Law of conservation of energy problem [reupload]

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Homework Help Overview

The problem involves a mass hanging from a vertical spring, initially at rest, with a person pulling down on the mass to stretch the spring. The question posed is whether the total mechanical energy of the system increases, decreases, or remains the same, without any specific values or equations provided.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to assert that the total mechanical energy remains constant due to the interplay of gravitational potential energy and elastic potential energy. Some participants question whether the person pulling on the spring is part of the system and where the energy for this action originates. Others explore the implications of releasing the spring after stretching it.

Discussion Status

Participants are actively engaging with the assumptions of the problem, particularly regarding the definition of the system and the role of gravitational potential energy. There is an ongoing exploration of whether the total mechanical energy increases or remains constant, with no clear consensus reached yet.

Contextual Notes

There is a focus on the definitions and assumptions regarding the system, particularly whether external forces are included and how they affect energy considerations. The problem is framed as a word problem with no calculations required, which may influence the interpretations of energy changes.

Kianlos
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Homework Statement


THIS PROBLEM CONSISTS OF NOTHING MORE THAN WHAT IS BEING STATED (NO VALUES, NO EQUATIONS, NOTHING) THIS IS A WORD PROBLEM WHERE NO CALCULATIONS ARE TO BE MADE: A mass hangs from a vertical spring and is initially at rest. A person then pulls down on the mass, stretching the spring. Does the total mechanical energy of this system increase, decrease or stay the same? Explain.

Homework Equations


none

The Attempt at a Solution


So what i said was the total mechanical energy of the system is constant, meaning that it stays the same (I believe this is so because one is decreasing the gravitational potential energy of the body whilst increasing the elastic potential energy such that the total mechanical energy is kept constant)

Is that right? If not, please explain to me where my interpretation of the problem has come to faults with the correct answer
 
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Hi Kianlos.

Is the person who pulls down on the spring considered to be part of the system? Where did the energy come from for him to pull down the spring? It wasn't potential energy already associated with the rock, otherwise the rock would have stretched the spring further.

If the person let's go of the spring after stretching it, what happens? Would the rock return to its previous rest position and stop there?
 
gneill said:
Hi Kianlos.

Is the person who pulls down on the spring considered to be part of the system? Where did the energy come from for him to pull down the spring? It wasn't potential energy already associated with the rock, otherwise the rock would have stretched the spring further.

If the person let's go of the spring after stretching it, what happens? Would the rock return to its previous rest position and stop there?
The person who pulls down on the spring is considered not to be part of the system (the system only consists of the spring and the mass)... Okay, if it wasn't potential energy already associated with the rock then can I just go on to say that the total mechanical energy of this system increases instead? I say this because if the object is initially at rest and we are not to factor in gravitational potential energy and are to pull upon the said object bringing about some form of stretch, is it just safe to say that the total mechanical energy of the system increases?
 
Kianlos said:
The person who pulls down on the spring is considered not to be part of the system (the system only consists of the spring and the mass)... Okay, if it wasn't potential energy already associated with the rock then can I just go on to say that the total mechanical energy of this system increases instead? I say this because if the object is initially at rest and we are not to factor in gravitational potential energy and are to pull upon the said object bringing about some form of stretch, is it just safe to say that the total mechanical energy of the system increases?
Gravitational potential energy is a factor. What @gneill and @Kianlos are trying to get you to consider is whether the change in gravitational potential energy is the same, greater than or less than the change in potential energy in the spring.
 
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