Two passenger trains A And B, each 240m long, pass a 50m long railroad in winnep

Question

Two passenger trains A And B, each 240m long, pass a 50m long railroad in winnepeg. the trains are mving in opposite direction at equal speeds of 0.565c with respect to the ground. train A is travling west and all tracks are perfectly straight. the winnepeg stationmaster knowing the speed of train A measures its legth as it passes him by measuring the difference between the arrival times of the front of the train and the rear of the train. how long does the train seem to be?

B)what is the difference arrival time?

C)a passenger on train A measures the length of the winnepeg platform by a similar method. how long does she take to travel from one end of the platform to the other?

D)how long does it take train B to pass the passenger on train B?

E)according to clocks in the station and on both trains 12:00 noon when both trains arrive in winnepeg. how long many seconds later should the stationmaster in vancouver 1900km to the west expect train A to arrive?

F) how long will the trip from winnipeg to vancouver take according to a clock on train A?

Explanation / Answer

here is what i solved before..........

Two passenger trains A and B, each 240 mlong, pass a 40 m long railroad platform in Winnepeg. Thetrains are moving in opposite directions at equal speeds of 0.500cwith respect to the ground. Train A is traveling west and alltracks are perfectly straight. The Winnepeg stationmaster, knowingthe speed of train A, measures its length as it passes him bymeasuring the difference between the arrival times of the front ofthe train and the rear of the train. Fromthe point of view of a passenger on train A, how fast is train Bmoving? (Give your answer as a fraction of the speed of light, e.g.if you get 0.952c, you enter 0.952.)

Length of each train is L = 240 m

length of the platform L ' = 40 m

Speed of each train with respect to ground v = 0.5c

Speed of train B with respect to train A is v ' = [ v +v ] / { 1+ ( v* v / c ^ 2 )}

                                                                  = c / { 1+ 0.25 }  

                                                                  = 0.8 c      

(b). required Length L " = L ?[ 1- ( v ' /c ) ^ 2 ]

                                     = 144 m

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