Is there maximal value for kinetic energy ?

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SUMMARY

Kinetic energy does not have a maximal value; it is theoretically unlimited. The formula for kinetic energy, Ek = mv²/2, applies at non-relativistic speeds. However, at relativistic speeds, the kinetic energy is calculated using the equation (mc² / √(1 - v²/c²)) - mc², indicating that as a massive particle approaches the speed of light (v=c), its kinetic energy approaches infinity.

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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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