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The potential energy is useful, for example, in understanding the concavity of the water surface in a rotating bucket.
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potential and energy
If Af is the change per unit volume in Gibbs function caused by the shear field at constant P and T, and **yr is the density of the fluid, then the total potential energy of the system above the reference height is Af.
The total volume of the system above the reference height is Af, and H can be eliminated to obtain an equation for the total potential energy of the system in terms of H.
The minimum total potential energy is found by taking the derivative with respect to H and equating to zero.
This is interesting for it combines both the thermodynamic concept of a minimum Gibbs function for equilibrium and minimum mechanical potential energy for equilibrium.
If such is the case, the particles within a distance of about Af of the Earth will have, relative to the Earth, a kinetic energy less than their potential energy and they will be captured into orbits about the Earth.
Gamow solved a model potential for the nucleus and derived, from first principles, a relationship between the half-life of the decay, and the energy of the emission, which had been previously discovered empirically, and was known as the Geiger – Nuttall law.
This work is stored in the bow as elastic potential energy, and when the bowstring is released, this stored energy is imparted to the arrow much more quickly than can be delivered by the muscles, resulting in much higher velocity and, hence, greater distance.
This stretching gives the potential energy that will help maintain blood pressure during diastole, as during this time the aorta contracts passively.
* Ionization – depending on the ionization potential of the analyte atoms and the energy available in a particular flame, atoms might be in part converted to gaseous ions.
Phoenix uses its high altitude to gain gravitational potential energy, which is later converted into kinetic energy as the missile dives at high velocity towards its target.
As the ion will travel from the tip at voltage V < sub > 1 </ sub > to some nominal ground potential, the speed at which the ion is travelling can be estimated by the energy transferred into the ion during ( or near ) ionisation.
* In its simplest form, BCS gives the superconducting transition temperature in terms of the electron-phonon coupling potential and the Debye cutoff energy:
The DOE and its predecessor agencies were assigned by the U. S. Congress to develop new energy resources and technologies and to pursue a deeper understanding of potential health and environmental risks posed by their production and use.
The shape of the water's surface can be found in a different, very intuitive way using the interesting idea of the potential energy associated with the centrifugal force in the co-rotating frame.
In a reference frame uniformly rotating at angular rate Ω, the fictitious centrifugal force is conservative and has a potential energy of the form:
The meaning of the potential energy is that movement of a test body from a larger radius to a smaller radius involves doing work against the centrifugal force.
Notice that at equilibrium the surface adopts a shape such that an element of volume at any location on its surface has the same potential energy as at any other.
On the other hand, were surface regions with lower energy available, the water occupying surface locations of higher potential energy would move to occupy these positions of lower energy, inasmuch as there is no barrier to lateral movement in an ideal liquid.
The water surface is flat at first, and clearly a surface of equal potential energy because all points on the surface are at the same height in the gravitational field acting upon the water.
potential and is
In this respect experience is broader and full of a richer variety of potential meanings than the mind of man or any of his arts or culture are capable of making clear and distinct.
The discussion is therefore limited to a suggested procedure for realizing at least some of the potential importance of this volume for future policy.
The unofficial Conference of Parliamentarians is available as a potential legislative authority.
Underlying these hopes and prescriptions is a conviction that the nations of the North Atlantic area do indeed form a community, at least a potential community.
Our proper objective, then, is the development of a new spirit, the realization of a potential community.
The armed forces of Taiwan are at a working strength of about 450,000, though a reserve potential twice that high is contemplated.
It is obvious that this is a potential and lucrative source of revenue for the assessors of those towns where a substantial amount of such property would be subject to taxation.
When we consider the electronic industry potential for human betterment, the prospect is staggering.
Considering that the current school-age potential is 23 million youths, the project and its message on hunting and shooting education have many more to reach.
It is the exploitation of the inherent potential of infectious disease agents by scientific research and development, resulting in the production of BW weapons systems.
Within certain wide limits anatomy dictates function and, if one is permitted to speculate, potential pathology should be included in this statement as well.
and use of the foam for garment interlining is only now getting off the ground, with volume potential in the offing.
The luminous gain of a single stage with Af ( flux gain ) is, to a first approximation, given by the product of the photocathode sensitivity S ( amp / lumen ), the anode potential V ( volts ), and the phosphor conversion efficiency P ( lumen/watt ).
In this way, red wine warms of itself quite rapidly -- and though it is true that it may not attain its potential of taste and fragrance until after the middle of the meal ( or the course ), in the meantime it will have run the gamut of many beguiling and interesting stages.
To understand the past history -- and the future potential -- of American Catholic higher education, it is necessary to appreciate the special character of the esprit de corps of the religious community.
Yet adequate compensation -- and particularly merely adequate compensation is no substitute for those intangibles which cause a man to sacrifice part of his earning potential by taking up college teaching in the first place.
Then, if the middle number is activated to its greatest potential in terms of this square, through multiplying it by the highest number, 9 ( which is the square of the base number ), the result is 45 ; ;
potential and useful
The 20-to-1 ratio for cochannel interference embodies one of the fundamental limiting principles which we must always take into account in AM assignments and allocations -- that signals from a particular station are potential sources of objectionable interference over an area much greater than that within which they provide useful service.
Knowing the location of potential dangers, as well as being useful in estimating the effects of weather and tide in the anchorage, is essential in choosing a good place to drop the hook.
This definition of potential, while formal, has little practical application, and a more useful concept is that of electric potential difference, and is the energy required to move a unit charge between two specified points.
While this could be at infinity, a much more useful reference is the Earth itself, which is assumed to be at the same potential everywhere.
The electric field was formally defined as the force exerted per unit charge, but the concept of potential allows for a more useful and equivalent definition: the electric field is the local gradient of the electric potential.
In chemistry, it is often useful to have the molar equivalent, that is the energy that would be produced by one mole of charge () passing through a potential difference of one volt.
Neck sizing is only useful for cartridges to be re-fired in the same firearm, as the brass may be slightly oversized in some dimensions for other chambers, but the precise fit of case to chamber will allow greater consistency and therefore greater potential accuracy.
As an extension, he posits that the concept of different civilizations, as the highest rank of cultural identity, will become increasingly useful in analyzing the potential for conflict.
During World War I, European governments introduced border passport requirements for security reasons ( to keep out spies ) and to control the emigration of citizens with useful skills, retaining potential manpower.
Biotechnology is a burgeoning discipline, with the potential for many useful products and services.
Human-machine interaction by voice has the potential to be very useful in these environments.
It is theoretically impossible to make useful day-to-day predictions more than about two weeks ahead, imposing an upper limit to potential for improved prediction skill.
By Legendre-transforming this expression, he defined the concepts of enthalpy and " free energy " ( now universally known as the " Gibbs free energy "), a thermodynamic potential which is especially useful to chemists since it determines whether a reaction will proceed spontaneously at a fixed temperature and pressure.
One possible drawback of the mass driver is that it has the potential to send solid reaction mass travelling at dangerously high relative speeds into useful orbits and traffic lanes.
The ability to identify potential problems prior to a failure, that could have life-ending implications, is extremely useful.
As an extension, he posits that the concept of different civilizations, as the highest rank of cultural identity, will become increasingly useful in analyzing the potential for conflict.
An approach using reduced protein representation ( pseudo-atoms representing groups of atoms are defined ) and statistical potential are useful in protein structure prediction and modeling of the folding pathways.
This is especially useful in determining potential partners in cell signaling cascades.
Any profile would fit too many students to be useful and may not apply to a potential perpetrator.
They are interested in the potential use of folksonomy within museums and the requirements for post-processing of terms that have been gathered, both to test their utility and to deploy them in useful ways.
Vietnamese patriots realized the potential of Quốc Ngữ as a useful tool to quickly reduce illiteracy and to educate the masses.
This is useful where multipath or shadowing effects might otherwise lead to the potential for poor detection performance if only a single radar is used.
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