Relativity.pdf
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The particle has a proper lifetime of 100.0 ns. According to an observer in the laboratory, the particle lives for 357.1 ps and travels 102.776 m. According to an observer moving with the particle, the distance traveled is 28.7808 m.
Relativity.pdf
- 1. 1 The proper lifetime of a certain particle is 100.0 ns. (a)How long does it live in the laboratory if it moves at v = 0.960c? (b) How far does it travel in the laboratory during that time? (c) What is the distance traveled in the laboratory according to an observer moving with the particle?
- 4. 4 (a) 0 2 2 9 7 0 7 7 7 2 2 2 7 7 7 9 (1) 1 , 100.0 100 10 10 , 0.960 Putting in (1), we get 10 10 10 1 0.9216 (0.960 ) 1 (0.960) 1 10 10 3.571 10 357.1 10 357.1 0.28 0.0784 t t u c Here t ns X s s u c s s s t c c s s X s X s ns ? ? ? ? ? ? ? ? ? ? ? = ? ? ? ? ? ? ? ? ? ? ? ? ? ? = = = = ? = = = ? ? ? = = = = =
- 5. 5 (b) 9 8 9 1 (0.960 ) X357.1X10 0.960 2.998 10 357.1 10 1027.76 10 102.776 d v t c s m X X X X s s X m m ? ? ? = ? = = = =
- 6. 6 (c) 0 0 8 9 0.960 100.0 0.960 2.998 10 100.0 10 2.87808 10 28.7808 d v t cX ns m X X X X s s X m m ? = ? = = = = The End