Solve Spring Force/Energy: Find Velocity

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Homework Help Overview

The discussion revolves around a problem involving a horizontal spring and the velocity of an object attached to it when it is halfway to equilibrium. Participants are provided with the mass of the object, the distance the spring was stretched, and the velocity of the spring at the moment of release. There is uncertainty regarding the term "halfway to equilibrium" and its implications for solving the problem.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are questioning the meaning of "halfway to equilibrium" and how it relates to the spring's stretch. There are discussions about whether initial kinetic energy can be used to find the velocity. Some participants seek clarification on the initial conditions of the spring's motion and the definition of mechanical equilibrium.

Discussion Status

The discussion is ongoing, with participants exploring various interpretations of the problem. There is a call for a complete statement of the question to facilitate better understanding. Some guidance has been offered regarding the definitions involved, but no consensus has been reached on the interpretation of the problem.

Contextual Notes

Participants note that the spring undergoes simple harmonic motion and mention a maximum velocity of 1.5 m/s, which raises further questions about the conditions prior to release. There is also a concern about the clarity of the terminology used in the problem statement.

AtomicBoom
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HW Template missing as it was moved from another forum
I have a question that asks to find the velocity of the object attached to a horizontal spring when it is halfway to equilibrium. I am given the mass, how far the spring was stretched, and the velocity of the spring when it was released.
I am unsure of what it means by halfway to equilibrium. Could i solve it by finding the initial kinetic energy?
 
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Do you have the spring constant?
 
AtomicBoom said:
I have a question that asks to find the velocity of the object attached to a horizontal spring when it is halfway to equilibrium. I am given the mass, how far the spring was stretched, and the velocity of the spring when it was released.
I am unsure of what it means by halfway to equilibrium. Could i solve it by finding the initial kinetic energy?

Mechanical equilibrium - when the net force on the object is zero.

Questions for you:
Where would that be? Is it how far the spring was stretched?
If the stretch was L, then halfway to the equilibrium position should then be _____?

Can you clarify what you mean though, when you say you know the velocity of the spring when released. Is the object given an initial velocity? other than 0?
 
AtomicBoom said:
halfway to equilibrium
That's a really poor term to use in a question. I would find it really difficult to decide what it means exactly.
 
256bits said:
Mechanical equilibrium - when the net force on the object is zero.

Questions for you:
Where would that be? Is it how far the spring was stretched?
If the stretch was L, then halfway to the equilibrium position should then be _____?

Can you clarify what you mean though, when you say you know the velocity of the spring when released. Is the object given an initial velocity? other than 0?

It said in the question that the spring undergoes simple harmonic motion, and achieves a maximum velocity of 1.5m/s.
 
No, it says 1.5 m/s is the speed when is released. Which needs some clarification. What was it doing before being released?
 
I believe at this stage, the question should be stated completely, in one post.
 

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