
The law of conservation of energy, also known as the first law of thermodynamics, states that energy cannot be created or destroyed. In other words, the total amount of energy in the universe stays the same. This means that when energy is used, it changes from one form to another. For example, a car engine converts the chemical energy in gasoline into mechanical energy. While this law has been questioned and refined over time, it remains a fundamental principle in physics, guiding our understanding of the transformations and transfers of energy that occur all around us.
| Characteristics | Values |
|---|---|
| Law of Conservation of Energy | Energy is neither created nor destroyed. |
| The total amount of energy in the universe stays the same. | |
| Energy changes form. | |
| Energy can be transformed or transferred from one form to another. | |
| Energy efficiency is the amount of useful energy obtained from a system. | |
| Perpetual Motion Machine | A perpetual motion machine cannot exist. |
| Relativity | The conservation of energy can arguably be violated by general relativity on a cosmological scale. |
| Quantum Mechanics | Noether's theorem applies to the expected value, making any consistent conservation violation impossible. |
| Ancient Philosophers | Ancient philosophers, such as Thales of Miletus, had theories about the conservation of an underlying substance that comprised everything. |
| Mass-Energy Equivalence | Mass is a form of energy, with the amount of mass directly relating to the amount of energy. |
| Dark Energy | Scientists have discovered a new form of energy called dark energy, which is causing the universe to expand. |
| First Law of Thermodynamics | The energy of a closed system must remain constant. |
| Modern Cosmology | The conservation of energy in an expanding universe is a riddle, as the creation of more space should require additional energy. |
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What You'll Learn

Energy cannot be created or destroyed
The law of conservation of energy states that energy cannot be created or destroyed. This means that the total energy in a closed system remains constant; it can be transformed or transferred from one form to another, but the total amount of energy within the system can only change if energy enters or leaves the system. For example, a car engine burns gasoline, converting the chemical energy in gasoline into mechanical energy. The total amount of energy in the universe stays the same.
The concept of energy conservation has been explored by scientists and philosophers for centuries. As early as 550 BCE, ancient philosophers such as Thales of Miletus had theories about the conservation of an underlying substance that comprised everything. In the 17th century, Galileo and Christiaan Huygens made significant contributions to the understanding of energy conservation through their studies of motion and collision. By the 1690s, Leibniz was arguing for the conservation of vis viva (living force) and momentum, challenging the philosophical doctrine of interactionist dualism.
The law of conservation of energy, also known as the first law of thermodynamics, has important implications. It means that perpetual motion machines of the first kind cannot exist, as they would violate the law by delivering an unlimited amount of energy without an external energy supply. While the law of conservation of energy is fundamental, there are complexities and exceptions. For example, in modern quantum mechanics, individual conservation-violating events may be theoretically possible, but this is still subject to debate.
Furthermore, the expansion of the universe has posed new questions about energy conservation. Scientists have discovered the existence of dark energy, which is causing the universe to expand at an accelerating rate. This has led to discussions about the conservation of mass-energy and the role of gravitational potential energy in expanding spacetimes. While these developments have altered our understanding of energy conservation, the fundamental principle that energy cannot be created or destroyed remains a cornerstone of scientific understanding.
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Energy can change form
For example, a car engine converts the chemical energy in gasoline into mechanical energy. Similarly, solar photovoltaic cells convert radiant energy from the sun into electrical energy. In these processes, energy is transformed from one form to another, with some being converted into useful energy and some into unusable energy.
The concept of energy conservation was first explored by ancient philosophers such as Thales of Miletus, who believed in the conservation of some underlying substance that comprised everything. Later, in the 17th century, Galileo and Christiaan Huygens made significant contributions to the understanding of energy conservation. Galileo observed that a moving body's ascent on a frictionless surface is independent of the surface's shape, demonstrating the conversion of potential energy to kinetic energy. Huygens, meanwhile, identified the conservation of kinetic energy in collisions.
In the 1680s, Isaac Newton published his laws of motion, which focused on force and momentum. However, these laws were insufficient for understanding the motions of rigid and fluid bodies. It was later discovered that both momentum and kinetic energy could be conserved simultaneously under certain conditions, such as in an elastic collision.
The law of conservation of energy has been refined over time, with modern cosmology presenting new challenges. For instance, the discovery of dark energy, which is causing the universe's accelerated expansion, has led to questions about the conservation of energy in a closed system. Despite these complexities, the fundamental principle remains: energy can change form, but the total amount of energy in the universe is constant.
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Energy conservation
The law of conservation of energy states that energy cannot be created or destroyed. Instead, energy is transferred from one form to another, and the total amount of energy in the universe remains constant over time. This principle applies to isolated systems, where the total energy remains the same, and closed systems, where the total amount of energy can only change if energy enters or leaves the system.
This law has significant implications for various scientific disciplines. For example, in physics, the concept of energy conservation is fundamental to understanding the behaviour of different systems. It also plays a crucial role in engineering and technology, where efficient energy conversion and transfer are essential for designing machines and systems that can perform tasks effectively.
The history of the understanding of energy conservation dates back to ancient philosophers such as Thales of Miletus, who, around 550 BCE, proposed the idea of a conserved underlying substance that constitutes everything. While his theory centred on water as the fundamental substance, it laid the groundwork for future explorations of the concept.
In the 17th century, scientists such as Galileo, Christiaan Huygens, and Isaac Newton made significant contributions to the development of the law of energy conservation. Galileo's work with the "interrupted pendulum" demonstrated the conversion between potential and kinetic energy. Huygens' studies of collisions led to the identification of the conservation of kinetic energy and linear momentum. Meanwhile, Newton's laws of motion, published in his "Principia" in 1687, provided a framework for understanding force and momentum, although they fell short of fully explaining the motions of rigid and fluid bodies.
In the 18th century, the father-son duo Johann and Daniel Bernoulli further advanced the concept of energy conservation. Johann Bernoulli's work on virtual work in statics contributed to the understanding of the principle, while Daniel Bernoulli's research on the flow of water led him to formulate Bernoulli's principle, which describes the relationship between the loss of vis viva (living force) and changes in hydrodynamic pressure.
By the 20th century, Einstein's groundbreaking discovery of mass-energy equivalence revealed that mass and energy are interchangeable, with their amounts directly related, as described by the famous formula, E=mc^2. This finding further solidified the understanding that energy cannot be created or destroyed but only transformed between different forms.
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Perpetual motion machines are impossible
The law of conservation of energy states that energy is neither created nor destroyed; it can only be transformed or transferred from one form to another. For example, a car engine burns gasoline, converting the chemical energy in gasoline into mechanical energy.
A perpetual motion machine is a hypothetical machine that can do work indefinitely without an external energy source. This kind of machine is impossible because its existence would violate the first and/or second laws of thermodynamics. The first law of thermodynamics states that energy cannot be created or destroyed, only transformed from one form to another. This is the same principle as the law of conservation of energy. A perpetual motion machine would have to produce work without energy input, which is impossible.
The second law of thermodynamics states that an isolated system will move toward a state of disorder, and the more energy is transformed, the more of it is wasted. A perpetual motion machine would have to have energy that was never wasted and never moved toward a disordered state, which is also impossible.
In conclusion, perpetual motion machines are impossible because they violate the laws of thermodynamics and the law of conservation of energy. These laws are based on a solid mathematical foundation and have been well-tested experimentally. While it is true that there are some exceptions to these laws on a quantum or cosmological scale, perpetual motion machines as traditionally defined would still be impossible according to our current understanding of physics.
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The universe's total energy remains constant
The law of conservation of energy states that energy cannot be created or destroyed. In other words, the total amount of energy in the universe remains constant. This law, also known as the first law of thermodynamics, tells us that the energy of a closed system must remain constant. It can neither increase nor decrease without interference from outside. The universe itself is a closed system, so the total amount of energy has always been the same.
This concept was explored as early as the 17th century, when Galileo published his analysis of the "interrupted pendulum", demonstrating the conversion of potential energy to kinetic energy and vice versa. In the 1680s, Isaac Newton's work on force and momentum contributed to the understanding of energy conservation. By the 1690s, Leibniz was arguing for the conservation of vis viva (living force) and conservation of momentum, challenging the philosophical doctrine of interactionist dualism.
The law of conservation of energy has profound implications for our understanding of the universe. For instance, it tells us that a perpetual motion machine of the first kind cannot exist. It also means that energy efficiency is crucial, as a perfectly energy-efficient machine would convert all the energy it uses into useful work.
While the law of conservation of energy is fundamental, it is not without its complexities and challenges. Modern cosmology has presented new puzzles, such as the expansion of the universe, which seems to contradict the idea of a constant total energy. This is where theories like Einstein's general relativity come into play, showing that energy conservation is altered to conservation of mass-energy. Additionally, the concept of dark energy, which is thought to be causing the universe's accelerated expansion, adds another layer of complexity to our understanding of energy conservation on a universal scale.
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Frequently asked questions
The law of conservation of energy states that energy cannot be created or destroyed. Instead, energy from one form can be transformed or transferred into another form. For example, a car engine converts the chemical energy in gasoline into mechanical energy.
There are two basic forms of energy: potential and kinetic energy. Other forms include radiant energy, electrical energy, chemical energy, and mechanical energy.
The total amount of energy in an isolated system remains constant over time. In a closed system, the total amount of energy can only change if energy enters or leaves the system.
Early in the 20th century, Einstein discovered that mass and energy are equivalent. The amount of mass is directly related to the amount of energy, as described by the famous equation E=mc^2.











































