Relativistic Analogue Hidden in Projectile Motion
- Authors
- Lim, Jae Hoon; Jung, Dong-Won; Kim, U-Rae; Cho, Sungwoong; Lee, Jungil
- Issue Date
- 10월-2020
- Publisher
- KOREAN PHYSICAL SOC
- Keywords
- Special relativity; Lorentz transformation; Four-velocity; Free falling
- Citation
- JOURNAL OF THE KOREAN PHYSICAL SOCIETY, v.77, no.8, pp.624 - 629
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- JOURNAL OF THE KOREAN PHYSICAL SOCIETY
- Volume
- 77
- Number
- 8
- Start Page
- 624
- End Page
- 629
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/52532
- DOI
- 10.3938/jkps.77.624
- ISSN
- 0374-4884
- Abstract
- We present a four-vector analogue U-mu equivalent to (U-0, U) = (|V '|, V) that can be directly constructed from the velocity of a projectile. Here, V and V ' are the velocities of a projectile at heights h + H and h, respectively. In the non-relativistic regime, the mathematical structure of this four-vector analogue has an exact correspondence to the relativistic counterpart four-velocity u(mu) = gamma(1, beta)c of a massive particle. Based on this observation, we illustrate the design of an introductory laboratory experiment to investigate the Lorentz invariance and its covariant nature by measuring the velocity of a projectile. The experiment may help students to acquire a concrete perspective of Lorentz covariance through their own measurements and analyses of a free-fall motion.
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