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Unformatted text preview: Homework set # 20 Problems: 26.1, 2, 3, 9, 14, 13, 19 Solutions: 26.1 2 2 3.0 s 5.0 s 1 1- . 8 p p t t t v c 26.2 (a) Observers on Earth measure the time for the astronauts to reach Alpha Centauri as 4.42 yr E t . But these observers are moving relative to the astronaut’s internal biological clock and hence, experience a dilated version of the proper time interval p t measured on that clock. From E p t t , we find 2 2 1 4.42 yr 1 0.950 1.38 yr p E E t t t v c (b) The astronauts are moving relative to the span of space separating Earth and Alpha Centauri. Hence, they measure a length contracted version of the proper distance, 4.20 ly p L . The distance measured by the astronauts is 2 2 1 4.20 ly 1 0.950 1.31 ly p p L L L v c 26.3 (a) Since your ship is identical to his, the proper length of your ship (that is, the...
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This note was uploaded on 05/12/2011 for the course PHYS 1112 taught by Professor Seaton during the Spring '08 term at UGA.
- Spring '08