QuestionDetails: Section 37-13 AdditionalProblems QuestionDetails: As in the fig
ID: 1751386 • Letter: Q
Question
QuestionDetails:Section 37-13 AdditionalProblems QuestionDetails: As in the figure below, reference frame S' passesreference frame S with a certain velocity. Events 1 and 2are to have a certain temporal separation t'according to the S' observer. However, their spatialseparation x' according to that observer has notbeen set yet. Figure 37N-4 gives their temporal separationt according to the S observer as afunction of x' for a range of x'values. What is t'? (The vertical axis is marked inincrements of 1.0 µs and thehorizontal axis is marked in increments of 100 m.)
1 µs
Section 37-13 AdditionalProblems
Explanation / Answer
The spatial separation in S ' frame is x' = 2 (1 m) = 2m ...............1 The velocity of the S ' frame with respect to S frame be v then temporal separation is S' frameis t ' = x ' / v = 2/ v ..............2 we know t ' = t / [ 1 - ( v / c) 2] Where temporal separation in S frame t = 1 s + ( 1 s / 3 ) = ( 2 / 3 ) s ..........3 so that he velocity of frame S' is v= c [ 1 - ( t / t' ) 2] = 3 x 108m/s [ 1 - ( 2s *v / 3*2 ) 2 ] Solving for v we get = ( 2 / 3 ) s ..........3 so that he velocity of frame S' is v= c [ 1 - ( t / t' ) 2] = 3 x 108m/s [ 1 - ( 2s *v / 3*2 ) 2 ] Solving for v we get v = .......... ...............4 Substituting 4 in 2 we get t ' = 2 / v = .............s = .............sRelated Questions
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