Infinitely stretchable elastic band

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Discussion Overview

The discussion revolves around a thought experiment involving an infinitely stretchable elastic band with one end attached to a wall and the other to a horse. A snail is positioned on the band near the wall, and the problem explores the time it takes for the snail to reach the horse as both move at different constant speeds.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant presents the scenario and asks how long it will take for the snail to reach the horse, given their respective speeds.
  • Another participant questions whether the problem is intended as a brain teaser or for academic purposes, suggesting it may not belong in the Classical Physics forum.
  • A third participant references a previous thread that discusses a similar mathematical problem, indicating that this may not be a new concept.
  • A later reply proposes that the snail's movement can be understood as a combination of its own speed and the movement of the point on the elastic band where it is located.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the nature of the problem, with some viewing it as a brain teaser and others suggesting it has mathematical implications. The discussion remains unresolved regarding the specifics of the snail's movement and the applicability of the problem to physics.

Contextual Notes

There are limitations regarding the assumptions made about the elastic band and the nature of the speeds involved. The problem may depend on definitions of movement and elasticity that are not fully explored in the discussion.

orlan2r
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Imagine an infinitely stretchable elastic band where one end is attached to a vertical wall and the other on a horse, as shown in figure. On the elastic band, very close to the wall, there is a snail. If we assume that the initial length of the band is L, and the horse and snail start moving with constant rapideces v y u (v > u), respectively, how long time the snail reached the horse?
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Is this a brain teaser or for schoolwork? It doesn't really fit in the Classical Physics forum.
 
The problem referred by AlephZero is simliar but is purely mathematical.
I propuse a physics brain teaser.
In this case we can say the snail's movement respect to the Earth result of composition of movements: their own movement respect of the elastic band and the movement of the point of the elastic band on which is located
 

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