Simultaneity, Einstein relativity:Beth draws a series of event diagrams depictin
ID: 3307476 • Letter: S
Question
Simultaneity, Einstein relativity:Beth draws a series of event diagrams depicting this situation is as it occurred in her own reference frame. All three Events (F,R and C) appear in her sequence of diagrams...
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In the tutorial Simultaneity, you examined the relativity of simultaneity by considering sparks that jump at both ends of a train that is moving relative to an observer, Alan, while a second observer, Beth, stands at rest relative to the train. Below is a figure showing the relative positions of the observers and the train at the moment that the two sparks jump simultaneously in Alan's frame. As in tutorial, let event F be "spark F jumps and event R be "spark R jumps. (Recall that spark R is at the rear of the train and spark F is at the front of the train.) Rear Front Alan's frame: sparks jump simultaneously at front and back of train. Now imagine that Clover the dog stands facing the front of the train. Startled by the flash, she barks when she sees spark F jump. Let event C be "Clover the dog barks." a. Beth draws a series of event diagrams depicting this situation as it occurred in her own reference frame. All three events (F, R, and C) appear in her sequence of diagrams. If Alan were to draw a series of event diagrams depicting the same situation as it occurred in his rest frame, would you expect all three events (F, R, and C) to appear in his sequence? If not, which event or events would not appear in his sequence? Explain. i. As defined in the tutorial Events and reference frames, an event is associated with a sing location in space and a single instant in time. An event also has the property that observers in all reference frames agree that it occurred, even if they That is, an event that occurs in one reference frame occurs in all reference frames may not agree on its time or location. ii. Is your response to question i above consistent with the idea that events occur in all reference frames? If not, resolve any inconsistencies.Explanation / Answer
(i) In case of Allen both the flash of light will occur at same instant of time as speed of light is constant for a him in rest frame of reference and both the flashes appear simultaneously. But the event C will occur after both the flashes are seen. Thus the order of events will be FR-C, i.e. F and R at same time and C some time later.
(ii) Yes our answer is consistent with the idea that the events occur in all frames of references. Bu their order may vary.