solutions_relativity

solutions_relativity - PHY2061 R. D. Field Relativity...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
PHY2061 R. D. Field Solutions Relativity Page 1 of 6 Relativity Solutions Problem 1: A rod whose length at rest is 10 meters is moving to the right along the positive x-axis of the O-frame with velocity V = 0.8c . An observer riding on the rod ( i.e. in the O'-frame ) sets off two explosions simultaneously – so he says. If the rod is parallel to the x-axis how far apart are the two explosions ( in meters ) in the O-frame ? Is this length the same as the length of the rod as measured in the O-frame ? If your answer is no, then what is the length of the rod ( in meters ) as measured in the O-frame ? Answers: 16.67, no, 6 Solution: The two explosions occur simultaneously in the O'-frame which implies that t' = 0 and thus m m L t c x x 67 . 16 ) 10 )( 667 . 1 ( ) ( 0 = = = + = γ β where I used x' = L 0 . This is not the same as the length of the rod as measured in the O-frame . The length of the rod as measured in the O- frame corresponds to marking both ends of the rod simultaneously in the O- frame ( i.e. t = 0 ) as follows: L t c x L x = = = ) ( 0 and m m L L 6 667 . 1 10 0 = = = . Problem 2: In the previous problem, what is the time interval ( in seconds ) between the two explosions as measured in the O-frame ? Which explosion occurred first in the O-frame , the one at the left or right end of the rod? Answers: 4.44x10 -8 , left one first Solution: The two explosions occur simultaneously in the O'-frame which implies that t' = 0 and thus m m L x t c t c 3 . 13 ) 10 )( 33 . 1 ( ) ( 0 = = = + = γβ where I used x' = L 0 . This, y x z y’ z’ x’ V=0.8c O' O Explosions simultaneously in the O'-frame L 0
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
PHY2061 R. D. Field Solutions Relativity Page 2 of 6 s s m m t 8 8 10 44 . 4 / 10 3 3 . 13 × = × = .
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 05/31/2011 for the course PHY 2061 taught by Professor Fry during the Spring '08 term at University of Florida.

Page1 / 6

solutions_relativity - PHY2061 R. D. Field Relativity...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online