Momentum & Velocity: Math Equation Correlation

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Momentum is defined mathematically as p = mv, where p represents momentum, m is mass, and v is velocity. The discussion highlights the need to consider relativistic effects, leading to the equation p = mv/√(1 - (v/c)²) or p = mvγ, where γ is the Lorentz factor. This factor accounts for the effects of traveling at speeds close to the speed of light, c. The conversation clarifies that the standard momentum equation is insufficient for high-velocity scenarios. Understanding these equations is crucial for accurately describing momentum in relativistic physics.
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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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