Kinetic energy of a compound system (atwood machine)

In summary, a system in an Atwood machine consists of two connected masses and the Earth. In order to find the total kinetic energy, the principle of conservation of energy can be applied, where the change in kinetic energy and potential energy must equal zero. When dealing with multiple moving parts in a system, each individual energy can be added together to find the final kinetic energy. However, if the system consists of non-connected blocks, the final kinetic energy would need to be defined differently.
  • #1
Davyd Sadovskyy
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A system is defined as two connected masses in an atwood machine and the earth. How do I find total kinetic energy in a system where more than one object is moving (or is only one object actually moving since the two masses are connected with a string? idk)
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This is an isolated system so... ΔK + ΔU = 0

How do I define energies of a system if there are multiple moving parts, each with its own energy? This is at the core of my confusion. I know that initially, there are no particles in this system with velocity, so Ki must be 0.
These are my questions

1.) How would you define the final kinetic energy? Do you treat the two moving blocks as a singly block instead of 2 separate blocks?

2.) What if a system consisted of 2 non connected blocks. How would you define final kinetic energy then?
 

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  • #2
Davyd Sadovskyy said:
How would you define the final kinetic energy?
Energy is additive. Just sum the KEs of the individual masses.
 

1. What is a compound system in relation to kinetic energy?

A compound system refers to a system that is made up of multiple components or objects. In the context of kinetic energy, a compound system can be thought of as a system made up of multiple objects that are moving and interacting with each other.

2. How is kinetic energy calculated in a compound system?

In a compound system, the total kinetic energy is the sum of the individual kinetic energies of each component. The kinetic energy of an object is calculated as 1/2 multiplied by its mass and velocity squared. Therefore, in a compound system, the kinetic energy can be calculated by adding up the individual kinetic energies of each component.

3. What is an Atwood machine?

An Atwood machine is a simple mechanical device that consists of two masses connected by a string or cable over a pulley. It is commonly used to demonstrate concepts of acceleration and forces in physics.

4. How does an Atwood machine affect the kinetic energy of a compound system?

In an Atwood machine, the kinetic energy is converted between the two masses as they move. As one mass falls, it gains kinetic energy, while the other mass rises and loses kinetic energy. However, the total kinetic energy of the compound system remains constant.

5. How does the mass and velocity of each component affect the kinetic energy of a compound system?

The mass and velocity of each component directly affect the kinetic energy of a compound system. A larger mass or higher velocity will result in a higher kinetic energy. Additionally, the distribution of mass and velocity among the components can also affect the overall kinetic energy of the system.

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