Condition of the work energy theorem

In summary, the work energy theorem has different conditions depending on the situation. In non-relativistic mechanics, there are two valid theorems. The first states that if the system is under the action of external forces, the total work done by these forces equals the increase in total energy. The second states that if the system is isolated, the total work done by internal forces equals the increase in kinetic energy and decrease in potential energy, resulting in a constant total energy. These theorems are accepted by the physics community.
  • #1
bgq
162
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Hi,

After reading several resources about work and energy, I am confused about the conditions that should be satisfied in order to be able to apply work energy theorem. It seems that textbooks have different arguments about this issue. I can summarize what textbooks say in three different opinions about the condition to apply work energy theorem:

1) Work energy theorem is only applied to particles.
2) Work energy theorem should include both internal and external works.
3) The change in the system should be restricted to only kinetic energy.

Which is true? Which is accepted by the physics community?

Thanks in advance.
 
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  • #2
There are more situations, hence more theorems.

In non-relativistic mechanics, these two are valid:

If the system is under action of external forces, total work done by these external forces equals to increase of total energy of the system.

If the system is isolated, total work done by internal forces equals to increase of kinetic energy of the system and also to decrease of potential energy, so the total energy is constant.
 

1. What is the work-energy theorem?

The work-energy theorem is a fundamental principle in physics that states that the net work done on an object is equal to the change in its kinetic energy. In simpler terms, it explains the relationship between work and energy.

2. How is work defined in the context of the work-energy theorem?

In the context of the work-energy theorem, work is defined as the force applied to an object multiplied by the distance the object moves in the direction of the force. This can be represented by the equation W = Fd, where W is work, F is force, and d is distance.

3. What is the significance of the work-energy theorem?

The work-energy theorem is significant because it allows us to understand and calculate the energy changes of objects in motion. It is also a crucial concept in many areas of physics, including mechanics, thermodynamics, and electromagnetism.

4. How does the work-energy theorem relate to the conservation of energy?

The work-energy theorem is closely related to the principle of conservation of energy, which states that energy cannot be created or destroyed, only transferred from one form to another. The work done on an object results in a change in its kinetic energy, and this change is equal to the net work done on the object.

5. Can the work-energy theorem be applied to all types of motion?

Yes, the work-energy theorem can be applied to all types of motion, including linear, rotational, and oscillatory motion. This is because the principle of conservation of energy applies to all forms of energy, and the work-energy theorem is a direct consequence of this principle.

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