Real Opinions Please?

Question

I'm doing a paper for my physics class and my topic is conservation of Energy is Important. What need is your opinion on Conserving Energy and where I can get more information about this "important topic"

Answer 1

Conservation of energy states that the total amount of energy (often expressed as the sum of kinetic energy and potential energy) in an isolated system remains constant. In other words, energy can be converted from one form to another, but it cannot be created or destroyed. In modern physics, all forms of energy exhibit mass and all mass is a form of energy.

In thermodynamics, the first law of thermodynamics is a statement of the conservation of energy for thermodynamic systems.

The energy conservation law is a mathematical consequence of the shift symmetry of time; energy conservation is implied by the empirical fact that physical laws remain the same over time.

There is much more at the links below:

Answer 2

Do you mean "Conservation of Energy" or "Energy Conservation"; coe is a physical law while ec is related to energy consumption and how to consume less.

Answer 3

The main thing is not to "conserve energy" but developing new sources of energy and/or create new energy by renewable means.

Answer 4

1st of all u should know the law of conservation of Energy it states that
the total amount of energy (often expressed as the sum of kinetic energy and potential energy) in an isolated system remains constant. In other words, energy can be converted from one form to another, but it cannot be created or destroyed. In modern physics, all forms of energy exhibit mass and all mass is a form of energy.

Modern physics:

Noether's Theorem:

The conservation of energy is a common feature in many physical theories. It is understood as a consequence of Noether's theorem, which states every symmetry of a physical theory has an associated conserved quantity; if the theory's symmetry is time invariance then the conserved quantity is called "energy". In other words, if the theory is invariant under the continuous symmetry of time translation then its energy is conserved. Conversely, theories which are not invariant under shifts in time (for example, systems with time dependent potential energy) do not exhibit conservation of energy -- unless we consider them to be exchanging energy with another, external system so that the theory of the enlarged system becomes time invariant again. Since any time-varying theory can be embedded within a time-invariant meta-theory energy conservation can always be recovered by a suitable re-definition of what energy is. Thus conservation of energy is valid in all modern physical theories, such as relativity and quantum theory.

Quantum theory

In quantum mechanics, energy is defined as proportional to the time derivative of the wave function. Lack of commutation of the time derivative operator with the time operator itself mathematically results in an uncertainty principle for time and energy: the longer the period of time, the more precisely energy can be defined (energy and time become a conjugate Fourier pair). However quantum theory in general, and the uncertainty principle specifically, do not violate energy conservation (as laymen or philosophers often imply


The first law of thermodynamics:

For a thermodynamic system with a fixed number of particles, the first law of thermodynamics may be stated as:
dQ=dU+dW
, or equivalently, dU=dQ-dW
where
dQ is the amount of energy added to the system by a heating process,

dW is the amount of energy lost by the system due to work done by the system on its surroundings and

dU is the increase in the internal energy of the system.

The δ's before the heat and work terms are used to indicate that they describe an increment of energy which is to be interpreted somewhat differently than the dU increment of internal energy. Work and heat are processes which add or subtract energy, while the internal energy U is a particular form of energy associated with the system. Thus the term "heat energy" for δQ means "that amount of energy added as the result of heating" rather than referring to a particular form of energy. Likewise, the term "work energy" for δW means "that amount of energy lost as the result of work". The most significant result of this distinction is the fact that one can clearly state the amount of internal energy possessed by a thermodynamic system, but one cannot tell how much energy has flowed into or out of the system as a result of its being heated or cooled, nor as the result of work being performed on or by the system.

The first law can be written exclusively in terms of system variables. For a simple compressible system, the work performed by the system may be written

dW=PdV
where P is the pressure and
dV is a small change in the volume of the system, each of which are system variables.

The heat energy may be written
dQ=TdS
,
where T is the temperature and dS is a small change in the entropy of the system. Temperature and entropy are also system variables