
The law of conservation of energy is a fundamental principle in physics that states that energy cannot be created or destroyed, only converted from one form to another. The idea of energy conservation has a long history, with ancient philosophers like Thales of Miletus proposing the existence of an underlying substance that comprises everything. However, the modern understanding of energy conservation began to take shape in the 17th century with the work of Isaac Newton and Gottfried Leibniz. In the 18th century, the concept of vis viva, or living force, emerged, and by the early 19th century, physicists and engineers sought to understand steam engines, leading to the development of the theory of energy conservation by scientists such as Julius Mayer, James Joule, and William Thomson.
| Characteristics | Values |
|---|---|
| First person to attempt a mathematical formulation of the law of conservation of energy | Gottfried Leibniz |
| Year of first mathematical formulation | Between 1676 and 1689 |
| First person to state the law of conservation of energy | Julius Mayer |
| Year the law of conservation of energy was stated | 1842 |
| First person to use the phrase "the law of the conservation of energy" | William Rankine |
| Year the phrase "the law of the conservation of energy" was first used | 1850 |
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What You'll Learn
- Ancient philosophers such as Thales of Miletus c. 550 BCE had inklings of the conservation of some underlying substance
- In 1638, Galileo published his analysis of the interrupted pendulum, which can be described as converting potential energy to kinetic energy
- Between 1676 and 1689, Gottfried Leibniz first mathematically formulated the idea of kinetic energy
- In 1844, William Robert Grove postulated a relationship between mechanics, heat, light, electricity, and magnetism
- In 1847, Hermann von Helmholtz published theories similar to Grove's, leading to the general modern acceptance of the principle

Ancient philosophers such as Thales of Miletus c. 550 BCE had inklings of the conservation of some underlying substance
The history of the law of conservation of energy can be traced back to ancient philosophers such as Thales of Miletus, who, around 550 BCE, speculated about the conservation of some underlying substance of which everything is made. Thales believed this substance to be water. Although there is no direct link between his theories and the modern concept of "mass-energy", his ideas laid the foundation for subsequent philosophical and scientific inquiries into the nature of matter and energy.
Another ancient philosopher who contributed to early ideas about the conservation of energy was Empedocles (490–430 BCE). He proposed a universal system composed of four roots: earth, air, water, and fire. According to Empedocles, nothing truly comes into existence or perishes; instead, these elements are constantly rearranged. This notion suggests a form of conservation, where the total amount of these fundamental substances remains unchanged, even if their configurations change.
Transitioning to the period of Greek philosophy, Simon Stevinus (1548–1620) introduced the principle that perpetual motion machines were impossible to create. This concept is closely tied to the understanding of non-conservative forces, which always act to remove mechanical energy from a system. Stevinus' work marked a shift from purely philosophical speculation to more quantitative and mechanical investigations into energy and its conservation.
In the 17th century, Gottfried Leibniz made significant contributions to the mathematical formulation of kinetic energy. Building on Huygens' work on collision, Leibniz recognized that in many mechanical systems, a quantity he termed "vis viva" or living force was conserved as long as the masses did not interact. This concept, however, did not account for friction, and physicists of that time, including Isaac Newton, favored the conservation of momentum, which holds even in the presence of friction.
The term energy was first used by Thomas Young in 1807, and the phrase "the law of the conservation of energy" was introduced by the Scottish mathematician William Rankine in 1850. By this time, scientists such as Antoine Lavoisier, Pierre-Simon Laplace, and Count Rumford had already contributed to the understanding of energy conversion, particularly the relationship between mechanical motion and heat generation.
In the 19th century, several key figures, including Julius Mayer, James Joule, Hermann von Helmholtz, and William Thomson (later Lord Kelvin), played pivotal roles in developing the concept of energy and its conservation. Mayer, in 1842, experimentally determined the mechanical equivalent of heat, while Joule's experiments from 1839 to 1850 sought to unify electrical, chemical, and thermal phenomena by demonstrating their interconvertibility. Helmholtz, building on the work of Joule and others, published his conclusions in 1847, leading to the general modern acceptance of the principle of energy conservation.
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In 1638, Galileo published his analysis of the interrupted pendulum, which can be described as converting potential energy to kinetic energy
Galileo Galilei, an Italian mathematician, physicist, and philosopher, made several contributions to the fields of science and philosophy. One of his notable works includes the analysis of the interrupted pendulum, which he published in 1638.
Galileo's interest in the behaviour of pendulums began early in his life. As a student, he observed a lamp swinging back and forth in Pisa Cathedral and noticed that the time it took to swing was independent of the amplitude. He termed this concept isochronism, writing about it in 1602. However, it was only towards the end of his life that he began experimenting with the idea of controlling a clock with a pendulum.
In 1638, Galileo published his analysis of the interrupted pendulum. This analysis can be described as converting potential energy to kinetic energy. The interrupted pendulum refers to a pendulum that is stopped at its lowest point and then released, or interrupted at its highest point. Galileo discovered that the bob (mass) of the pendulum always returns to its original height, regardless of the original height of release or the presence of an interrupting rod.
From a modern perspective, this phenomenon can be explained using the concept of energy conservation. The bob has gravitational potential energy (GPE) at its highest point, which is converted into kinetic energy (KE) as it moves downwards. As the bob rises again, the kinetic energy is converted back into gravitational potential energy. This transfer of energy allows the bob to return to its original height, as no energy is lost from the system in the absence of friction.
While Galileo's work laid the foundation for understanding the behaviour of pendulums, the concept of kinetic energy was not established until the mid-19th century, about 200 years after his death. Later physicists and mathematicians, such as Isaac Newton, further developed the ideas of momentum and energy conservation, building upon the groundwork laid by pioneers like Galileo.
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Between 1676 and 1689, Gottfried Leibniz first mathematically formulated the idea of kinetic energy
The law of conservation of energy is a fundamental principle in physics, and its history is fascinating. The ancient philosopher Thales of Miletus, around 550 BCE, had inklings of the conservation of some underlying substance that constitutes everything. However, the first person to mathematically formulate the concept of kinetic energy was Gottfried Leibniz, between 1676 and 1689.
Leibniz, a contemporary of Isaac Newton, built upon Huygens's work on collision and formulated the idea of kinetic energy, which he called "vis viva" or living force. He defined it as mv^2, and proved that vis viva was conserved in inelastic collisions. Leibniz's work on dynamics and kinetic energy began in 1676, and he returned to it at various times, notably in 1689 while he was in Rome.
Leibniz's formulation of kinetic energy was groundbreaking. Using Huygens's work, he noticed that in many mechanical systems, the quantity mv^2 was conserved as long as the masses did not interact. This quantity, vis viva, represented the accurate statement of the approximate conservation of kinetic energy in frictionless situations. Leibniz's ideas on kinetic energy and potential energy led him to develop a new theory of motion (dynamics), where he posited space as relative, contrasting with Newton's absolute view of space.
Leibniz's work during this period extended beyond his formulation of kinetic energy. He envisioned the field of combinatorial topology as early as 1679 and made significant contributions to statics and dynamics, often disagreeing with Descartes and Newton. In 1676, Leibniz also developed the concept of a "universal language of symbols and calculations," foreshadowing 20th-century developments in formal systems and computation.
While Leibniz first introduced the idea of kinetic energy, it evolved over time with contributions from other scientists. In the 18th and 19th centuries, the fate of lost kinetic energy was a mystery. Gradually, the concept of heat as a form of energy emerged, and in 1798, Count Rumford's observations of heat generation during cannon boring supported the idea that mechanical motion could be converted into heat. In 1807, Thomas Young first used the term "energy" to refer to vis viva. The modern acceptance of the principle of energy conservation stems from Hermann von Helmholtz's 1847 publication, which built on the earlier work of Joule, Sadi Carnot, and Émile Clapeyron.
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In 1844, William Robert Grove postulated a relationship between mechanics, heat, light, electricity, and magnetism
The law of conservation of energy has a long and complex history, with many scientists contributing to its development over the centuries. One notable figure in this story is William Robert Grove, a Welsh scientist who, in 1844, postulated a relationship between mechanics, heat, light, electricity, and magnetism.
Grove's groundbreaking idea was to treat these seemingly disparate phenomena as different manifestations of a single "force", which we now refer to as energy. This was a significant step forward in the understanding of energy and its conservation. Grove published his theories in 1846 in a book titled "The Correlation of Physical Forces".
However, Grove was not alone in his endeavours. Around the same time, several other key figures were also exploring the concept of energy and its conservation. This includes the German physicist Julius Mayer, who in 1842, became the first person to state the law of conservation of energy in a scientific paper. Mayer experimentally determined the mechanical equivalent of heat, although he did not understand the underlying kinetic theory.
Another important contributor was James Joule, an English brewer who, between 1839 and 1850, conducted a series of experiments to unify electrical, chemical, and thermal phenomena. He demonstrated their inter-convertibility and quantitative equivalence, publishing his findings as "On the Mechanical Equivalent of Heat". William Thomson (later Lord Kelvin) built on Joule's work, considering the problem of irreversible thermal processes.
The general modern acceptance of the principle of energy conservation, however, is often attributed to Hermann von Helmholtz. In 1847, drawing on the work of Joule, Sadi Carnot, and Émile Clapeyron, Helmholtz arrived at conclusions similar to Grove's and published his theories in the book "Über die Erhaltung der Kraft" (On the Conservation of Force). The Scottish mathematician William Rankine, in 1850, first used the phrase "the law of the conservation of energy".
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In 1847, Hermann von Helmholtz published theories similar to Grove's, leading to the general modern acceptance of the principle
The law of conservation of energy is a fundamental principle in physics, but it is a relatively modern concept in the history of the field. The idea that energy cannot be created or destroyed, only converted from one form to another, has been central to this understanding.
In the 17th century, Gottfried Leibniz made the first attempts to mathematically formulate kinetic energy. He noticed that in mechanical systems, energy was conserved so long as the masses did not interact. However, the term 'energy' had not yet been coined, and the concept of energy conservation was not fully developed.
In the 1840s, several key figures, including Hermann von Helmholtz, made significant contributions to the emerging theory of energy conservation. Helmholtz built on the work of Joule, Sadi Carnot, and Émile Clapeyron, and in 1847, he published his theories in the book "Über die Erhaltung der Kraft" ("On the Conservation of Force"). Helmholtz's work drew connections between mechanics, heat, light, electricity, and magnetism, treating them as different manifestations of a single force, or energy.
Helmholtz's publication led to the general modern acceptance of the principle of energy conservation. This work built upon earlier ideas and experiments, such as cannon-boring observations by Count Rumford in 1798, which suggested that mechanical motion could be converted into heat energy. The term 'energy' was first used in this context by Thomas Young in 1807.
The law of conservation of energy, also known as the First Law of Thermodynamics, states that in an isolated system, the total amount of energy remains constant. This law has practical applications, such as in engineering, where it is used to design machines that can convert energy into work.
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Frequently asked questions
The law of conservation of energy was first stated by German physicist Julius Mayer in an 1842 scientific paper.
Yes, several key people developed the concept of energy and its conservation in the 1840s, including Joule, Helmholtz, and Thomson.
Mayer experimentally determined the mechanical equivalent of heat from the heat evolved in the compression of a gas.
In 1844, Welsh scientist William Robert Grove postulated a relationship between mechanics, heat, light, electricity, and magnetism, treating them as manifestations of a single "force" (now known as energy).
Yes, Gottfried Leibniz first attempted a mathematical formulation of kinetic energy between 1676 and 1689.











































