# Is there maximal value for kinetic energy ?

1. Oct 16, 2012

### elementHTTP

Is there a limit on value of kinetic energy ?
Ek= $\frac{mv^2}{2}$ maximal mass ?

Something like plank length , plank temperature ...etc

2. Oct 17, 2012

### teros

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 ∞.