Closed Systems and Isolated Systems

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In classical mechanics, a closed system is defined as one that cannot exchange matter with its surroundings, while an isolated system does not exchange energy or matter. In thermodynamics, the distinction is clearer, with closed systems unable to gain or lose matter, and isolated systems also not exchanging energy. The law of conservation of momentum applies to isolated systems, where the total momentum remains constant regardless of interactions. Classical mechanics does not recognize isolated systems, equating them with closed systems in thermodynamics. Understanding these distinctions is crucial for applying the conservation laws accurately in different contexts.
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Within the scope of classical mechanics, what exactly is the definition of a closed system, and of an isolated system? Also, do these definitions differ in thermodynamics?
And does the law of conservation of linear momentum apply to a closed system or an isolated system?
 
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MohammedRady97 said:
Within the scope of classical mechanics, what exactly is the definition of a closed system, and of an isolated system? Also, do these definitions differ in thermodynamics?
And does the law of conservation of linear momentum apply to a closed system or an isolated system?
In thermodynamics, the distinction between closed systems and open systems is whether the system can lose or gain matter. Closed systems can't. Open systems can.

The law of conservation of momentum is a fundamental physical law that applies to every interaction involving matter. There is no distinction between open and closed systems relating to the applicability of this law. The only thing that matters is the interaction. The momentum of all the interacting bodies before the interaction must be equal to the momentum of all the interacting bodies after the interaction. One has to include the momentum of massless particles as well (photons).

AM
 
Andrew Mason said:
In thermodynamics, the distinction between closed systems and open systems is whether the system can lose or gain matter. Closed systems can't. Open systems can.

The law of conservation of momentum is a fundamental physical law that applies to every interaction involving matter. There is no distinction between open and closed systems relating to the applicability of this law. The only thing that matters is the interaction. The momentum of all the interacting bodies before the interaction must be equal to the momentum of all the interacting bodies after the interaction. One has to include the momentum of massless particles as well (photons).

AM

Yes, I am familiar with the idea that momentum is always conserved, regardless of whether or not the system under study is closed/isolated. Perhaps I should've made my question more clear: which statement is correct?
1) The total momentum of a closed system remains constant.
Or
2) The total momentum of an isolated system remains constant.
 
MohammedRady97 said:
Yes, I am familiar with the idea that momentum is always conserved, regardless of whether or not the system under study is closed/isolated. Perhaps I should've made my question more clear: which statement is correct?
1) The total momentum of a closed system remains constant.
Or
2) The total momentum of an isolated system remains constant.

The second one.
 
MohammedRady97 said:
Within the scope of classical mechanics, what exactly is the definition of a closed system, and of an isolated system? Also, do these definitions differ in thermodynamics?

Classical mechanics doesn't have a concept of an isolated system. Systems are open or closed in classical mechanics. The thermodynamics concept of an isolated system corresponds to the classical mechanics concept of a closed system. A closed system in thermodynamics is an open system in classical mechanics.
 
I thought you meant "isolated" as a system that does not interact with any other system (in this case, the total momentum vector of the system remains constant).
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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