An observer is standing on the station platform when a high-speed train passes through at ?=0.9438c. The observer, who measures the platform to be exactly ??=68m, notices that the front and back of the train simultaneously line up exactly with the ends of the platform.
NOTE: For the speed of light, use exactly ?=299792459 m/s
(a) What is the length of the platform, according to an observer on the train?
?′?= mm
(b) What is the length of the train, according to an observer on the train?
?′?= mm
(c) How much time does the observer on the platform measure for the train to pass a single fixed point on the platform?
Δ?=
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