According to clocks on the ground (system S), streetlights A and B (situated 4 km apart) were both turned on at precisely 8:00 PM. Which one went on first according to an observer on a train (system S'), which moves from A towards B at 3/5 the speed of light? How much later (in seconds) did the other light go on? [Note: As always in relativity, we are talking here about what S'observed, after correcting for the time it took the light to reach her, not what she actually saw (which would depend on where she was located on the train)]

According to clocks on the ground (system S), streetlights A and B (situated 4 km apart) were both turned on at precisely 8:00 PM. Which one went on first according to an observer on a train (system S'), which moves from A towards B at 3/5 the speed of light? How much later (in seconds) did the other light go on? [Note: As always in relativity, we are talking here about what S'observed, after correcting for the time it took the light to reach her, not what she actually saw (which would depend on where she was located on the train)]

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

I need help on question 7?
Imagine a spaceship approaching Earth at speed v=(0.75c) c, which sends a message capsule toward Earth at speed 0.1 00c (relative to the ship). Calculate the speed of the capsule relative to Earth in terms of c.
I am so confused on relative length and proper length. is it 7.07 or 70.7?
I need help on question 7?
I need help on question 9?
You and vouur archenemy pass each other in rockets that are each traveling 0.2c relative to the other. You observe that your rocket (which you have measured to be 281 m Jong ten times as long as your archenemy's spaceship. How long is your rocket in your archenemy's frame? How long is your archenemy's rocket in their frame?
A rocket measures 100 m long in its own frame (S') and is travelling at 0.995c relative to a frame S. At the tail of the rocket, a laser sends out a pulse of light which is reflected by a mirror at the nose of the rocket. (a) At what time after emission, measured in S', does the light pulse arrive back at the tail of the rocket? (b) At what time after emission, measured in S, does the light pulse arrive back at the tail of the rocket? (c) What is the spatial distance, measured in S, between the emis- sion of the pulse and its arrival back at the tail of the rocket? (d) At what time after emission, measured in S, does the light pulse hit the mirror? (e) What is the spatial distance, measured in S, between the emis- sion of the pulse and its hitting the mirror? (f) Can you conclude from your answers that the light pulse travelled at a different speed, as seen in S, on its way to the mirror than on the way back? If not, explain your results
A newly constructed spaceship has a length of 100.0 m (as measured in the rest frame). This spaceship departs the Earth, bound for a distant planet located a distance D = 50.0 light-years away from the Earth. It travels at a constant speed of v = 0.900c. Part A) As measured by Mission Control on Earth, how long does the journey take? Enter the numerical value in units of years. Part B) According to an astronaut on the spaceship, how long does the journey take? Enter the numerical value in units of years. Part C) As measured by Mission Control on Earth, what is the spaceship's apparent length? Enter the numerical value in SI units
Two radar pulses sent from the earth at 6:00 am and 8:00 am one day bounce off an alien spaceship and are detected on earth at 3:00 pm and 4:00 pm (but you aren’t sure which reflected pulse corresponds to which emitted pulse). Is the spaceship moving toward earth or away? If its speed is constant (but less than c), when will it (or did it) pass by the earth? (please draw a spacetime diagram.)
In the Marvel comics universe, Quicksilver is awfully fast. Let's say he can run at a velocity of 0.74c. He measures a trip as having a distance of 1.36e+05 m. How much time does Quicksilver measure this trip as taking? Does Quicksilver measure the proper or dilated time? Quicksilver's sister, Wanda Maximoff, is standing stationary near where he is running. How much time does Wanda measure this trip as taking? S What distance does Wanda measure for Quicksilver's trip? m