Anton is seated on a train that moves with constant velocity relative to the gro

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Anton is seated on a train that moves with constant velocity relative to the ground...

Anton is seated on a train that moves with constant velocity relative to the ground. Barry stands at rest on the ground. Both are intelligent observers. Imagine drat there is a grid of meter sticks and clocks at rest with respect to the train, and another grid of meter sticks and clocks at rest with respect to the ground. A small beeper is somewhere on the train, and is about to emit a beep. Define event 1 as "the beeper beeps." The time and location of event 1 are recorded by the closest recording dock on the train to be (t_1^(train), x_1^(train). The time and location of event 1 are recorded by the closest recording clock on the ground to be (t_1^(ground), x_1^(ground). Would Anton measure the time and location of event 1 as (t_1^(train), x_1^(train), (t_1^(ground), x_1^(ground), or as some other time and location? Explain. Would Barry measure the time and location of event 1 as (t_1^(train), x_1^(train), (t_1^(ground), x_1^(ground), or as some other time and location? Explain. Recall that in the tutorial Events and reference frames, an intelligent observer is defined as a person who measures the time and location of events by using a grid of meter sticks and synchronized clocks that is at rest with respect to him or her. Check that your answers to parts a and b, above, are consistent with this definition of intelligent observer.

Explanation / Answer

a)    Anton measure time and location of event 1   as ( t1(train) , x1(train) )   . This is due to its relative velocity with respect to ground .

b)    Barry measure time and location of event 1   as ( t1(ground) , x1(ground) ) .

c)   Answers in parts a and b are consistent with definition of intelligent observer .

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