What is a Conservative System in Classical Mechanics?

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In summary, a conservative system in classical mechanics is a system in which the total energy is constant, but the individual particles' total energies may change. This is in terms of matter and energy, and if all forces are conservative, then answer a) would be true.
  • #1
fortaq
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Hello,

Could someone tell me what a conservative system in classical mechanics is? Is it

a) a system in that each particle's total energy is constant

OR

b) a system whose total energy is constant, but the individual particles' total energies may change.


THX, fortaq
 
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  • #2
the answer is b)
 
  • #3
Conservative in terms of what?

If it's in terms of matter, then it's a 'closed' system.

If its matter and energy it's an 'isolated' system.
 
  • #4
In terms of matter and energy.

But is a conservative system in fact identical with an isolated one?
 
  • #5
To add to my initial question:
Is a conservative system not a system in that all forces are conservative? In that case, namely, answer a) should be true.
 

1. What is a conservative system in classical mechanics?

A conservative system in classical mechanics is a physical system in which the total energy remains constant over time. This means that the potential energy and kinetic energy of the system do not change, and any energy lost in one part of the system is gained in another part.

2. How does a conservative system differ from a non-conservative system?

Unlike a conservative system, a non-conservative system experiences a loss or gain of energy due to external forces such as friction, air resistance, or other dissipative forces. This results in a change in the total energy of the system over time.

3. What are some examples of conservative systems in classical mechanics?

Some examples of conservative systems in classical mechanics include a simple pendulum, a mass attached to a spring, and a planet orbiting around a star. In each of these systems, the total energy remains constant and is conserved.

4. How is the concept of potential energy related to conservative systems?

In a conservative system, potential energy is the energy that is stored in the system due to its position or configuration. It is related to the force acting on the system and is defined as the negative of the work done by that force. In a conservative system, potential energy remains constant, and any changes in the potential energy are balanced by changes in kinetic energy.

5. What is the significance of conservative systems in classical mechanics?

Conservative systems play an essential role in classical mechanics because they allow for the conservation of energy, which is a fundamental principle in physics. This concept helps to simplify complex systems and allows for the prediction of future behavior based on the initial conditions of the system. It also has practical applications in engineering and technology, such as in the design of efficient machines and structures.

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