Why is the efficiency of a rubber band slingshot constant

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Homework Help Overview

The discussion revolves around understanding the efficiency of a rubber band slingshot and why it remains constant across different stretch lengths. The focus is on the relationship between the kinetic energy of the projectile and the elastic potential energy stored in the rubber band.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the phases of stretching and releasing the rubber band, questioning how tension relates to extension. Some consider the ideal nature of a slingshot and its implications for efficiency, while others mention the concept of hysteresis and energy loss.

Discussion Status

The discussion is ongoing, with participants raising various points about the efficiency of the slingshot and the factors affecting it. There is no explicit consensus, but several lines of reasoning are being explored regarding energy transfer and loss.

Contextual Notes

Participants note the absence of mathematical analysis and emphasize the need for a general explanation. The concept of hysteresis is introduced as a potential factor in understanding energy loss during the slingshot's operation.

CTHAEH
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Homework Statement


I need to explain for a lab, why the efficiency of a rubber band slingshot constant for different stretch lengths. I don't need math, just a general explanation of why kinetic energy of projectile/elastic potential energy in rubber band is constant.

Homework Equations

The Attempt at a Solution


I really couldn't think of anything. Please help
 
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CTHAEH said:

Homework Statement


I need to explain for a lab, why the efficiency of a rubber band slingshot constant for different stretch lengths. I don't need math, just a general explanation of why kinetic energy of projectile/elastic potential energy in rubber band is constant.

Homework Equations

The Attempt at a Solution


I really couldn't think of anything. Please help
Not sure I can answer it either, in the sense of a reasonable basis for predicting that result.
But it might help to think about the two phases, stretching and releasing. If you were to plot the extension against tension during that cycle, what would you expect?
 
Perhaps a slingshot is close to ideal? In which case the efficiency is always close to 100%?
 
CWatters said:
Perhaps a slingshot is close to ideal? In which case the efficiency is always close to 100%?
Possibly, but in that case one could look at loss, i.e. 1-efficiency, thereby exposing variation better.
 

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