- #1
bq1892
- 2
- 0
- Homework Statement
- How far does an electron travel in its own frame of reference if a laboratory observer measures its speed to be 0.8c and the length of its journey 150m
- Relevant Equations
- Lv = Lo/γ
Lv = Lo / γ
1/γ =√(1-v^2/c^2) = √(1-0.8^2) = 0.6
Therefore Lv = Lo x 0.6 = 150 x 0.6 = 90m
Therefore electron travels 90m in its own frame of reference (answer key solution)
However, shouldn't the electron be assigned rest length, Lo, as its frame of reference is at rest with itself instead of Lv?
1/γ =√(1-v^2/c^2) = √(1-0.8^2) = 0.6
Therefore Lv = Lo x 0.6 = 150 x 0.6 = 90m
Therefore electron travels 90m in its own frame of reference (answer key solution)
However, shouldn't the electron be assigned rest length, Lo, as its frame of reference is at rest with itself instead of Lv?