Examples of law of conservation of energy in the following topics:

 The first law of thermodynamics is a version of the law of conservation of energy specialized for thermodynamic systems.
 The law of conservation of energy can be stated like this: The energy of an isolated system is constant.
 If we are interested in how heat transfer is converted into work, then the conservation of energy principle is important.
 The first law of thermodynamics applies the conservation of energy principle to systems where heat transfer and doing work are the methods of transferring energy into and out of the system .
 The first law of thermodynamics is the conservationofenergy principle stated for a system where heat and work are the methods of transferring energy for a system in thermal equilibrium.

 To solve a conservation of energy problem determine the system of interest, apply law of conservation of energy, and solve for the unknown.
 ) for the forces that enter into the problem, then forces are all conservative, and you can apply conservation of mechanical energy simply in terms of potential and kinetic energy.
 If you know the potential energy for only some of the forces, then the conservation of energy law in its most general form must be used:
 stand for all other energies, and $OE$ stands for work done by nonconservative forces.
 Once you have solved a problem, reexamine the forms of work and energy to see if you have set up the conservation of energy equation correctly.

 Mechanical work done by an external force to produce motional EMF is converted to heat energy; energy is conserved in the process.
 We learned in the Atom "Faraday's Law of Induction and Lenz' Law" that Lenz' law is a manifestation of the conservation of energy.
 As we see in the example in this Atom, Lenz' law guarantees that the motion of the rod is opposed because of nature's tendency to oppose a change in magnetic field.
 (b) Lenz's law gives the directions of the induced field and current, and the polarity of the induced emf.
 Apply the law of conservation of energy to describe the production motional electromotive force with mechanical work

 Essentially, it is a surface phenomenon—mainly in governance to the law of conservation of energy and momentum.
 Refraction is described by Snell's law, which states that for a given pair of media and a wave with a single frequency, the ratio of the sines of the angle of incidence θ1 and angle of refraction θ2 is equivalent to the ratio of phase velocities (v1/v2) in the two media, or equivalently, to the opposite ratio of the indices of refraction (n2/n1):
 Understanding of refraction led to the invention of lenses and the refracting telescope.
 Air has a refractive index of about 1.0003, and water has a refractive index of about 1.33.
 Formulate the law of conservation of energy and momentum as it is applied to the refraction

 In physics and chemistry there are many conservation laws—among them, the Law of Conservation of Nucleon Number, which states that the total number of nucleons (nuclear particles, specifically protons and neutrons) cannot change by any nuclear reaction.
 Chain reactions of nuclear fission release a tremendous amount of energy, but follow the Law of Conservation of Nucleon Number.
 Finally, nuclear fusion follows the Law of Conservation of Nucleon Number.
 It is well understood that the tremendous amounts of energy released by nuclear fission and fusion can be attributed to the conversion of mass to energy.
 Describe the process of conversion of matter to energy during the nuclear fusion and fission

 The law of conservation of angular momentum states that when no external torque acts on an object, no change of angular momentum will occur.
 This is an expression for the law of conservation of angular momentum.
 An example of conservation of angular momentum is seen in an ice skater executing a spin, as shown in .
 Conservation of angular momentum is one of the key conservation laws in physics, along with the conservation laws for energy and (linear) momentum.
 The work she does to pull in her arms results in an increase in rotational kinetic energy.

 Kirchhoff's loop rule states that the sum of the emf values in any closed loop is equal to the sum of the potential drops in that loop.
 Kirchhoff's loop rule (otherwise known as Kirchhoff's voltage law (KVL), Kirchhoff's mesh rule, Kirchhoff's second law, or Kirchhoff's second rule) is a rule pertaining to circuits, and is based on the principle of conservation of energy.
 Conservation of energy—the principle that energy is neither created nor destroyed—is a ubiquitous principle across many studies in physics, including circuits.
 Given that voltage is a measurement of energy per unit charge, Kirchhoff's loop rule is based on the law of conservation of energy, which states: the total energy gained per unit charge must equal the amount of energy lost per unit of charge.
 Kirchhoff's loop rule is a simplification of Faraday's law of induction, and holds under the assumption that there is no fluctuating magnetic field linking the closed loop.

 The electric potential at a point is the quotient of the potential energy of any charged particle at that location divided by the charge of that particle.
 Thus, the electric potential is a measure of energy per unit charge.
 They share a common factor of inverse Coulombs (C1), while force and energy only differ by a factor of distance (energy is the product of force times distance).
 Given that ∆P=W (change in the energy of a charge equals work done on that charge), an application of the law of conservation of energy, we can replace ∆P and W with other terms.
 ∆P can be substituted for its definition as the product of charge (q) and the differential of potential (dV).

 Conservation of mechanical energy states that the mechanical energy of an isolated system remains constant without friction.
 Conservation of mechanical energy states that the mechanical energy of an isolated system remains constant in time, as long as the system is free of all frictional forces.
 This equation is a form of the workenergy theorem for conservative forces; it is known as the conservation of mechanical energy principle.
 Remember that the law applies to the extent that all the forces are conservative, so that friction is negligible.
 Express the principle of the conservation of the mechanical energy in the form of an equation

 Kirchhoff's circuit laws are two equations that address the conservation of energy and charge in the context of electrical circuits.
 Fundamentally, they address conservation of energy and charge in the context of electrical circuits.
 Kirchhoff's laws are extremely important to the analysis of closed circuits.
 The voltage law is a simplification of Faraday's law of induction, and is based on the assumption that there is no fluctuating magnetic field within the closed loop.
 Describe relationship between the Kirchhoff's circuit laws and the energy and charge in the electrical circuits