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5. In your own words, define what is meant by time dilation in spe-
cial relativity theory. Provide a similar definition for length contrac-
tion. Give an example in which the effects of time dilation are actu-
ally observed.
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and v= plane speed. 13.3 Time Dilation and Length Contraction 30. A rod lying parallel to and moving parallel to the x axis with a speed of 0.80c has a proper length of 1.0 m. What is its length in the rest frame? 31. A spaceship appears to be shortened to one-third of its proper length. What is its relative speed? CHAPTER 13: The
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A way to measure the length of an object moving at known(relativistic) speed is to measure the interval between the passage of referencepoints past an observer. By considering the times at which the leading and trailling ends of a moving rod pass an observer, and applying Lorentz transformations,show that the same expression for length contraction as : L=yo-1L' is obtained,draw a spacetime diagram if needed
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In some experiment, we found the fast meson’s velocity is vf=0.9999c while the slow meson’s velocity is vs=0.9955c. Using unit of c in this problem. (leave two decimal places of your result, i.e. like 1.23) (a) Calculate the ratio of the fast meson's lifetime in the laboratory frame to the slow meson's lifetime in the laboratory frame. (b) Calculate the ratio of the fast meson's decay length to the slow meson's decay length.
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what is the coordinates of event O' moving with velocity -0.8c . if its coordinates relitive to rest opserver O is : ( 100km , 10km , 1km , 5*10-4 s )