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A hypothetical train moving with aspeed of 0.6 c passes by the platform of a small station without being slowed down. The observes o the platform note that the length of the train is just equal to the length of the platform which is 200 m . (a) Find the rest length of the train(b) Find the length of the platform as measured by the obsevers in the train . |
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Answer» `L' = L (sqrt 1 - V^(2) / c^(2))` L (sqrt 1 - V^(2) / c^(2)) = 200 m / (sqrt 1- (0.6)^(2))` = 250 m. (b) The rest lenth of the platform is 200m. For the observes in the train, the platform is moving at a speed of 0.6c. The length as MEASURED by the observers in the train is , therefore , ` L' = 200m (sqrt 1- (0.6)^(2))=160m`. |
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