
I couldn't fit all the important prerequisites and context in the title, so I'll set up the thought experiment here. Some of these assumptions are also questions, and might be easily refuted, thus answering the main question...
I was watching a documentary about the universe and it claimed that black holes were sometimes as small as 2 kilometers across. Now before this, my general understanding of a black whole was that it had no physical extent in space, that it was just a 1 dimensional singularity, and the black...
Given a massive object that has entered a BH's accretion disk, what percentage of its mass is typically re-radiated away as i) accretion disk radiation and ii) polar jet radiation/particle streams before ever getting to the event horizon?
How much does a black hole *not* consume of its...
Hello, I would first just like to introduce myself I'm Adrian and I am a grade 11 student so this type of stuff is way out of my league in terms of mathematical complexity.. but are there equations that define a black hole (What is happening to particles when they enter the event horizon.. etc)...
Holographic BB out of prior BH (stringy version of BH bounce)
http://arxiv.org/abs/1309.1487
Out of the White Hole: A Holographic Origin for the Big Bang
Razieh Pourhasan, Niayesh Afshordi, Robert B. Mann
(Submitted on 5 Sep 2013)
While most of the singularities of General Relativity are...
The Schwarzschild equation for a black hole's event horizon is rsh = 2GM/c2 or (1.48 x 10-27 m/kg) x M. Thus, the ratio of mass to radius is 6.7 x 1026 kg/m for all black holes.
If the mass and radius of the universe are calculated as follows,
Mass of the gravitationally connected universe...
Homework Statement
A rope of mass M and length ##l## lies on a friction less table, with a short portion, ##l_0## hanging through a hole. Initially the rope is at rest.
a. Find a general solution for x(t), the length of rope through the hole.
(Ans: ##x=Ae^{\gamma t}+Be^{-\gamma t}##...
Black holes have an entropy, but they evaporate. At the end of the evaporation, the entropy is greater than the entropy at the beginning of the evaporation. I am looking for an example of a quantitative result for the entropy of the black hole after evaporation (or the entropy difference...
"Where should a second hole be placed in order for the light [...]?"
Homework Statement
The problem and the solution are attached as jpg files. (Given that the problem depends on the drawing, I think it's more convenient for the reader to view the text in the image as well.)
Homework...
I was under the impression that one of the ways of representing a black body (for explaining the ultraviolet catastrophe) is as a 'resonant box'. Frequencies lower than the dimensions of the box cannot be contained within and the black body is thus 'transparent' to those frequencies of light...
As I understand, complementarity approach claims that there are 2 different stories, for an infalling observer and an observer @ infinity, they are different, but no observer can confirm both.
But it violates the Block Time/Eternalism, where time is a dimension, the whole world is a static...
Imagine we have a very tall vertical cylinder like a very elongated telegraph pole, that is rotating at 200 rpm about its long axis on near perfect bearings. Initially the cylinder is sufficiently far from a black hole, that differences in gravitational time dilation between the top and bottom...
For outside observer, an object falling into black hole seems to freeze at event horizon and never cross the boundary and proceed inside the black hole. This is of course not the case in the falling objects own reference frame. Depending on the size of the black hole, a falling object may not...
I thought readers would be interested in this interesting article today on black hole and neutron star mergers and the very small possibility of instantaneous sterilization and extinction of all life on earth:http://www.space.com/22231-gamma-ray-bursts-neutron-stars.html...
consider have a metric
ds^2=f(r,t)dt^2+g(r,t)dr^2+k(r,t)dΩ^2
if g(r,t) =0, we have black hole?
any metric that has this condition, are black hole? or not this is first clue to determine black hole and we should check some other features!
solution of g(r,t)=0, may have some roots, for example...