Is there maximal value for kinetic energy ?

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Kinetic energy does not have a maximum limit; it can increase indefinitely with velocity. The classical formula for kinetic energy, Ek = mv²/2, applies until speeds approach the speed of light. At relativistic speeds, the kinetic energy must be calculated using the formula Ek = mc²/√(1 - v²/c²) - mc². As a particle's velocity approaches the speed of light, its kinetic energy approaches infinity. Thus, there is no upper bound on kinetic energy in physics.
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Is there a limit on value of kinetic energy ?
Ek= \frac{mv^2}{2} maximal mass ?

Something like plank length , plank temperature ...etc
 
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Short answer: No

Long answer: Kinetic energy is unlimited. But if you use really high speed you need to use the relativistic version:

\frac{{mc^2 }}{{\sqrt {1 - \frac{{v^2 }}{{c^2 }}} }} - mc^2

As you can see, if a massive particle travels at v=c, kinetic energy becomes ∞.
 
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