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wilson_chem90
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oh thank god, thanks. i really need to work on my rearranging.. I am fine with everything else, its just when square roots are involved...
How Does Length Contraction Affect Measurements in Special Relativity?
- Thread starter wilson_chem90
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SUMMARY
The discussion focuses on calculating the relativistic length of a spaceship traveling at 0.80c, where an observer measures its length as 40m. The proper length (Lp) of the spaceship is determined using the equation L = Lp * sqrt(1 - v^2/c^2), leading to a calculated proper length of 66.67m. For the second part, the speed required for the spaceship's relativistic length to be half of its proper length is derived, resulting in a speed of v = sqrt(3/4) * c. The importance of the Lorentz factor (gamma) in these calculations is emphasized, clarifying common misconceptions about its value.
PREREQUISITES- Understanding of special relativity concepts, including length contraction
- Familiarity with the Lorentz factor (gamma)
- Proficiency in algebraic manipulation and rearranging equations
- Knowledge of the speed of light (c) as a constant
- Study the derivation and application of the Lorentz transformations in special relativity
- Learn about the implications of time dilation in conjunction with length contraction
- Explore practical examples of relativistic effects in high-speed particle physics
- Investigate the relationship between proper length and relativistic length in various scenarios
Students of physics, educators teaching special relativity, and anyone interested in understanding the effects of high-speed travel on measurements and observations.