Two passenger trains A and B, each 240 m long, pass a 40 m long railroad platfor

Question

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.)

please please .. answer with work gives helpful, answer with workand logical explanation gives lifesaver

Explanation / Answer

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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