"the law of conservation of energy states that the total energy of an isolated system remains constant; it is said to be conserved over time."
The principle that the total energy of a closed system remains constant over time and cannot be created or destroyed.
Work: Work is defined as the product of force and displacement. It is a scalar quantity that measures the energy transferred when an object is moved.
Kinetic energy: Kinetic energy is the energy possessed by a moving object due to its motion. It is given by the formula 1/2mv^2, where m is the mass of the object and v is its velocity.
Potential energy: Potential energy is the energy possessed by an object due to its position or configuration. The two most common types of potential energy are gravitational potential energy and elastic potential energy.
Mechanical energy: Mechanical energy is the sum of an object's kinetic and potential energy.
Law of Conservation of Energy: The Law of Conservation of Energy states that energy cannot be created or destroyed, but can only be transferred or transformed from one form to another.
Conservative forces: Conservative forces are forces that do not dissipate energy as they are applied to an object. Examples of conservative forces include gravity, electrostatic forces, and elastic forces.
Non-conservative forces: Non-conservative forces are forces that dissipate energy as they are applied to an object. Examples of non-conservative forces include friction and air resistance.
Principle of Work and Energy: The Principle of Work and Energy states that the work done by all forces acting on an object is equal to the change in the object's kinetic energy.
Power: Power is the rate at which work is done or energy is transferred, and is given by the formula P = W/t, where P is power, W is work, and t is time.
Conservation of Mechanical Energy: The Conservation of Mechanical Energy principle states that the mechanical energy of an isolated system remains constant. This means that the sum of an object's kinetic and potential energy, as well as any work done on or by the system, must remain constant.
Elastic collisions: Elastic collisions are collisions in which the total kinetic energy of the system is conserved. In an elastic collision, the objects bounce off of each other with no loss of energy.
Inelastic collisions: Inelastic collisions are collisions in which the total kinetic energy of the system is not conserved. In an inelastic collision, some of the kinetic energy is converted to other forms of energy, such as heat or sound.
Conservation of Energy in Real-World Systems: The conservation of energy can be applied to real-world systems, such as a swinging pendulum or a roller coaster. In these systems, the Law of Conservation of Energy can be used to predict the behavior of the system and the amount of energy transferred between different forms.
Frictional Forces: Frictional forces are non-conservative forces that oppose the motion of an object. These forces cause some of the kinetic energy to be converted to heat, reducing the total amount of mechanical energy in the system.
Thermal Energy: Thermal energy is the energy associated with the temperature of an object. In real-world systems, some of the mechanical energy may be transferred to thermal energy due to friction or other non-conservative forces.
Mechanical energy conservation: This type of conservation of energy states that the sum of kinetic energy and potential energy of a system remains constant if no external work is done on it.
Thermal energy conservation: This type of conservation of energy states that the total thermal energy of a system is conserved if no heat is exchanged with the surroundings.
Chemical energy conservation: This type of conservation of energy states that the total amount of chemical energy in a system is conserved if there is no chemical reaction or exchange of matter with the surroundings.
Electrical energy conservation: This type of conservation of energy states that the total electrical energy of a system is conserved if there is no electrical work done on it or exchange of charge with the surroundings.
Nuclear energy conservation: This type of conservation of energy states that the total nuclear energy in a system is conserved if no nuclear reaction or exchange of matter is happening with the surroundings.
Elastic energy conservation: This type of conservation of energy states that the total elastic energy of a system is conserved if no deformations or stresses are applied to the system.
Gravitational energy conservation: This type of conservation of energy states that the total gravitational energy of a system is conserved if the system is not acted upon by any external gravitational force.
Magnetic energy conservation: This type of conservation of energy states that the total magnetic energy of a system is conserved if no magnetic work is done on it or magnetic field is not changed.
Radiant energy conservation: This type of conservation of energy states that the total radiant energy in a system is conserved if no radiation is absorbed or emitted by it.
Sound energy conservation: This type of conservation of energy states that the total sound energy of a system is conserved if no sound waves are absorbed or emitted by it.
"Energy can neither be created nor destroyed; rather, it can only be transformed or transferred from one form to another."
"For instance, chemical energy is converted to kinetic energy when a stick of dynamite explodes."
"If one adds up all forms of energy that were released in the explosion, such as the kinetic energy and potential energy of the pieces, as well as heat and sound, one will get the exact decrease of chemical energy in the combustion of the dynamite."
"special relativity shows that mass is related to energy and vice versa by E = mc^2, the equation representing mass–energy equivalence."
"science now takes the view that mass-energy as a whole is conserved."
"any object with mass can itself be converted to pure energy, and vice versa. However, this is believed to be possible only under the most extreme of physical conditions, such as likely existed in the universe very shortly after the Big Bang or when black holes emit Hawking radiation."
"Given the stationary-action principle, conservation of energy can be rigorously proven by Noether's theorem as a consequence of continuous time translation symmetry; that is, from the fact that the laws of physics do not change over time."
"A consequence of the law of conservation of energy is that a perpetual motion machine of the first kind cannot exist; that is to say, no system without an external energy supply can deliver an unlimited amount of energy to its surroundings."
"Depending on the definition of energy, conservation of energy can arguably be violated by general relativity on the cosmological scale." Please let me know if you would like more study questions.