Momentum & Velocity: Math Equation Correlation

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Discussion Overview

The discussion revolves around the mathematical relationship between momentum and velocity, specifically exploring different equations that describe this correlation. It includes considerations of classical and relativistic physics.

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant inquires about the mathematical equation correlating momentum and velocity.
  • Another participant provides the classical equation for momentum, stating it as p = mv, where momentum is the product of mass and velocity.
  • A different participant suggests that the inquiry relates to a more complex equation involving the Lorentz factor.
  • A subsequent reply presents the relativistic momentum equation, p = mv/sqrt(1-(v/c)²) or p = mvγ, where γ is defined as 1/sqrt(1-(v/c)²).
  • One participant expresses gratitude for the information provided.

Areas of Agreement / Disagreement

The discussion shows a progression from a classical understanding of momentum to a consideration of relativistic effects, indicating differing views on the appropriate context for the equation. No consensus is reached on which equation is most relevant to the original inquiry.

Contextual Notes

The discussion does not clarify assumptions regarding the context in which momentum and velocity are being analyzed, such as whether classical or relativistic physics is intended. There is also no resolution on the applicability of the Lorentz factor in this context.

melissajohn
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what is the mathematical equation of correlation for momentum and velocity?
 
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The equation for momentum:

p =mv

In words, momentum is equal to the product of mass and velocity. Is this what you are asking for?
 
no actually... i think it has to do with another equation with the lorentz factor.
 
p=mv/sqrt(1-(v/c)2) or more commonly

p=mv\gamma,

where \gamma=\frac{1}{\sqrt{1-(v/c)^{2}}}
 
thank you!
 

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