Surface tension of an ant on water

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Discussion Overview

The discussion revolves around the concept of surface tension and its application to the scenario of an ant walking on water, specifically exploring the relationship between weight and the required edge (perimeter) for a human to also walk on water. The context includes a homework problem that prompts participants to analyze the underlying physics.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant proposes that the relationship between area and weight is linear, questioning if this assumption is correct.
  • Another participant agrees that weight and edge are directly proportional.
  • A different participant seeks clarification on the term "edge," expressing unfamiliarity with its use in surface tension problems and doubts the ability of surface tension to support a 50 kg force.
  • A follow-up response defines "edge" as the perimeter of an area and suggests that the ability of surface tension to support weight may depend on the amount of edge available.

Areas of Agreement / Disagreement

Participants express differing views on the concept of edge and its implications for surface tension's ability to support weight. There is no consensus on the assumptions regarding linearity or the feasibility of surface tension supporting a human's weight.

Contextual Notes

The discussion includes assumptions about the linear relationship between weight and edge, which may not be universally accepted. The term "edge" is not clearly defined for all participants, leading to potential misunderstandings.

engineer23
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Homework Statement



An ant weighs 5 mg and requires 0.5 mm of edge to "walk on water" with the aid of surface tension. How much edge is required for a human who weighs 50 kg?

Homework Equations





The Attempt at a Solution



I'm assuming that the relationship between area and weight is linear in this case. Is this a correct assumption?? If so, then I know how to work the problem.
 
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yes,are directly proportional to weight
 
CAn you explain meaning of edge, I've never used this term in surface tension problems.
And in my view surface tension can't bear 50kg force.
 
rajatgl16 said:
CAn you explain meaning of edge, I've never used this term in surface tension problems.
Think of 'edge' as the perimeter of an area.
And in my view surface tension can't bear 50kg force.
Wouldn't that depend on how much 'edge' you have? (That's the point of the exercise.)

(Note that you are responding to a post that is over a year old.)
 

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