Understanding Work and Energy Transfer: The Relationship and Implications

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Work is defined as the transfer of energy through the application of force over a distance, calculated as the product of force and distance. If no movement occurs, no work is done, leading to the question of energy output despite exertion. Scenarios illustrate that while a person may exert energy without moving an object, the work equation indicates zero output, raising questions about energy conservation. The discussion also touches on gravitational forces, noting that while they exert influence, they do not perform work in the traditional sense as defined by the equation. Ultimately, the conversation emphasizes the need for a deeper understanding of work, energy, and their interrelations in physical systems.
  • #31
Well, I put the vector to show that there is a direction of force. Not necessarily towards the right. I know it's not very useful. I was just trying to show you what I meant by:

urtalkinstupid said:
It is an input force that requires an energy to be existent
 
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  • #32
The Earth-Sun system exhibits only very small tidal forces as compared to the Earth-Moon system. Also, the Sun has a LOT more rotational inertia than does the Moon. Put those two together, and you can safely say that the Earth is not significantly slowing down the Sun's rotation, and is not significantly increasing in orbital radius.

If anything, the Earth is very slowly losing orbital velocity due to drag with the interplanetary medium and getting closer to the Sun. That's only a very slight effect, though.

- Warren
 
  • #33
urtalkinstupid said:
It is an input force that requires an energy to be existent
I still have no idea what this means, but it sounds very specious. At the very best you're misusing technical terms; at worst you're making another gravely errant leap of logic.

If I leave a book on my table, it exerts a constant force on the table all night long, and will continue to press on the table with the same force forever. It has no energy source though, and neither does the Earth.

If I put two books on the table, they actually attract each other, all the time. Even if you want to go crackpot and argue that somehow the Earth has an energy source that creates its gravity, you surely won't argue that the two books have such an energy source.

- Warren
 
  • #34
That's the point I'm trying to argue. Energy is created in order to keep that force constant. In order to make a force applicable, there is a needed input of energy.

As Chrono's said, there is the same problem with permanent magnets, except much greater, because they hang on a refrigerator door like mountain climbers hang on the side of a cliff.

This all ties into the Work equation.
 
  • #35
urtalkinstupid said:
Whoops, hehe. Last time I rely on google for calculations.

I agree that heat is a form of energy. If no work is done, there is no output energy going by the equation. It is obvious that there is energy that is output as you said in the form of heat. This is neglected going by the equation. If you are putting in a total of 4N, you should output equivalent to 4N regardless if you move the object or not. The work equation yields no output in any form of energy. The work equation is not valid for someone who does not move an object with input force.

You are correct that you have output 4N, but it has not gone into work as you say. However, you have referred to the 'work equation' as though the function on force through distance is a conservation equation, but it is not. The conservation equation you want is: E = q + w, so that the total energy into the system (E=4N) must be comprised of heat out of the system plus work energy to move the object. You have to be careful to define the boundary across which energy is transfered. If the person pushing the object will stay absolutely stationary then the boundary does not make any difference when you look at the work energy because you are rightly analyzing just the movement of the object being pushed. But for heat expenditure, the system must be defined as both you and the object since during the effort both will be generating heat, especially if no movement is achieved.
 
  • #36
chroot, doesn't the Earth have kinectic and potential energy as it revolves around the sun? would this mean that there is work being done? or, because there is conservation, no work gets done?
 
  • #37
Wouldn't that be:

E=\Delta q +W

The change in heat would be more reasonable. You take the final temperature and subtract from the initial, right? This gives the total amount of heat put into the system.
 
  • #38
urtalkinstupid said:
That's the point I'm trying to argue. Energy is created in order to keep that force constant. In order to make a force applicable, there is a needed input of energy.
Quite simply, no.
As Chrono's said, there is the same problem with permanent magnets, except much greater, because they hang on a refrigerator door like mountain climbers hang on the side of a cliff.
Both magnetism and gravity are conservative forces, which means they conserve energy. If they were not conservative, there would be serious consequences in the behavior of such systems in translations in time, which would pretty much rewrite physics from the ground up -- and it'd be entirely wrong. The conservation of energy and the concommitant invariance of physical laws to translations in time are perhaps the most fundamental properties of physics in this universe.
This all ties into the Work equation.
Which equation? W = \vec F \cdot \vec d? The one that you don't even understand?

- Warren
 
  • #39
urtalkinstupid said:
The change in heat would be more reasonable. You take the final temperature and subtract from the initial, right? This gives the total amount of heat put into the system.
Temperature and heat are not the same thing at all.

- Warren
 
  • #40
If it's any consolation, the sun will go red giant and vaporize the Earth long before have a chance to crash into it's cold, dead corpse. But what the heck, a creationist could have told you that.
 
  • #41
urtalkinstupid said:
Wouldn't that be:

E=\Delta q +W

The change in heat would be more reasonable. You take the final temperature and subtract from the initial, right? This gives the total amount of heat put into the system.

You make a good point. But in fact neither q nor w need to be thought of as a change. The heat in particular is just a quantity passing the boundary between the system and the surroundings. We sum the the heat and the work to get the quantity, E. This is certainly a delta if you want to think about absolute energy of the system, but there are problems with this and it is not necessary to reference the change from absolute energy content for most thermodynamic problems.
 
  • #42
Warren is correct. It's energy by heat and not temperature at all
 
  • #43
Yes, temperature is a measure of heat. Sorry for that. There is a required source of energy to exert work on an object. Energy is related to force. We've established that through a poorly derived equation. I'm sure a little more work we can get a nice relationship.

If a magnet is said to do no work, how is that possible? We know it requires a force to act against gravity to stay on the refrigerator, but no work is done, because it doesn't move anything. In examples ithat nvolved pushing stuff, the energy is transferred into heat, if nothing is moved. What is the case with the magnet?
 
  • #44
you seem to have a problem with work not being done unless movement is involved.

since that's how we DEFINE "work" maybe you'd better use a different term.
 
  • #45
JoeWade said:
since that's how we DEFINE "work" maybe you'd better use a different term.
It is not how we define work.

- Warren
 
  • #46
urtalkinstupid said:
There is a required source of energy to exert work on an object.
You've yet to substantiate this claim.
If a magnet is said to do no work, how is that possible? We know it requires a force to act against gravity to stay on the refrigerator, but no work is done, because it doesn't move anything. In examples ithat nvolved pushing stuff, the energy is transferred into heat, if nothing is moved. What is the case with the magnet?
Magnetism is a conservative force. A human's muscles pushing something do not constitute a conservative system.

- Warren
 
  • #47
chroot said:
It is not how we define work.

- Warren

come again? Force Distance, no?
 
  • #48
Work is defined differently in different contexts. In ideal gas mechanics, for example, it's W = p \Delta V.

- Warren
 
  • #49
well let's not get sidetracked. for the system at hand distance is the factor.

in an orbital system, the distance between the object and its satellite is what we're calculating with. in a perfect circular orbit, no work would ever be done. in an elliptical orbit work is done one way by the primary drawing the satellite closer and increasing its velocity, then the other way back to apex by the sattelite, using up the velocity to get back to where it started.

hence conservation of energy in the system.

no NET work
 
  • #50
Thanks JoeWade, that's already been said.

- Warren
 
  • #51
i said it using smaller words
 
  • #52
Beatrix
If the distance between them increases ( which I am told it does ) and their masses do not change , then their center of mass does not change but the force of gravity decreases ( between them ) , to balance this the common( and opposite) centifugal force must decrease which means both orbital velocities decrease wrt their center of mass. Since the mass of the Earth is much greater than the moon it's orbital velocity is much smaller but the percentage changes to each are the same and equal to half the percentage change of the distance.
 
  • #53
Here's what you're having trouble understanding:

The velocity never changes. The distance between the two objects never changes.

Now, notice that energy is NOT a vector. This means that a change in direction WILL NOT CHANGE ENERGY AT ALL. You can rotate the speed all you want, you have the same kinetic energy.

Now, you also need to understand that there are different 'types' of energy and they are calculated differently. For example, kinetic energy is calculated via the equation you've already given: d*F = Ek. However, potential gravity is another type of energy and has a different equation associated to it: d*F=Eg.

Oh wait! They're the same thing! or are they?
The distance in the kinetic energy is distance TRAVELLED. The distance in the potential gravity equation is the distance BETWEEN two objects.

Since (assuming circular orbit) the moon is not changing speed, its kinetic energy is unchanging, so we can calculate the potential gravity change:
Since the moon is the same distance from the Earth on both sides, and the same force is (generally) being exerted on it, potential gravity is conserved as well.

Now, since the orbit is actually elliptical, and potential gravity energy drops as the moon approaches earth, this energy needs to go somewhere. It ends up as kinetic energy, making the moon move faster as it approaches earth, and, therefore, moving slower as it recedes.


Understand?
 
  • #54
it's ok, tran.. my post was old...

Now, since the orbit is actually elliptical, and potential gravity energy drops as the moon approaches earth, this energy needs to go somewhere. It ends up as kinetic energy, making the moon move faster as it approaches earth, and, therefore, moving slower as it recedes.


Understand?

yeah.. that's why i didn't do a follow up post...

Now, notice that energy is NOT a vector. This means that a change in direction WILL NOT CHANGE ENERGY AT ALL. You can rotate the speed all you want, you have the same kinetic energy.

u really, REALLY don't have to tell me energy isn't a vector..
 
  • #55
beatrix kiddo said:
it's ok, tran.. my post was old...
yeah.. that's why i didn't do a follow up post...
u really, REALLY don't have to tell me energy isn't a vector..

I wasn't arguing specifically towards you, more along the lines of this:

urtalkinstupid said:
Yes, temperature is a measure of heat. Sorry for that. There is a required source of energy to exert work on an object. Energy is related to force. We've established that through a poorly derived equation. I'm sure a little more work we can get a nice relationship.

If a magnet is said to do no work, how is that possible? We know it requires a force to act against gravity to stay on the refrigerator, but no work is done, because it doesn't move anything. In examples ithat nvolved pushing stuff, the energy is transferred into heat, if nothing is moved. What is the case with the magnet?
Because electromagnetic forces are calculated in the same way gravity is, the same "different energy" argument applies. However, as was already stated, the force/work/energy/I'm really not sure, not my area from gravity is spread through the molecular bonds in the atoms that the magnet is 'latching' onto. (right?)
 
  • #56
Force is related to Energy, Force is related with work, so Energy and Work are related.

I was not saying energy was a vector that can be applied in a direction. The energy is spread out (scalar), while force is applicable in a direction vector). Are you trying to tell me that work is not scalar, so I can't relate Energy to it, because it contains a vector? I'm not getting it.
 
  • #57
Alkatran has it right, as does chroot. You don't need an energy supply if no work is being done. Force and energy are not the same thing. Energy is conserved, force is not.
 
  • #58
urtalkinstupid said:
Force is related to Energy, Force is related with work, so Energy and Work are related.

I was not saying energy was a vector that can be applied in a direction. The energy is spread out (scalar), while force is applicable in a direction vector). Are you trying to tell me that work is not scalar, so I can't relate Energy to it, because it contains a vector? I'm not getting it.

I'm not exactly sure how to explain this to you, because you have a history of misinterpreting explanations. But let's just say that whatever it is that gets rid of the vector part of a force is the multiplication by distance.

You can't add vectors to scalar quantities, so if work isn't scalar you can't add it to energy... and we do. So.. work is scalar.
 
  • #59
You can convert scalar to vector and vice versa.
 
Last edited:
  • #60
urtalkinstupid said:
You can convert scalar to vector and vice versa.

I will try to refrain from getting sucked into arguing against your flawed theories and the precious little math you use, but clearly do not understand, to support them.
 

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