harrylin
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Without scrutinizing your arguments in detail, I think that you nicely summarized it.cabraham said:[..] Did I help or confuse matters more?
Claude

Without scrutinizing your arguments in detail, I think that you nicely summarized it.cabraham said:[..] Did I help or confuse matters more?
Claude
harrylin said:After one turn the potential energy is identical - no change over one cycle. So, as Darwin already pointed out in post#30, it reduces to a disagreement about the meaning of words. In physics language the rope behind the tractor and the permanent magnet in the motor do no work - that has nothing to do with equations, just with definitions.
That is, the definition of work and many explanations of how to deal with it "is irrelevant to this topic"... Well then, good luck!
DaleSpam said:Oops, sorry, I missed the link. You are right, it does move fast. The energy transfer definition in the link is subtly different from the F.d definition I was using, so you are correct that we were using different definitions.
However, using that definition the lightandmatter link explicitly says that the rope does work on the plow: "When the tractor pulls the plow with a rope, the rope does negative work on the tractor and positive work on the plow." (emphasis added).
Also, the definition used there clearly applies to a rope: "Work is the amount of energy transferred into or out of a system, not counting energy transferred by heat conduction." The rope does transfer energy to the weight/plow/trailer. It doesn't produce any energy, but it transfers it from the tractor to the weight and not via heat conduction.
Woho! Now you see what I truly mean,harrylin said:Ah right I missed that - thus that link actually corresponds to your definition, so it appears that yours is the more commonly used. And using that definition the reply to the title question is obviously yes: fields/forces that move a wire do work on that wire.
cabraham said:I agree with that, but likewise the E field which tethers the stationary lattice protons to the mobile electrons merely transmits the force on the electrons from the magnetic field. Likewise SN force is also like the rope in that it transfers force to the neutrons. Both E & SN forces are akin to the rope in the tractor example.
Remember that the force integrated over the distance is the work done. The mag force must be strong enough to match the E force, plus the SN force, as well as move the electrons. But the mag field gives up energy as it transfers energy to produce torque & speed. The power source at the motor terminals replenishes this energy.
Is the mag force doing "work"? Well, in the short term, YES, in the long term NO. The power source, battery, ac mains wall outlet, etc., is doing all of the long term work. The mag force does move the rotor, but it only acts directly on electrons, but indirectly on protons & neutrons. The E & SN forces are internal tethers, like the rope in the tractor example. They are indispensable as they transmit force to protons & neutrons. The mag force is ineffective on proton & neutron.
Is the mag force doing work? Again, it stores energy then transfers it. It needs help from E & SN forces as well. Mag force participates but can't do it alone, nor long term. The power source is ultimately what does the work, not B field, not E field, not SN force. Did I help or confuse matters more?
Claude
Hmm, I found the classical part of the paper quite convincing. Especially the ring. Using the "transfers energy" definition of work, someone could say that the magnetic field does work because it transfers energy from rotational KE to translational KE, but that is quite a stretch since the system with the rotational KE is the same as the system with the translational KE.vanhees71 said:A nice paper about this question is the following one. The classical part of it precisely answers the question discussed here on hand of a simple example:
http://link.aps.org/doi/10.1103/PhysRevE.77.036609
DaleSpam said:Hmm, I found the classical part of the paper quite convincing. Especially the ring. Using the "transfers energy" definition of work, someone could say that the magnetic field does work because it transfers energy from rotational KE to translational KE, but that is quite a stretch since the system with the rotational KE is the same as the system with the translational KE.
DaleSpam said:I am not ready to make a conclusion at this time. I am not sure that my superconductor example is wrong, but I am not sure it was right now either. I had not considered any change to the internal energy of the superconductor.
Philip Wood said:vanhees71. There's no argument about the power equation is there? Of course it is right.
vanhees71 said:If there's no argument about this really fundamental equation, then what the heck is this debate about? This formula clearly shows that only the electric field "does work". Of course you can rewrite the current density in terms of the magnetic field and the displacement current, using the Ampere-Maxwell Law, but that doesn't mean that the magnetic field does work on the charges, which are clearly represented by the current density in the simple equation P=\int \mathrm{d}^3 \vec{x} \; \vec{E} \cdot \vec{j}.
vanhees71 said:The formula simply says that's solely the electric components of the electromagnetc fields which do work on charges. How else do you interpret this equation?
vanhees71 said:The formula simply says that's solely the electric components of the electromagnetc fields which do work on charges. How else do you interpret this equation?
chingel said:When talking about the simplified approach, the B field does not do work on any moving charged particle and the current carrying wire is just a bunch of moving charged particles and a permanent magnet is just a complicated system of moving electrons which can be modeled as an electromagnet. So the magnetic field cannot do any work on the electrons in the wire, it only changes the electrons paths. The electrons themselves do the work on the wire, using their kinetic energy. This means that the electrons get slowed down. The EM and nuclear and what not forces transfer the kinetic energy of the electrons to the wire.
Consider a bunch of electrons moving in the wire in the horizontal direction. A very strong magnetic field is applied briefly, all the electrons now move vertically. They move until they reach the end of the wire, which they cannot escape, EM forces hold them in the wire, in the process momentum is transferred and the wire starts moving. You can also consider the center of mass frame, electrons moving one way and the wire the other way and EM attraction brings them both to an halt, which leads to the usual interpretation that EM forces did the work of transferring kinetic energy and the energy source was whatever made the electrons move in the first place (battery etc).
Of course there are actually various quantum considerations to deal with with real electrons and other phenomena (how it works in a superconductor etc), which I won't pretend to understand, nor the link posted earlier. But I think it is still true that a magnetic field cannot do work on an isolated moving electron, which also has a lot of quantum weirdness (no exact position, jumps from here to there etc), however I cannot help you in trying to understand the more complicated scenarios that use quantum theory, and how relevant is the simplified approach in that light.
cabraham said:In a vacuum I'd agree with you. If an e- (electron) has a velocity & a mag field is present, then a Lorentz force acts on the e- in a direction normal to its present velocity, & normal to B. Thus a mag field can change an e- momentum value, but not its kinetic energy value. Hence a mag field does no work on a charge. Fair enough?
Now we have a current loop, 2 of them in fact. Mag field 1, or B1, exerts a force on the electrons in loop 2, normal to their velocity. In accordance with the above, B does not alter the e- energy value, only its momentum value, by changing the e- direction. But as these e- move in a new direction, the remaining lattice protons get yanked along due to E force tethering. But did the E actually do the work? The stationary lattice was moved acquiring non-zero KE (kinetic energy) when it started at zero KE.
Likewise, the neutrons got yanked along by strong nuclear force, which tethers the n0 (neutron) to the p+ (proton). A mag force in a direction normal to the loop deflects e- in a radial direction, resulting in p+ & n0 getting yanked radially. The force due to B accounts for all motion & work. But B cannot act on p+ as they are stationary, nor on n0 since the are charge-less. Did E do the work? E cannot act on n0 since they are charge-less. Did SNF do the work? SNF does not act on e-.
The work done by E appears to me a near zero. E exerts force no doubt, but when integrated with distance I compute zero. The E force between e- & p+ does move the p+, but the e-/p+ system energy is not changing. If an E force changed the distance between e- & p+, then E did work. Likewise for SN force.
I don't think we can say that "E did the work". If so, please draw E, & compute the distances over which E force acts. Explain your position, instead of just making bold proclamations. B is the prime mover, but would be powerless w/o E & SN forces.
When an electromagnet lifts a car a similar scenario takes place. The magnet applies force to the ferrous material in the car. But the tires, upholstery, etc., are non-ferrous. B does 0 work on these materials. But their weight plus the ferrous material weight is provided by B. B cannot lift tires, but applies enough force to the steel to lift the tires which are tethered to the steel by E & SN forces.
E & SN did no work, B did. But B cannot lift a pile of tires & upholstery. If I erred, please show me specifically. Don't waste our time with "E did the work, not B", w/o explaining the details. I await a detailed scientific reply. Best regards.
Claude
cabraham said:Ref bold, sorry but a current loop is MORE THAN just a bunch of moving charges. It has a fixed lattice structure, protons & neutrons tethered by E & SN forces. It is B that does the work. B exerts a force yanking on the e-, but due to E & SN force tethering the lattice structure, the whole wire is moved. All of the force must come from B. Although E & SN transferred force, they do no work. Every Newton of force coupled by E & SN are matched by B. The B force moves the current loop through some distance. The integral of the B force times the incremental distance is the work done.
If B isn't doing the work, what is? It cannot be E. First of all, E provides force but no distance. The integral of E over the distance is zero. E is the force between p+ & e-. Moving one or both of these particles by E force resulting in their separation being changed is required for E to do work. Also, E does no work on neutrons. The theory that "E does all the work" holds water like a net.
Again, you cannot treat a loop with current as a mere collection of individual charges. There is a lattice held together by E & SN forces. Let me ask you about the electromagnet raising a car from the previous post of mine. What lifts the car? A 1000 kg car is raised 1 meter resulting in work of 9,806 N-m. What did the work, B, E, or SN?
Only B makes sense. I know B cannot do work on free electrons, nor on stationary protons, nor on neutrons. But B can yank on a lattice as I've described above, over a distance resulting in work being done. We seem to have reached a point where one side has demonstrated their case in detail, & the other side is simply in denial while offering nothing but declarations w/o support.
E force cannot be what is doing the work. If it really is, then show me an illustration with the direction of the E vector, & the path of integration. Otherwise, you have nothing.
Claude
Thanks for posting that paper. I have gone over it quite a bit and found it very persuasive. Here is my current thought process:vanhees71 said:I do not need to copy the already cited very well written paper, where it has been demonstrated on simple examples that magnetic fields do no work as predicted by Maxwell electromagnetics.
vanhees71 said:I can only repeat that Maxwell's equations hold in a very large range of applicability. QED effects are negligible in everyday applications, and Maxwell's equations clearly say that the power (work per time) done on charge distributions by the electromagnetic field is given by
P=\int_{\mathbb{R}^3} \mathrm{d}^3 \vec{x} \; \vec{E}(t,\vec{x}) \cdot \vec{j}(t,\vec{x}).
Note that the current also contains the effects of magnetization through the corresponding part \vec{j}_{\text{mag}}=\vec{\nabla} \times \vec{M}.
I do not need to copy the already cited very well written paper, where it has been demonstrated on simple examples that magnetic fields do no work as predicted by Maxwell electromagnetics. It is also demonstrated that this picture also applies to the pure quantum phenomenon spin and the corresponding magnetic moment within semiclassical Dirac theory (semiclassical here means that the electron is treated as a quantum particle and the em. field as classical, an approximation valid for the nonrelativistic realm of the electron's motion, i.e., in atomic, molecular and solid-state physics for not too large charge numbers of the involved atomic nuclei). I take the freedom to cite this paper again, including the abstract, which already explains it very clearly:
PHYSICAL REVIEW E 77, 036609 (2008)
Dipole in a magnetic field, work, and quantum spin
Robert J. Deissler*
Physics Department, Cleveland State University, Cleveland, Ohio 44114, USA
͑Received 28 February 2007; published 21 March 2008
The behavior of an atom in a nonuniform magnetic field is analyzed, as well as the motion of a classical magnetic dipole ͑a spinning charged ball and a rotating charged ring. For the atom it is shown that, while the magnetic field does no work on the electron-orbital contribution to the magnetic moment ͑the source of translational kinetic energy being the internal energy of the atom, whether or not it does work on the electron-spin contribution to the magnetic moment depends on whether the electron has an intrinsic rotational kinetic energy associated with its spin. A rotational kinetic energy for the electron is shown to be consistent with the Dirac equation. If the electron does have a rotational kinetic energy, the acceleration of a silver atom in a Stern-Gerlach experiment or the emission of a photon from an electron spin flip can be explained without requiring the magnetic field to do work. For a constant magnetic field gradient along the z axis, it is found that the classical objects oscillate in simple harmonic motion along the z axis, the total kinetic energy—translational plus rotational—being a constant of the motion. For the charged ball, the change in rotational kinetic energy is associated only with a change in the precession frequency, the rotation rate about the figure axis remaining constant.
DOI: 10.1103/PhysRevE.77.036609
DaleSpam said:However, the one thing that makes me hesitate to adopt this principle wholeheartedly is that it is not always clear what internal energy is being used. For example, consider a permanent magnet being accelerated in an external magnetic field. What is the internal energy that is being used in the permanent magnet? Any ideas?
So you think that the acceleration actually reduces the atomic currents? Is there any study that would support that. I mean, it makes sense for the big picture, but I don't see how the atomic level currents can be reduced without causing problems or at least changes in the atoms.vanhees71 said:Now, the permanent magnet is accelerated by the external magnetic field and according to Faraday's Law this induces an electric field which in turn leads to a current counteracting the change (Lenz's Rule).
I am not sure that works. Suppose that the magnet is in a region of non-uniform magnetic field, and therefore accelerates, gaining KE. During the acceleration the magnet sees a changing B field and therefore there is an induced current, which acts to reduce the magnet's own field and therefore the magnet's internal energy. So far so good.vanhees71 said:The induced current is a usual conduction current (caused by the conduction electron's motion in your metal permanent magnet). There's nothing exotic in this.
Miyz said:BRAVO! :!) BRAAAVO!
The best answer so far the SHUTS every thing down! I totally agree again and again with Claude! Well said there sir!
Common sense everyone: Bring a loop connect it to a battery = nothing, Bring a magnet = MOTION!
Also! magnetic force on the wire = IL x B!
Magnets do work on this system and its all because of the INPUT POWER(battery etc...)
Again if you do say that magnets do no work please bring something NEW to the table! To support you're claim!
Thanks again everyone for you're efforts! Good discussion!
Born2bwire said:I don't like to participate in this kind of discussion anymore but I would point out that this isn't a case of just a magnetic field. One thing to note here is that if we have two stationary wires, then in the lab frame where the wires are stationary we only have magnetic fields and currents. So in this snapshot it would appear that if the wires move away or together that the magnetic field is doing the work. However, we are looking at a static picture where we only have forces. The work is done over the dynamic picture of the wires actually moving. Once the wires begin to move, then we invariably have an acceleration of the charges that make up the currents and therefore have an electromagnetic field. So over the displacement of the wires over which the work is done, there exists electric and magnetic fields.
Another thing to consider is that in the situation where the wires are held stationary and we only have magnetic forces, from the rest frame of the charges in the wires there only exists an electric field. This is a common problem that is worked in texts like Griffiths. So from the electron's point of view, it only sees an electric field and not the magnetic field. In that case why not conclude that it is still the electric field that does all the work?
So the take away point that I would make is that with the wires, we need to keep in mind that it isn't an electric or magnetic field but an electromagnetic field. You can't conclude that the magnetic fields do the work from the face of it.
Ok, then there is no more magnetic force, and the magnet stays moving with a constant velocity (at least after some transition time, when all the dynamics of the currents and fields are damped). In the rest frame of the magnet, its magnetization and magnetic field is then that of the magnet at rest and its electric field is 0. What's left in the original reference frame is the static electric and magnetic field you get by a Lorentz boost with the appropriate velocity of this situation in the rest frame.DaleSpam said:However, then suppose the magnet transitions to a region with a uniform field. At this point there is no more flux and therefore no more induced current. The magnet's internal field is no longer partially canceled so its internal energy returns to normal, but it still has KE.
Yes, that is correct too. So not only does some unknown (to me) energy store inside the permanent magnet need to compensate for the increased KE, it also needs to compensate for the increased energy of the permanent magnet's E and B fields.vanhees71 said:What's left in the original reference frame is the static electric and magnetic field you get by a Lorentz boost with the appropriate velocity of this situation in the rest frame.
"Not 1 naysayer has addressed the motor operation question." THANK YOU!cabraham said:1st bold: No. Charges do indeed move when wires move, but net charge motion is 0. Acceleration of charges refers to charges acquiring KE. When an entire wire moves, the e- as well as stationary p+ move. I don't think this motion of equal & opposite charges can be treated the same as "conduction current".
2nd bold: "From the electron's point of view ---". We understand that when we view a motor spinning, we are viewing it from our static reference frame. We have already conceded that a free e- in conduction cannot have work done upon it by a B force, only an E force. You keep rehashing isolated particle physics & emphasize facts I've already conceded to. Nobody is disputing that. Also, the electron sees a static E field from the other loop's stationary lattice protons. But it sees a B field due to the other loop's electrons in motion. The electrons moving in the other loop undergo a Lorentz-Fitzgerald contraction, so that mere E force is not adequate to explain the force here.
3rd bold: "we need to keep in mind that it isn't an electric or magnetic field but an electromagnetic field". What on Earth is an "electromagnetic field"? Please enlighten me. There are magnetic quantities B & H, electric quantities E & D. Just how do you describe this "electromagnetic field"? Please enlighten me.
So far the naysayers have produced nothing. They talk a big game about Einstein, reference frames, etc., but cannot show me the fields working in a simple induction motor. Show me, please, how it is E force, & not B force that spins the rotor. So far all I get is people blowing smoke. Not 1 naysayer has addressed the motor operation question.
In a motor, we are not simply moving electrons from valence to conduction. We are exerting forces on wire loops resulting in torque & work being done. Making a loop spin involves more than conduction current. A B force acting on free electrons in a loop producing torque is more involved than simply inducing a loop current. The B force yanks on the e-, but the p+ & n0 get tethered as well. These e-, p+, & n0, all moving together in unison constitute zero current. Of course the current in the rotor loop is non-zero. There is more than 1 thing going on here.
Claude
The electromagnetic field is usually described using tensors. The Wikipedia page on the topic is actually quite good:cabraham said:3rd bold: "we need to keep in mind that it isn't an electric or magnetic field but an electromagnetic field". What on Earth is an "electromagnetic field"? Please enlighten me. There are magnetic quantities B & H, electric quantities E & D. Just how do you describe this "electromagnetic field"? Please enlighten me.
DaleSpam said:The electromagnetic field is usually described using tensors. The Wikipedia page on the topic is actually quite good:
http://en.wikipedia.org/wiki/Covariant_formulation_of_classical_electromagnetism
With this formulation the separation of the EM field tensor into an E field and a B field is seen as a simple artifact of the coordinate system chosen. Since the choice of coordinate system is arbitrary, so is the distinction between E and B.
Regarding naysayers, I haven't yet made up my mind. I came into the thread quite convinced that magnetic fields do work, but I am no longer so certain after having read the paper referenced above. Did you read it? If so, did you find any specific errors?
However, the reason that I used a superconducting loop in my example rather than a motor is the obvious weakness of the motor argument: specifically, the motor has a large amount of E field energy going into the system on the wires. I wanted a "cleaner" system where the only possible work was done by the B field, which is not the case with a motor.
Yes, I still haven't made a conclusion, so I cannot answer. I was only pointing out what I feel is an obvious weakness of the motor example in deciding the answer to the question either way.cabraham said:You avoided the question.
Work and energy also depend on the arbitrary choice of coordinate system.cabraham said:If E & B has arbitrary distinction, how can you claim that E does work, B does not?
DaleSpam said:Yes, I still haven't made a conclusion, so I cannot answer. I was only pointing out what I feel is an obvious weakness of the motor example in deciding the answer to the question either way.
DaleSpam said:Work and energy also depend on the arbitrary choice of coordinate system.
Not until I have gotten to the point that I can analyze a simpler system and make up my mind on the general question based on that analysis. Once I can analyze a simpler system where there is only B then I can attempt systems with E and B.cabraham said:Please refer to the coordinate system of a stationary observer watching the motor spin. What force is doing the work?
DaleSpam said:Not until I have gotten to the point that I can analyze a simpler system and make up my mind on the general question based on that analysis. Once I can analyze a simpler system where there is only B then I can attempt systems with E and B.
Btw, did you read the paper? What did you think?
Sorry, I missed that, I must not have read as carefully as I had thought. Where was that?cabraham said:It does state that under specific conditions, that mag force can do work.
No, at least I probably won't do any such analysis unless it seems likely to simplify things. I was merely responding to your question about what was meant by the term "EM field", you seemed unaware of what was being referred to and that the distinction between E and B depends on the choice of reference frame. But I am not recommending a full-blown covariant analysis from multiple reference frames, etc. I am having a hard enough time thinking it through in a single frame.cabraham said:Do we really need to examine the OP question from the viewpoint of reference frame other than a stationary observer watching the motor spin? We seem to have gone off on a tangent.
DaleSpam said:Sorry, I missed that, I must not have read as carefully as I had thought. Where was that?
No, at least I probably won't do any such analysis unless it seems likely to simplify things. I was merely responding to your question about what was meant by the term "EM field", you seemed unaware of what was being referred to and that the distinction between E and B depends on the choice of reference frame. But I am not recommending a full-blown covariant analysis from multiple reference frames, etc. I am having a hard enough time thinking it through in a single frame.
Khashishi said:A sailboat is in a lake with the wind parallel to the sail. It doesn't accelerate. Now a person pulls the sail at an angle to the wind. This causes the sail to deflect the wind and the boat starts to move. In this case, the wind does work on the boat. The person requires force to move the sail, but he isn't doing any work to move the boat.
A wire in a magnetic field is like the boat. The electric current acts like the wind. But the electrons move parallel to the wire so there's no work on the wire. Applying the magnetic field deflects the electrons into the side of the wire, causing the wire to move. It is the motion of the electrons which does work on the wire, not the magnetic field. The electrons slow down when they ricochet off the side of the wire and push the wire. The magnetic field is exerting a force on the electrons, but not doing work.
Khashishi said:A sailboat is in a lake with the wind parallel to the sail. It doesn't accelerate. Now a person pulls the sail at an angle to the wind. This causes the sail to deflect the wind and the boat starts to move. In this case, the wind does work on the boat. The person requires force to move the sail, but he isn't doing any work to move the boat.
A wire in a magnetic field is like the boat. The electric current acts like the wind. But the electrons move parallel to the wire so there's no work on the wire. Applying the magnetic field deflects the electrons into the side of the wire, causing the wire to move. It is the motion of the electrons which does work on the wire, not the magnetic field. The electrons slow down when they ricochet off the side of the wire and push the wire. The magnetic field is exerting a force on the electrons, but not doing work.
Definition of work: a transfer of energy other than through heat.Miyz said:The e- to move and due to its strong nuclear force it moves the p+ and n0 ... the remaining lattice protons get yanked along due to E force tethering. ...
Likewise, the neutrons got yanked along by strong nuclear force, which tethers the n0 (neutron) to the p+ (proton).
vanhees71 said:Again I must stress, I don't understand your insistance on a statement which contradicts very basic calculations within the system of Maxwell's equations. You find this in any serious textbook of classical electromagnetics under the name "Poynting's Theorem".
I can only repeat that this no-brainer gives the clear answer that the electric components of the electromagnetic field do the work on any distribution of matter
P=\int \mathrm{d}^3 \vec{x} \vec{E} \cdot \vec{j}.
The current density \vec{j} has to be understood as containing both the flowing charges \vec{j}_{\text{charges}}=\rho \vec{v} and the equivalent current for any kind of magnetization (through ring currents or through generic magnetic moments of elementary particles associated with their spin, which is a semiclassical picture of a quantum phenomenon), \vec{j}_{\text{mag}}=c \vec{\nabla} \times \vec{M}.
As in all my postings I use Heaviside-Lorentz units (rationalized Gaussian units).
"In physics, mechanical work is a scalar quantity that can be described as the product of a force and the distance through which it acts in the direction of the force.""If a constant force of magnitude F acts on a point that moves a distance d in the direction of the force, then the work W done by this force is calculated as: W= Fd"DaleSpam said:Definition of work: a transfer of energy other than through heat.
Unfortunately, there is a lot of ambiguity in the jargon of physics. Units alone do not completely specify the important units alone. For instance, "potential difference" and "electromotive force" are completely different concepts, even though both have units of volts. Sometimes, "heat" means "energy" and sometime "heat" means entropy. Although these two definitions of "heat" have different units, they sometimes flow together. Sometimes they don't flow together.Miyz said:"In physics, mechanical work is a scalar quantity that can be described as the product of a force and the distance through which it acts in the direction of the force."
"If a constant force of magnitude F acts on a point that moves a distance d in the direction of the force, then the work W done by this force is calculated as: W= Fd"
http://en.wikipedia.org/wiki/Work_(physics)
I do know that work is the transfer of energy. However, in our case what would you like to envision? Forces, not energy.(I personally don't and can't imagine the kinds of energy I just break it down to work then the forces involved in the system to have a better idea of what's going on.)
Eventually we know energy has been transferred from point A to B, or conserved as heat.
The concept of thermodynamic work (the definition I cited) is a generalization of the concept of mechanical work (the definition you cited). The thermodynamic definition is the one that is typically used for fields, since it can be applied in situations where the mechanical definition is hard or impossible to use.Miyz said:"In physics, mechanical work is a scalar quantity that can be described as the product of a force and the distance through which it acts in the direction of the force."