Why is a best fit line used to find slope instead of using the data points?
Because the data points are generally not all in line with each other. If you connect the dots,
from one data point to the next and then to the next, you usually get a zig-zag line of many
segments, where the slopes of the segments are all different and cover a wide range. It would
be impossible to decide what the "real" slope of the data is. The "best fit" line is a line that finds
the pattern buried in the zig-zag data, giving each data point its best share of determining the best
single equation to represent the whole batch of points. That's why it's called "best".
Why does light have a maximum speed?
Answer:
well, that's a very good question.
It would seem that the speed of light is more: its the maximum speed which energy can travel through space. They used to believe light travels as waves through an invisible medium that fills space (like water waves travel through water). If this was true, then light being shot off the planet in the opposite direction to its spin should have appeared to travel faster than the light that was shot in the same direction of the earth's spin. Imagine you sat at the front of a speed boat doing 5mph, then made some waves, you can picture that those waves would not go away from you as fast as the waves you made when sitting at the back of the boat? This was not the case with light, and so there was no medium (or ether, as it was known)!
So why is the speed of light as it is? we don't know, but what we do know is there is a clever link somewhere, because if you do a nuclear reaction, conservation of energy and mess are tidily represented via E=MC^2, and guess what? C= the speed of light! In other words, if you do a nuclear reaction and you lose some mass, because it was changed into energy (this is what a nuclear reaction is), then you use this equation to work out how much energy has been made from the mass that has been lost.
What is it that travels through an electric circuit at nearly the speed of light?
the wave front of electric current. the electrons themselves move much slower but they keep pushing electrons ahead of them on resulting in a wavefront that moves at almost the speed of light.
How do you find particles maximum speed in a potential energy diagram?
To find a particle's maximum speed in a potential energy diagram, you need to locate the point in the diagram where the potential energy curve is at its lowest. The maximum speed of the particle at that point is determined by the total mechanical energy it possesses, which is the sum of its kinetic and potential energies. At the point where the potential energy is lowest, the kinetic energy is at its maximum, indicating the particle's maximum speed.
Explain the principles behind the reason why you see colors on soap bubbles?
This works through interference patterns. The wall of the soap bubble is very thin - on the order of the wavelength of the light. This makes the interference patterns noticeable. The interference is caused between the light that is reflected from the front part of the bubble wall, and from the light reflected from the back part of the bubble wall.
If velocity is constant then what is the true accelleration?
In a theoretical scenario with constant velocity, the true acceleration would typically be zero.
I'm sure you're aware that the vast majority of matter (aside from dark matter, which is unknown) is made up of very small particles called molecules. These molecules all have a bit of kinetic energy, making them move around (the measure of this kinetic energy is actually temperature).
In a situation in which diffusion occurs, for example, if 2 different gasses are introduced into a common environment by either joining the containers or releasing both containers into a third area, the gasses will move about the room in a more or less random manner (I'm sure you can visualize what would happen if someone threw a handfull of marbles across the room in an orbital platform of some kind...the behavior of gas will be much the same, but thrown in every direction simultaneously, at varying speeds...plus quantum effects, which are beyond me). As time goes on, the molecules, once clustered in near the exit of the bottle, will eventually become randomly spread out - diffused. The cause of this is the tendency for molecules to move about...vibration in solids or liquids, actual movement in gasses and dissolved substances. The cause of this movement requires a fairly deep understanding of particle physics.
Light bends when it passes near the gravitational field of a black hole due to the curvature of space-time caused by the intense gravity of the black hole. This effect is known as gravitational lensing, and it can cause light to follow a curved path around the black hole rather than a straight line.
When was the theory of relativity created?
The theory of relativity was introduced by Albert Einstein in 1905 with his special theory of relativity, and later expanded with the general theory of relativity in 1915.
Why a wind blowing past a building causes the window to be blown outward?
When wind blows past a building, it creates a pressure difference between the inside and outside of the building. This pressure difference results in the wind pushing against the windows from the outside, causing them to bulge outward. The force from the wind is greater than the force keeping the windows in place, hence they move outward.
No, the work done on the crate by the rope is not zero. The work done is equal to the force exerted by the rope multiplied by the distance the crate is pulled. The fact that the crate pulls back on the rope in accordance with Newton's Third Law does not cancel out the work done by the rope.
Very sneaky. Your particle is starting out at 2.67 times the speed of light, so
in order to do this whole thing, we must borrow some math from Dr. Einstein.
-- First of all, if your particle was ever at rest, what was its mass ? Call it M0 kgm.
We have no idea how it ever reached 2.67 times the speed of light, but however that happened, the particle's speed, before we begin to mess with it, is 8 x 108m/s .
The easiest way to approach this whole thing is to tunnel directly to the relativistic
momentum formula, without passing GO or any intermediate stages: Momentum = (rest mass)times(speed)/D kgm-m/sec ' D ' is the dimensionless factor that pops up everywhere in special relativity.
I call it ' D ' because it's so Difficult to type in a straight-text presentation.
' D ' is the square root of [1 minus (speed of the particle/speed of light)2].
Be that as it may, the mass of your particle at its initial speed ... speed1 ... is
M = M0/D1 . (That would be j 0.4045 M0 kgm, which is interesting, but we don't need it
just now.)
Its momentum is P1 = M1 x speed1 = M0/D1 x (speed1) (That would be j 323,615,934 M0kgm-m/sec , which is interesting, but we don't need
it just now.)
Notice that both the particle's mass and its momentum are imaginary. But that's OK.
This whole peculiar exercise is imaginary.
You want to double the momentum by changing the particle's speed.
Seems to me it needs to go down like this: P2 = 2 x P1
M2 x speed2 = 2 x (M1 x speed1)
M0/D2 x (speed2) = 2 x M0/D1 x (speed1) Happily, each side may be divided by M0. The particle's rest mass no longer appears, meaning that it has no effect on the answer.
From here, the rest is just a matter of excruciating algebra. The answer you want
is speed2 . It's right out there in the open on the left side of the equation, but the
square of it is also buried in a square root inside of D2 . The worst part about all of
this is that it's almost impossible to solve for speed2 while typing. So if you'll excuse
me for a few minutes, I'll do it on scratch paper, and I'll be back when I have it in a
form that I can just hand over to you.
===================
Well, I'm back. I worked it 3 times, and got the same answer the last 2 times,
so I'll propose that one as my solution.
The particle's speed must be reduced to 3.386 x 108 m/s , about 42% of its initial
speed, and now only about 13% faster than light, in order to double its momentum.
The mass and momentum both remain imaginary.
It all strikes me just as weird as it does you. But I'm confident that you won't need
this answer to enhance the progress of your research anytime soon, so I decided
that I've done my part, and I'm not to spend any more time on it.
Did any body solve many body problem in GTR?
The exact solution of the many-body problem in General Theory of Relativity (GTR) is highly complex and remains an open question. In practice, approximate methods and numerical simulations are used to study systems involving multiple bodies in the framework of GTR.
Why the particle is not moving toward negative x-direction?
The particle may not be moving towards the negative x-direction due to the presence of forces acting on it in the opposite direction, or because the initial velocity is in the positive x-direction. It could also be confined to move in a different direction due to external constraints or boundaries.
A block at the bottom of a pool does not appear to be at the bottom why?
This phenomenon is caused by refraction of light as it passes through the water and air interface. The bending of light as it changes medium makes the object appear higher or displaced from its actual position when viewed from above.
Yes. When you move past an observer, he will notice that your clock is running slow.
But you will also notice that his clock is running slow. I agree with you . . . it doesn't
make sense, and it can't be. Unfortunately, it is.
Why does a nail become hot when hammered into a piece of wood?
When a nail is hammered into wood, the force creates friction between the nail and the wood, generating heat due to the resistance. This heat is also caused by the energy from the impact and the compression of the wood fibers around the nail.
What does the man say in the Just video?
In the music video for Justin Timberlake's song "Just", the man speaks the lines: "It feels like something's heating up, can I leave with you?" The spoken lines add depth and emotion to the song and help create a sense of anticipation and excitement.
E=mc2 means energy=mass multiplied by the speed of light squared.
How do you find displacement from velocity and time?
Displacement can be found by multiplying the velocity by time. If the velocity is constant, displacement can also be calculated using the formula: displacement = velocity x time. Remember to include the direction of the velocity in your answer.
Intermediaries are used in business to help facilitate transactions between buyers and sellers, providing value through services like distribution, marketing, and financing. They serve as a bridge between producers and consumers, helping to reduce costs, improve efficiency, and expand market reach. Additionally, intermediaries often have specialized skills or resources that can benefit both parties in the transaction.
What is the difference between twin paradox and gravitational time dilation?
The twin paradox is a scenario in special relativity where one twin travels through space at high speeds and ages less than the other twin who stays on Earth. Gravitational time dilation, on the other hand, is the effect of gravity on the passage of time, causing time to run slower in stronger gravitational fields. The twin paradox is related to relative motion, while gravitational time dilation is related to differences in gravitational potential.
What is the symbol for the speed of light?
Normally its a lowercase c, as in E=m(c)2. Energy=mass times the speed of light squared.
As a freely falling object speeds up what is happening to its acceleration due to gravity?
Its acceleration due to gravity is constant. The acceleration is equal to the object's
change in speed every second.
I've tried to illustrate the constantly-increasing falling speed in my diagram below.
Who developed the equation e equals mc2?
The equation E=mc^2 was developed by physicist Albert Einstein in 1905 as part of his theory of special relativity. It describes the equivalence of energy (E) and mass (m) and the constant speed of light (c) in a vacuum.