What is the Value of v^2 in the Equation .0834 = .5 √(1 - v^2)?

  • Context: High School 
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Discussion Overview

The discussion revolves around solving the equation .0834 = .5 √(1 - v^2) for v^2, exploring various algebraic manipulations and interpretations of related equations in the context of physics, particularly concerning Lorentz transformations.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • Some participants suggest squaring both sides of the equation to isolate v^2, while others propose different algebraic approaches, such as multiplying by 2 first.
  • One participant estimates that v^2 is approximately 35/36, but this is not confirmed.
  • There is a discussion about the possibility of explaining concepts purely through equations versus using descriptive methods.
  • Several participants provide their derived forms of v^2 in relation to Lorentz transformations, with varying degrees of confidence in their correctness.
  • One participant expresses confusion about their algebraic steps and seeks clarification on their reasoning, leading to further discussion about the distributive property and order of operations.
  • Another participant humorously comments on the perceived decline of algebra skills in society, which leads to a light-hearted exchange about intelligence and education.

Areas of Agreement / Disagreement

Participants express a range of views on how to manipulate the equations, with no clear consensus on the best approach or the correctness of specific algebraic steps. Disagreements about the validity of certain transformations and interpretations remain unresolved.

Contextual Notes

Some participants highlight potential misunderstandings related to the order of operations and the application of algebraic principles, but these issues are not definitively resolved.

Who May Find This Useful

This discussion may be useful for individuals interested in algebraic manipulation within physics contexts, particularly those studying Lorentz transformations or seeking clarification on related mathematical concepts.

  • #31
v^2= [c^2(t^2-T^2)}/t^2
 
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  • #32
Alright, I'll bite: what does "floped" mean?
 

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