B8] This question concerns two inertial frames S and S' with origins coinciding at t = t' = 0, and a set of events taking place along the x-axis, which defines the direction of relative motion. a) The coordinates of event A in frame S are x = 12 m and t = 8x10- s. If the coordinates of this event in frame S' are x' = -3 m and t' = 7× 10-8 s, show that the y factor for transformations between S and S' is 5/4. b) Events B and C take place in S' at a time t' = 6 × 10-8 s at x' = 1 m and x' = 2 m respectively. What is their spatial separation in frame S? %3D c) Event D takes place in S' at t' = 3 x 10s and x' = 1 m. What is %3D %3D the time difference between events B and D in S?
B8] This question concerns two inertial frames S and S' with origins coinciding at t = t' = 0, and a set of events taking place along the x-axis, which defines the direction of relative motion. a) The coordinates of event A in frame S are x = 12 m and t = 8x10- s. If the coordinates of this event in frame S' are x' = -3 m and t' = 7× 10-8 s, show that the y factor for transformations between S and S' is 5/4. b) Events B and C take place in S' at a time t' = 6 × 10-8 s at x' = 1 m and x' = 2 m respectively. What is their spatial separation in frame S? %3D c) Event D takes place in S' at t' = 3 x 10s and x' = 1 m. What is %3D %3D the time difference between events B and D in S?
Related questions
Question
100%
![B8] This question concerns two inertial frames S and S' with origins
coinciding at t = t' = 0, and a set of events taking place along the x-axis, which
defines the direction of relative motion.
-8
a) The coordinates of event A in frame S are x = 12 m and t = 8x10 s.
If the coordinates of this event in frame S' are x' = -3 m and t' = 7 x 10- s,
show that the y factor for transformations between S and S' is 5/4.
b) Events B and C take place in S' at a time t' = 6 × 10-* s at x' = 1 m
and x' = 2 m respectively. What is their spatial separation in frame S?
%3D
-8-
c) Event D takes place in S' at t' = 3 x 10 s and x' = 1 m. What is
the time difference between events B and D in S?
d) Is it possible for events A and D to take place at the same time in the
frame of an observer moving along the x-axis?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd382491f-da3f-4b93-81d5-2060893755a3%2Fd7961854-f5a5-4360-a314-39a4cc8cff90%2F460szvi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:B8] This question concerns two inertial frames S and S' with origins
coinciding at t = t' = 0, and a set of events taking place along the x-axis, which
defines the direction of relative motion.
-8
a) The coordinates of event A in frame S are x = 12 m and t = 8x10 s.
If the coordinates of this event in frame S' are x' = -3 m and t' = 7 x 10- s,
show that the y factor for transformations between S and S' is 5/4.
b) Events B and C take place in S' at a time t' = 6 × 10-* s at x' = 1 m
and x' = 2 m respectively. What is their spatial separation in frame S?
%3D
-8-
c) Event D takes place in S' at t' = 3 x 10 s and x' = 1 m. What is
the time difference between events B and D in S?
d) Is it possible for events A and D to take place at the same time in the
frame of an observer moving along the x-axis?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
