**Energy** (from Latin *Energia* and Greek *Ενεργεια*) is a measure of the ability to do mechanical work.^{[1]} It is a fundamental concept pertaining to the ability for action. In physics, it is a quantity that every physical system possesses. This quantity is not absolute but relative to a state of the system known as its reference state or reference level. The energy of a physical system is defined as the amount of mechanical work that the system can produce if it changes its state to its reference state; for example if a litre of water cools down to 0°C or if a car hits a tree and decelerates from 120 km/h to 0 km/h.

## Types of energy Edit

Energy can be in several forms: mechanical potential—due to possible physical interactions with other objects (for example, gravitational potential energy); kinetic—contained in macroscopic motion; chemical—potential stored in chemical bonds between atoms; electrical—potential due to possible charge interactions; thermal—contained in the kinetic energy of individual molecules; nuclear energy—potential stored between constituents of atomic nucleus. Light can be viewed as energy in the form of photons or waves, depending on context. The theory of general relativity provides a framework to envision mass itself as an expression of energy.

## Conservation of energy Edit

One form of energy can be readily transformed into another; for instance, a battery converts chemical energy into electrical energy, which can be converted into thermal energy. Similarly, potential energy is converted into kinetic energy of moving water and turbine in a dam, which in turn transforms into electric energy by generator. The law of conservation of energy states that in a closed system the total amount of energy, corresponding to the sum of a system's constituent energy components, remains constant. This law follows from translational symmetry of time, which states the independence of any physical process on the moment it started. Some works, thus some forms of energy, are not easily measured by the unaided observer.

## Alternative uses of the term Edit

The term "energy" is also used in a spiritual or non-scientific way that cannot be quantified, to make certain propositions appear more plausible, by imitating the scientific terminology. Usually this has something to do with mystical and/or healing type references such as acupuncture and reiki. Psychical researchers will often speak of so-called "psychokinetic energy" when attempting to explain phenomena such as poltergeist activity; this is likewise non science [2].

## Forms of EnergyEdit

- Kinetic energy: the energy of moving objects
- Thermal energy: the energy associated with heat
- Sound energy: the energy of compression waves
- Electrical energy: the energy of moving charged particles

- Potential Energy: the energy that an object has due to position; also known as stored energy
- Chemical energy: the stored energy of chemical substances
- Nuclear energy: the stored energy of the atomic nucleus

- Radiant energy: the energy of electromagnetic waves, including light

## UnitsEdit

### SIEdit

The SI unit for both **energy** and work is the joule (J), named in honour of James Prescott Joule and his experiments on the mechanical equivalent of heat. In slightly more fundamental terms, 1 joule is equal to 1 newton-metre and, in terms of SI base units:

$ 1\ \mathrm{J} = 1\ \mathrm{kg} \left( \frac{\mathrm{m}}{\mathrm{s}} \right ) ^ 2 = 1\ \frac{\mathrm{kg} \cdot \mathrm{m}^2}{\mathrm{s}^2} $

An energy unit that is used in particle physics is the electronvolt (eV). One eV is equivalent to 1.60217653×10^{−19} J.

In spectroscopy the unit cm^{−1} = 0.0001239 eV is used to represent energy since energy is inversely proportional to wavelength from the equation $ E = h \nu = h c/\lambda $.

(Note that torque, which is typically expressed in newton-metres, has the same dimension and this is not a simple coincidence: a torque of 1 newton-metre applied on 1 radian requires exactly 1 newton-metre=joule of energy.)

### Other units of energyEdit

In cgs units, one erg is 1 g cm^{2} s^{−2}, equal to 1.0×10^{−7} J.

The imperial/US units for both energy and work include the foot-pound force (1.3558 J), the British thermal unit (Btu) which has various values in the region of 1055 J, and the horsepower-hour (2.6845 MJ).

The energy unit used for everyday electricity, particularly for utility bills, is the kilowatt-hour (kW h), and one kW h is equivalent to 3.6×10^{6} J (3600 kJ or 3.6 MJ; the metric units usually are self-consistent, and this particular one may seem arbitrary; it's not, the metric measurement for time is the second, and there are 3,600 seconds in an hour—in other words, 1 kW second = 1 kJ, but the kW h is a more convenient unit for everyday use).

The calorie is mainly used in nutrition and equals the amount of heat necessary to raise the temperature of one kilogram of water by 1 Celsius degree, at a pressure of 1 atm. This amount of heat depends somewhat on the initial temperature of the water, which results in various different units sharing the name of "calorie" but having slightly different energy values. It is equal to 4.1868 kJ.

The calories used for food energy in nutrition are the large calories based on the kilogram rather than the gram, often identified as *food calories*. These are sometimes called kilocalories with that calorie being the small calorie based on the gram, and as a result the prefixes are generally avoided for the large calories (i.e., 1 kcal is 4.184 kJ, never 4.184 MJ, even if "calories" are also used for the other, larger unit in the same document or the same nutrition label). Food calories are sometimes noted as *C*alories (1000 calories) or simply abbreviated Cal with the capital C, but that convention is more often found in chemistry or physics textbooks—which do not use these large calories—than it is in real-world applications by those who do use these calories. (This convention is also, of course, useless when the word calorie appears in a location where it would ordinarily be capitalized, as at the beginning of a sentence or in the first column of a nutrition label as a substitute for the quantity being measured, which is energy, when all the other quantities such as "Iron" and "Sugars" are also capitalized.)

## Transfer of energyEdit

### WorkEdit

main|Mechanical work

*Work* is a defined as a [path integral] of [force] F over distance s:

$ W = int \mathbf{F} \cdot \mathrm{d}\mathbf{s} $

The equation above says that the work ($ W $) is equal to the integral of the dot product of the force ($ \mathbf{F} $) on a body and the infinitesimal of the body's position ($ \mathbf{s} $).

### HeatEdit

main|Heat

*Heat* is the common name for thermal energy of an object that is due to the motion of the atoms and molecules that constitute the object. This motion can be translational (motion of molecules or atoms as a whole); vibrational (relative motion of atoms within molecules) or rotational (motion of the atoms of a molecule about a common centre). It is the form of energy which is usually linked with a change in temperature or in a change in phase of matter. In chemistry, heat is the amount of energy which is absorbed or released when atoms are rearranged between various molecules by a chemical reaction.
The relationship between heat and energy is similar to that between work and energy. Heat flows from areas of high temperature to areas of low temperature. All objects (matter) have a certain amount of internal energy that is related to the random motion of their atoms or molecules. This internal energy is directly proportional to the temperature of the object. When two bodies of different temperature come in to thermal contact, they will exchange internal energy until the temperature is equalised. The amount of energy transferred is the amount of heat exchanged. It is a common misconception to confuse heat with internal energy, but there is a difference: the change of the internal energy is the heat that flows from the surroundings into the system plus the work performed by the surroundings on the system. Heat Energy is transferred in three different ways: conduction, convection and/or radiation.

### Conservation of energyEdit

The first law of thermodynamics says that the total inflow of energy into a system must equal the total outflow of energy from the system, plus the change in the energy contained within the system. This law is used in all branches of physics, but frequently violated by quantum mechanics (see off shell). Noether's theorem relates the conservation of energy to the time invariance of physical laws.

An example of the conversion and conservation of energy is a pendulum. At its highest points the kinetic energy is zero and the potential gravitational energy is at its maximum. At its lowest point the kinetic energy is at its maximum and is equal to the decrease of potential energy. If one unrealistically assumes that there is no friction, the energy will be conserved and the pendulum will continue swinging forever. (In practice, available energy is **never** perfectly conserved when a system changes state; otherwise, the creation of perpetual motion machines would be possible.)

Another example is a chemical explosion in which potential chemical energy is converted to kinetic energy and heat in a very short time.

## Relations between different forms of energy Edit

All forms of energy: thermal, chemical, electrical, radiant, nuclear etc. can be in fact reduced to kinetic energy or potential energy. For example thermal energy is essentially kinetic energy of atoms and molecules; chemical energy can be visualized to be the potential energy of atoms within molecules; electrical energy can be visualized to be the potential and kinetic energy of electrons; similarly nuclear energy is the potential energy of nucleons in atomic nucleii.

### Kinetic energy Edit

*Main article: Kinetic energy*

Kinetic energy is the portion of energy related to motion.

- $ E_k = \int \mathbf{v} \cdot \mathrm{d}\mathbf{p} $

The equation above says that the kinetic energy ($ E_k $) is equal to the integral of the dot product of the velocity ($ \mathbf{v} $) of a body and the infinitesimal of the body's momentum ($ \mathbf{p} $).

For non-relativistic velocities, that is velocities much smaller than the speed of light, we can use the Newtonian approximation

- $ E_k = \begin{matrix} \frac{1}{2} \end{matrix} mv^2 $

where

*E*_{k} is kinetic energy

*m* is mass of the body

*v* is velocity of the body

At near-light velocities, we use the correct relativistic formula:

- $ E_k = m c^2 (\gamma - 1) = \gamma m c^2 - m c^2 \;\! $

- $ \gamma = \frac{1}{\sqrt{1 - (v/c)^2}} $

where

*v* is the velocity of the body

*m* is its rest mass

*c* is the speed of light in a vacuum, which is approximately 300,000 kilometers per second

$ \gamma m c^2 \, $ is the *total energy* of the body

$ m c^2 \, $ is again the rest mass energy.

See also, E=mc².

In the form of a Taylor series, the relativistic formula can be written as:

- $ E_k = \frac{1}{2} mv^2 - \frac{3}{8} \frac{mv^4} {c^2} + \cdots $

Hence, the second and higher terms in the series correspond with the "inaccuracy" of the Newtonian approximation for kinetic energy in relation to the relativistic formula.

However, the phrase "conservation of energy" is often confusing to a non scientist. This is so, because of the common usage of the terms "save energy" or conserve energy" used in campaigns for conservation of energy resources like electricity or fossil fuels.

### Potential energy Edit

*Main article: Potential energy*

In contrast to kinetic energy, which is the energy of a system due to its motion, or the internal motion of its particles, the potential energy of a system is the energy associated with the spatial configuration of its components and their interaction with each other. Any number of particles which exert forces on each other automatically constitute a system with potential energy. Such forces, for example, may arise from electrostatic interaction (see Coulomb's law), or gravity.

In an isolated system consisting of two stationary objects that exert a force $ f(x) $ on each other and lie on the x-axis, their potential energy is most generally defined as

- $ E_p = -\int f(x) \, dx $

where the force between the objects varies only with distance $ x $ and is integrated along the line connecting the two objects.

To further illustrate the relationship between force and potential energy, consider the same system of two objects situated along the x-axis. If the potential energy due to one of the objects at any point $ x $ is $ U(x) $, then the force on that object at $ x $ is

- $ f(x) = -\frac{dU(x)}{dx} $

This mathematical relationship demonstrates the direct connection between force and potential energy: the force between two objects is in the direction of decreasing potential energy, and the magnitude of the force is proportional to the extent to which potential energy decreases. A large force is associated with a large decrease in potential energy, while a small force is associated with a small decrease in potential energy. Notice how, in this case, the force on an object depends entirely on its potential energy.

These two relationships – the definition of potential energy based on force, and the dependence of force on potential energy – show how the concepts of force and potential energy are intimately linked: if two objects do not exert forces on each other, there is no potential energy between them. If two objects do exert forces on each other, then potential energy naturally arises in the system as part of the system's total energy. Since potential energy arises from forces, any change in the system's spatial configuration will either increase or decrease the system's potential energy as the objects are repositioned.

When a system moves to a lower potential energy state, energy is either released in some form or converted into another form of energy, such as kinetic energy. The potential energy can be "stored" as gravitational energy, elastic energy, chemical energy, rest mass energy or electrical energy, but arises in all cases from the spatial positioning and interaction of objects within a system. Unlike kinetic energy, which exists in any moving body, potential energy exists in any body which is interacting with another object.

For example a mass released above the Earth initially has potential energy resulting from the gravitational attraction of the Earth, which is transferred to kinetic energy as the gravitational force acts on the object and its potential energy is decreased as it falls.

Equation:

- $ E_p = mgh \; $

where *m* is the mass, *h* is the height and *g* is the value of acceleration due to gravity at the Earth's surface (see gee).

### Internal energyEdit

*Main article: Internal energy*

*Internal energy* is the kinetic energy associated with the motion of molecules, and the potential energy associated with the rotational, vibrational and electric energy of atoms within molecules. Internal energy, like energy, is a quantifiable state function of a system.

## HistoryEdit

In the past, energy was discussed in terms of easily observable effects it has on the properties of objects or changes in state of various systems. Basically, if something changed, some sort of energy was involved in that change. As it was realized that energy could be stored in objects, the concept of energy came to embrace the idea of the potential for change as well as change itself. Such effects (both potential and realized) come in many different forms; examples are the electrical energy stored in a battery, the chemical energy stored in a piece of food, the thermal energy of a water heater, or the kinetic energy of a moving train. To simply say energy is "change or the potential for change", however, misses many important examples of energy as it exists in the physical world.

The concept of energy and work are relatively new additions to the physicist’s toolbox. Neither Galileo [3] nor Newton made any contributions to the theoretical model of energy, and it was not until the middle of the 19th century that these concepts were introduced.

The development of steam engines required engineers to develop concepts and formulas that would allow them to describe the mechanical and thermal efficiencies of their systems. Engineers such as Sadi Carnot [4] and James Prescott Joule [5], mathematicians such as Émile Claperyon http://en.wikipedia.org/wiki/Émile_Claperyon and Hermann von Helmholtz [6], and amateurs such as Julius Robert von Mayer [7] all contributed to the notions that the ability to perform certain tasks, called work, was somehow related to the amount of energy in the system. The nature of energy was elusive, however, and it was argued for some years whether energy was a substance (the caloric) or merely a physical quantity, such as momentum.

William Thomson (Lord Kelvin) amalgamated all of these laws into his laws of thermodynamics, which aided in the rapid development of energetic descriptions of chemical processes by Rudolf Clausius, Josiah Willard Gibbs, Walther Nernst. In addition, this allowed Ludwig Boltzmann to describe entropy in mathematical terms, and to discuss, along with Jožef Stefan, the laws of radiant energy.

For further information, see the Timeline of thermodynamics, statistical mechanics, and random processes [8].

## Energy and EconomyEdit

The way in which humans use energy is one of the defining characteristics of an economy. The progression from animal power to steam power, then the internal combustion engine and electricity, are key elements in the development of modern civilization. Future energy development, for example of renewable energy, may be key to avoiding the effects of global warming.

## See alsoEdit

### Energy in natural sciences Edit

- Energy conversion
- Enthalpy
- Energy quality
- Exergy
- Power (physics)
- Specific orbital energy
- Solar radiation
- Thermodynamics
- Thermodynamic entropy

### Energy resourcesEdit

- List
- Embodied energy
- Emergy
- Crisis
- Development
- Policy
- Renewable
- Energy balance
- Management
- Storage
- Transmission
- EU Energy Label
- EU Intelligent Energy,
- Efficiency

## Further reading Edit

- Feynman, Richard.
*Six Easy Pieces: Essentials of Physics Explained by Its Most Brilliant Teacher*. Helix Book. See the chapter "conservation of energy" for Feynman's explanation of what energy is and how to think about it. - Einstein, Albert (1952).
*Relativity: The Special and the General Theory (Fifteenth Edition)*. ISBN 0-517-88441-0 - Alfred J. Lotka (1956).
*Elements of Mathematical Biology*, forerly published as 'Elements of Physical Biology', Dover, New York.

## Notes Edit

**^** This definition is one of the most common; e.g. Glossary at the NASA homepage

## External links Edit

- Energy Business Review
- What does energy really mean? From Physics World
- Glossary of Energy Terms
- International Energy Agency IEA - OECD
- 'Actual' (First-Law) Energy in Relation to Free Energy and Entropy

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