lecture_6

# lecture_6 - An observer in frame S standing at the origin...

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Unformatted text preview: An observer in frame S standing at the origin observes two flashes of colored light separated spatially by ∆ x = 2400 m. A blue flash occurs first, followed by a red flash 5 μ s later. An observer in S’ moving along the x axis at speed v relative to S also observes the flashes 5 μ s apart and with a separation of 2400 m, but the red flash is observed first. Find the magnitude and direction of v . Two spaceships ( A and B ), each measuring 100 m in its own rest frame, travel to each other with speeds of 0.85c relative to Earth. a. How long is each ship as measured by someone on Earth? b. How fast is each ship traveling as measured by an observer on the other? c. How long is one ship when measured by an observer on the other? d. At time t = 0 on Earth, the fronts of the ships are together as they begin to pass each other. At what time on Earth are their ends together? Spacetime Diagrams • When describing events in relativity, it is convenient to represent events on a spacetime diagram. • In this diagram one spatial coordinate x, to specify position, is used and instead of time t , ct is used as the other coordinate so that both coordinates will have dimensions of length.coordinates will have dimensions of length....
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lecture_6 - An observer in frame S standing at the origin...

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