Conservation question really quick

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The discussion revolves around a physics problem involving two identical carts and a compressed spring, focusing on the conservation of momentum and energy principles during their release and subsequent motion.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the conservation of total momentum, kinetic energy, and mechanical energy in the context of the system comprising the carts and the spring. Questions arise regarding the role of external forces and the inclusion of the spring in the system.

Discussion Status

There is an ongoing exploration of the correct interpretation of conservation laws, with some participants questioning the validity of different statements regarding energy conservation. Guidance is provided regarding the definitions of the system and the implications of external forces.

Contextual Notes

Participants note the initial conditions of the carts being at rest and the potential energy stored in the spring, which may affect their interpretations of energy conservation. There is uncertainty about the correct answer to the posed question, with various options being considered.

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Two identical carts are held at rest. Between the two carts is a compressed spring of negligible mass. When the carts are released, the spring expands and the carts move in opposite directions. Which of the following statements is not true?

I. Total momentum of the system is conserved.
II. Kinetic energy of the system is conserved.
III. Total mechanical energy of the system is conserved.


_II and III only _II only _I only _III only _I, II, and III

What is the answer?

I thought it was only III since the velocity changes. However choosing only III was marked wrong.
 
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Presumably, your system is both blocks and the spring. If that is the case, are there any external forces on the system? The sum of the external forces gives you the change in momentum with respect to time.

Also note that if the spring is not part of the system your answer to the question will be different.
 
so would the answer be I,II, and III
 
No, at the moment when the blocks are released, they have no velocity and no kinetic energy, but at a later time they are moving. Some of the energy at any time may be in the form of potential energy in the spring, but kinetic + potential (both forms of mechanical energy) is constant
 
I know the answer is not only III since i got it wrong, so is it II and III?
 

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