- 1 Special Relativity Space Time 20 Points A Good Will Race Is Arranged Between Wonder Woman And The Flash Suppose T 1 (156.56 KiB) Viewed 38 times
A good will race is arranged between Wonder Woman and The Flash.
Suppose The Flash and Wonder Woman are initially at rest relative
to the grand stand, and suppose the race track is linear. In the
race, The Flash is given a head start of 6.50×108 meters and
moves at a constant speed of 0.850c. Unhappy with the head start
given to her opponent, Wonder Woman runs at the speed of light, or
at a speed exactly equal to c.
(a) During the race, what is the speed of Wonder Woman from the
point of view of the reference frame of The Flash?
(b) From the frame of reference of the grand stand, how far from
the grand stand (let us specify all spatial coordinates relative to
the grand stand) does Wonder Woman pass the Flash?
(c) From the frame of reference of the grand stand, how much
time elapses between the start of the race and the moment in which
Wonder Woman passes The Flash? Hint: For parts (b) and (c),
one does not need to invoke the principles of Special
Relativity
(d) Write the place and time that Wonder Woman passes The Flash
as a space-time four vector.
(e) Based on your response to (d), at what place and time does
Wonder Womand pass The Flash from the perspective of The Flash’s
reference frame?
1. Special Relativity: space-time (20 Points) A good will race is arranged between Wonder Woman and The Flash. Suppose The Flash and Wonder Woman are initially at rest relative to the grand stand, and suppose the race track is linear. In the race, The Flash is given a head start of 6.50 x 108 meters and moves at a constant speed of 0.850c. Unhappy with the head start given to her opponent, Wonder Woman runs at the speed of light, or at a speed exactly equal to c. (a) During the race, what is the speed of Wonder Woman from the point of view of the reference frame of The Flash? (b) From the frame of reference of the grand stand, how far from the grand stand (let us specify all spatial coordinates relative to the grand stand) does Wonder Woman pass the Flash? (c) From the frame of reference of the grand stand, how much time elapses between the start of the race and the moment in which Wonder Woman passes The Flash? Hint: For parts (b) and (c), one does not need to invoke the principles of Special Relativity (d) Write the place and time that Wonder Woman passes The Flash as a space-time four vector. (e) Based on your response to (d), at what place and time does Wonder Womand pass The Flash from the perspective of The Flash's reference frame?