Work done by a swinging spring-like object [not homework]

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Homework Help Overview

The discussion revolves around the concept of work done by a spring-like object, such as a rubber band or a spring, when it is swung to perform a task, similar to swinging a vine across a river. Participants are exploring the relationship between displacement and work in this context.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants are questioning the definition of work in relation to the energy of the system and the specific work done by the spring-like object. There is a discussion about whether the work can be computed simply as -kx^2, where x represents the displacement from the unstretched to the stretched state.

Discussion Status

Some participants have offered insights into the calculation of work, while others are reflecting on the definition of work and its application to the scenario. The conversation is ongoing, with various interpretations being explored.

Contextual Notes

There is a focus on understanding the nuances of work in relation to the forces involved, particularly the spring force, and how it relates to displacement. Participants are considering the implications of these definitions on their understanding of the problem.

holezch
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This isn't a homework problem, I'm just wondering: if you had a spring like object like a rubber band or just a spring, and attached something to its end and swung it across (like swinging a vine to get across a river), how do you compute the work? is it just -kx^2? where x is the displacement from the spring unstretched to its stretched state?

thanks
 
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when you say work what do you mean. Do you meant he energy of the system? Do you mean the work done by gravity?
 
oh , I meant the work done by the spring-like object

thanks!
 
Yes, the work done by the rubber band alone is -kx^2.
 
thanks , I thought so intuitively.. but I need to think about the definition of work. So, work is the displacement multiplied by the force done in the same direction.. and since the stretching or compressing on a spring is always on the same "axis" as the spring force, we can just say -k or k right?
 

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