We now want to consider the length of the path the light traversesin the clock from the point of view of an observer in referenceframe S. One expression for the length of this path is simply: L(s)= t(s)c/2 --that is, the length of the path is simply the distancethat light travels in one half-tick.
Use geometry to find another expression for the length of a one-waytrip L(s) (e.g., from the source to the top mirror) according tothis observer.
Express your answer in terms of the time t(s), v, and L.
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What is the time t(s) between the ticks of the light clock asviewed from reference frame S?
Express the time of these ticks in terms of t(0) (the ticks in theframe of the clock), the relative speed v, and the speed of lightc.
We now want to consider the length of the path the light traversesin the clock from the point of view of an observer in referenceframe S. One expression for the length of this path is simply: L(s)= t(s)c/2 --that is, the length of the path is simply the distancethat light travels in one half-tick.
Use geometry to find another expression for the length of a one-waytrip L(s) (e.g., from the source to the top mirror) according tothis observer.
Express your answer in terms of the time t(s), v, and L.
____________________________________________________
What is the time t(s) between the ticks of the light clock asviewed from reference frame S?
Express the time of these ticks in terms of t(0) (the ticks in theframe of the clock), the relative speed v, and the speed of lightc.