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morrobay
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- Why does delta t = gamma delta t' not equal to 2D /c
No. The point is that the ship and the light pulse travel for the same time duration. The ship travels 0.6 light seconds in the time it takes the light pulse to travel 1 light second. The light pulse does not travel 1 light second, so that distance cannot be 0.6 light seconds.morrobay said:Isn't .6c a distance of .6 light second ? Then just solving the right triangle .
No. The time is not 1 s.morrobay said:Isn't .6c a distance of .6 light second ? Then just solving the right triangle .
Dale said:Your value for D is incorrect. Please show your calculation. Remember 1 ls is a distance and 0.6 c is a speed not a distance. The unlabeled side is not 0.6 ls long.
The distance to mirror in light clock is one light second. So after light reaches mirror in S' the train at .6c seems to me to have traveled .6 light second (rate)(time) .Then it's just solving the right triangle. .6^2 + 1^ 2 = 1.166^2Dale said:No. The time is not 1 s.
So as I said above the time is not 1 s. By this calculation the time is 1.166 s. Do you recognize that?morrobay said:The distance to mirror in light clock is one light second. So after light reaches mirror in S' the train at .6c seems to me to have traveled .6 light second (rate)(time) .Then it's just solving the right triangle. .6^2 + 1^ 2 = 1.166^2
I don't know how you came to that conclusion from my quote, so how about you diagraming a light clock with mirror distance of 1 light second and v= .6c ?Dale said:So as I said above the time is not 1 s. By this calculation the time is 1.166 s. Do you recognize that?
So it travels 0.6 ls in 1.166 s. What is the speed?
What path does the light take? Does the light travel on the vertical path or on the hypotenuse? Based on which path it takes, how long does it take to get there?morrobay said:I don't know how you came to that conclusion from my quote, so how about you diagraming a light clock with mirror distance of 1 light second and v= .6c ?
Your original post shows the light traveling 1.166 ls. The perpendicular distance is 1 ls. How long must the bottom of the triangle be? If the ship traveled that distance in 1.166s (the same time it took light to travel the length of the hypotenuse), how fast was it going?morrobay said:I don't know how you came to that conclusion from my quote, so how about you diagraming a light clock with mirror distance of 1 light second and v= .6c ?
The light path on train is the vertical path . As seen from the observer in S the light path is taking the hypotenuse. Are you actually asking me to explain a light clock ??Dale said:What path does the light take? Does the light travel on the vertical path or on the hypotenuse? Based on which path it takes, how long does it take to get there?
Excellent, that is the observer of interest here. So how much time does it take for the light to travel a hypotenuse which is 1.166 ls distance?morrobay said:As seen from the observer in S the light path is taking the hypotenuse.
Yes. Once you can explain it correctly then you will understand itmorrobay said:Are you actually asking me to explain a light clock ??
The 1.166 light seconds is based on the .6 light seconds. So how is .6/1.166 = .5145 c going to work ?Dale said:Excellent, that is the observer of interest here. So how much time does it take for the light to travel a hypotenuse which is 1.166 ls distance?
If an object travels 0.6 ls distance in that same amount of time, then what is that object's speed?
Yes. Once you can explain it correctly then you will understand it
That argument is valid in reference frame S', because in this reference frame, the time of the light to reach the mirror is 1s. But in reference frame S', that is a moving distance, so the 0,6 LS in S' is a lengths-contracted 0.75 LS distance.morrobay said:Isn't .6c a distance of .6 light second ?
Exactly, it doesn't work. The length of the adjacent side is not equal to 0.6 ls.morrobay said:The 1.166 light seconds is based on the .6 light seconds. So how is .6/1.166 = .5145 c going to work ?
What you have done essentially is confused measurements from the two frames. You need to draw your diagram either:morrobay said:The light path on train is the vertical path . As seen from the observer in S the light path is taking the hypotenuse. Are you actually asking me to explain a light clock ??
From ∆t = gamma ∆t' = 2.50 . Then with hypotenuse 1.25 the distance is indeed .75 LsSagittarius A-Star said:That argument is valid in reference frame S', because in this reference frame, the time of the light to reach the mirror is 1s. But in reference frame S', that is a moving distance, so the 0,6 LS in S' is a lengths-contracted 0.75 LS distance.
A light clock is a thought experiment used in physics to illustrate the concept of time dilation, which is the difference in the passage of time between two observers in relative motion.
A light clock consists of two mirrors facing each other, with a light source bouncing back and forth between them. The time it takes for the light to travel from one mirror to the other and back is measured as one "tick" of the clock.
Delta T, or Δt, represents the difference in time between two observers in relative motion. In a light clock, it is the difference in time between the observer moving with the clock and the observer at rest.
In a light clock, the time it takes for light to travel from one mirror to the other and back is measured as one "tick" of the clock. However, due to the effects of time dilation, the observer moving with the clock experiences a slower passage of time compared to the observer at rest. This results in a difference between Delta T and 2D/c.
The speed of light, denoted as c, is a constant in the theory of relativity. In a light clock, the speed of light is the same for both observers, regardless of their relative motion. This leads to the concept of time dilation, where the observer in motion experiences time passing slower compared to the observer at rest.