Problem: Relativistic train passing through a tunnel. The earth Observation is a 30 m train passing through a tunnel of

[answerhappygod]

Problem Relativistic Train Passing Through A Tunnel The Earth Observation Is A 30 M Train Passing Through A Tunnel Of 1 (44.07 KiB) Viewed 60 times

Problem Relativistic Train Passing Through A Tunnel The Earth Observation Is A 30 M Train Passing Through A Tunnel Of 2 (55.56 KiB) Viewed 60 times

Problem Relativistic Train Passing Through A Tunnel The Earth Observation Is A 30 M Train Passing Through A Tunnel Of 3 (55.56 KiB) Viewed 60 times

Problem Relativistic Train Passing Through A Tunnel The Earth Observation Is A 30 M Train Passing Through A Tunnel Of 4 (41.61 KiB) Viewed 60 times

Problem: Relativistic train passing through a tunnel. The earth Observation is a 30 m train passing through a tunnel of the same length at a velocity of 0.BC (Minkowski diagram is shown on the left of the Figure. The blue area is the trajectory or world region of the train, analogous to a world line for a point. The yellow area is the tunnel and the green area is the intersection of the train and the tunnel, which identifies four particular events Event A is the front of the train emerging from the tunnel exit and event is the disappearance of the rear of the train into the tunnel entrance. Event is the front of the train at the tunnel entrance and event is the rear of the train emerging from the tunnel ext. Tail 00 Head 20 M 0 0.8c $9 $$ Tai Head 0.8 Bach 50 Prof. G. Barro PHYS 57 University of the Pacific 1) Reproduce both panels of Figure 1 using a computer code 2) Fill the following table train interval event location C front of train at tunnel entrance A front of train at tunnel excit 8 rear of train at tunnel entrance Dear of train at tunnel exit 3) What is the proper length of the tunnel as measured by the train observer? What is the proper length of the train as measured by the observer on the tunnel? 4) What is the proper train-passage time measured by a stationary clock located on the earth at the entrance for exit of the tunnel, what is the proper tunnel-transit time as measured with a stationary clock located on the front for rear of the train? 5) What is the relative velocity of the two systems measured asathe tunnel length divided by the tunnel-transit time, by the train length divided by the train passage time?

Problem: Relativistic train passing through a tunnel. The earth Observation is a 30 m train passing through a tunnel of the same length at a velocity of 0.8C (Minkowski diagram is shown on the left of the Figure). The blue area is the trajectory or world region of the train, analogous to a world line for a point. The yellow area is the tunnel and the green area is the intersection of the train and the tunnel, which identifies four particular events. Event A is the front of the train emerging from the tunnel exit and event B is the disappearance of the rear of the train into the tunnel entrance. Event C is the front of the train at the tunnel entrance and event D is the rear of the train emerging from the tunnel exit. 100 80 Front Back Tail 60 75 Head 40 50 20 25 0 $ 0. -20 -25 € v=0.8c -40 -50 -60 v=0.8C Back Head -75 Tail -100 -100 -75-50 -80 Front -75 25 0 ਹੈ - T's -25 O 18 50 75 100

1) Reproduce both panels of Figure 1 using a computer code. 2) Fill the following table earth train interval event location C front of train at tunnel entrance А front of train at tunnel exit B rear of train at tunnel entrance D rear of train at tunnel exit 3) What is the proper length of the tunnel as measured by the train observer? What is the proper length of the train as measured by the observer on the tunnel? 4) What is the proper train-passage time measured by a stationary clock located on the earth at the entrance (or exit) of the tunnel?, what is the proper tunnel-transit time as measured with a stationary clock located on the front (or rear) of the train?. 5) What is the relative velocity of the two systems measured as: a) the tunnel length divided by the tunnel-transit time, b) the train length divided by the train-passage time?