Special Relativity: Time Dialation

Classical Mechanics Level 1

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 $\text{fs}$ .

Special Relativity: Time Dialation

David's Special Relativity Set