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Potential energy

physical science Maturity 9-11 Next article →

Potential energy is the energy an object or system possesses due to its position relative to other objects. It can also arise from the specific configuration of its particles. This energy is equal to the work done against restoring forces. These forces might include gravity or the tension in a spring. In the International System of Units (SI), energy is measured in joules (J). Potential energy is closely linked to conservative forces. These are forces where the total work done depends only on the initial and final positions of the body. Because the work is path-independent, the energy is stored within a force field.

Springs 009
Springs 009

The mechanism of potential energy involves a clear sequence of cause and effect. First, an external force must perform work against a force field. This action moves an object to a new position or changes its shape. This work is stored in the force field as potential energy. Second, if the external force is removed, the force field acts on the body. The field performs work to move the body back toward its initial position. This process reduces the stored potential energy. As the object moves, the potential energy is transformed into other forms, such as kinetic energy.

Trebuchet
Trebuchet

Scientists categorize potential energy into several distinct types based on the forces involved. Gravitational potential energy is associated with the force of gravity. Elastic potential energy occurs when an object, like a spring, is deformed by tension or compression. Electric potential energy relates to the work of the Coulomb force between electric charges. There is also nuclear potential energy, which comes from the nuclear force acting on baryon charge. Chemical potential energy is stored in substances like fossil fuels. This energy results from the Coulomb force during the rearrangement of electrons and nuclei in atoms.

Plasma-lamp 2
Plasma-lamp 2

The history of this concept involves significant developments in the 19th century. Around 1840, scientists began searching for ways to define energy and work. In 1853, a Scottish engineer and physicist named William Rankine coined the term "potential energy." He developed this term as part of a pair involving "actual" versus "potential" energy. This terminology drew links back to the concepts of potentiality discussed by Aristotle. In 1867, Rankine described potential energy as the "energy of configuration." During that same year, William Thomson introduced the term "kinetic energy." He presented it as the opposite of potential energy. Eventually, the term "actual energy" faded from common scientific use.

Dynorwic
Dynorwic

Mathematical models allow us to calculate these energy levels with precision. For objects near Earth, gravitational potential energy depends on mass, gravity, and height. The formula uses the mass in kilograms and the local gravitational field, which is 9.8 metres per second squared on Earth. The height is measured in metres above a chosen reference level. For a linear spring, the elastic potential energy is calculated based on the spring's deformation. The work of a spring is proportional to the distance it is stretched or compressed. These calculations require choosing a reference state. This state is often chosen for convenience, such as a height of zero.

Longbowmen
Longbowmen

Many notable examples demonstrate these principles in action. A trebuchet is a machine that uses the gravitational potential energy of a counterweight. This energy allows the machine to throw projectiles over two hundred meters. In archery, a bow stores elastic potential energy when it is drawn. When the string is released, that energy becomes kinetic energy for the arrow. Even the solar system relies on these forces. Gravitational force keeps the planets in orbit around the Sun.

Solar sys
Solar sys

Potential energy is a fundamental concept that connects to many broader scientific fields. It is deeply tied to the study of vector fields and scalar potentials. In a conservative vector field, the force can be expressed as the gradient of a scalar potential. This mathematical relationship helps physicists understand how forces like electromagnetism and gravity behave. Understanding these configurations allows us to study everything from the movement of subatomic particles to the orbits of massive celestial bodies.

Gravitational potential summation 2
Gravitational potential summation 2
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File:Trebuchet.jpg
Trebuchet.jpg
File:Springs 009.jpg
Springs 009.jpg
File:Longbowmen.jpg
Longbowmen.jpg
File:Solar sys.jpg
Solar sys.jpg
File:Gravitational potential summation 2.png
Gravitational potential summation 2.png
File:Dynorwic.JPG
Dynorwic.JPG
File:Plasma-lamp 2.jpg
Plasma-lamp 2.jpg
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