Special Relativity: Time Dialation
Classical Mechanics
Level
2
Speeds typical of our everyday lives results in the laws of Classical Mechanics; however, when a particle approaches a reasonably high fraction of light speed (\(c\)), the time (\(t_\text{obs}\)) we observe is dilated such that: \[ t_{obs} = \frac{t}{\sqrt{1 - \frac{v^2}{c^2}}} \] In an obscure Prussian lab, a positron's velocity (\(v\)) was accelerated to \(0.6c\). If \(t\), as experienced by the positron, is \(200\) \(\text{femtoseconds}\), what would we observe as the dilated time?
Hint: Find \(t_\text{obs}\) in \(\text{fs}\).
David's Special Relativity Set
by
David Hontz