Answer to Question #98249 in Mechanics | Relativity for AbdulRehman

Question

a) Draw the two worldlines on a spacetime diagram in your frame of refer-
ence, and draw and label (i) the event where your watch “ticks” t = 1
and (ii) the event where your friend’s watch “ticks” t = 1. At what
time is this second event in your reference frame? Did you draw it in
the right place?
b) On the same diagram, sketch the line of events which are at t = 1 second
as determined by your system of reference. This is your t = 1 line of
simultaneity.
c) On the same diagram, sketch the line of events which are at t = 1 second
as determined by your friend’s system of reference. (Hint: At what time
in your system of reference does his watch tick t = 1?) This is your
friend’s t = 1 line of simultaneity.
e) Consider the event where your t = 1 line of simultaneity crosses your
friend’s worldline. What time do you assign to this event? What time
does your friend assign to this event?

Answer 1

a) See the figure below:

b) See the figure below:

c) See the figure below:

e) I assign time greater than 1 and greater than my friend would assign. My friend would assign time greater than 1 but less than I assigned.