Special relativity, time dilation and rockets

AI Thread Summary
The discussion centers on a physics problem involving special relativity and time dilation as a rocket travels between two points 100 meters apart. The calculated time interval in the Earth’s rest frame, Δte, is determined to be 5.56 x 10^(-7) seconds. Using the time dilation formula, the time interval measured on the rocket's clock, Δtr, is found to be 6.94 x 10^(-7) seconds. Participants confirm the calculations appear correct, expressing confidence in the results. The problem effectively illustrates the principles of time dilation in relativistic motion.
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Homework Statement



Lights are placed at points A and B, which are 100m apart as measured in the rest frame of the earth. As a rocket moving at speed v = 3/5c, passes point A the light turns on. As the rocket passes point B, the second light turns on.
As read on the rockets clock, the time difference between the events was Δtr. Clocks synchronized in the rest frame of the Earth measure a time interval Δte between the events.

a) Determine Δte.
b) Determine Δtr using time dilation.

Homework Equations



Δte = d/v (where d = 100m)

Δtr = 1/sqrt(1-(v/c)^2)Δte


The Attempt at a Solution



Δte = 5.56 x 10^(-7) s
Δtr = 6.94 x 10^(-7) s

However I'm unsure as to whether I've used the right times for the different values of t.
 
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looks good to me, i got the same answers
 

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