Surface tension of an ant on water

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SUMMARY

The discussion centers on calculating the required edge for a human weighing 50 kg to walk on water, given that an ant weighing 5 mg requires 0.5 mm of edge due to surface tension. Participants clarify that 'edge' refers to the perimeter of the area in contact with the water. The relationship between weight and edge is assumed to be linear, prompting further exploration of how surface tension can support varying weights based on the available edge. The consensus is that surface tension alone cannot support a 50 kg force without sufficient edge.

PREREQUISITES
  • Understanding of surface tension principles
  • Basic knowledge of weight and force relationships
  • Familiarity with linear relationships in physics
  • Concept of perimeter in geometric contexts
NEXT STEPS
  • Research the physics of surface tension and its limitations
  • Explore calculations involving weight distribution on surfaces
  • Learn about the effects of perimeter on buoyancy and support
  • Investigate real-world applications of surface tension in biology
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Students studying physics, particularly those interested in fluid dynamics, as well as educators looking for practical examples of surface tension in action.

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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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