*Please show all intermediate steps clearly! Two events occur in a frame of refe
ID: 2112384 • Letter: #
Question
*Please show all intermediate steps clearly!
Two events occur in a frame of reference F at time t1 = 3.0 times 10-6 s and at a time t2 = 6.0 times 10-6s. Both events occur at a position x = 1250 m. What are the time coordinates of these events in a frame F' that is moving in the positive x direction at a velocity 0.6c? You may assume the origins of the frames coincided at t = t' = x = x' = 0. Two further events occur in frame F at (x3 = 2000 m, y3 = 0, z3 = 0, t3 = 8 times 10-6 s) and at (x4 = 3000 m y4 = 0, z4 = 0, t4 = 9 times 10-6 s) What are the spatial coordinates of these events in frame F'?Explanation / Answer
c>t'=t/sqrt(1- V^2/c^2)
=>t1'=3*10^-6/sqrt(1-0.6^2) =3.75*10^-6
t2'=6*10^-6/sqrt(1-0.6^2) =7.5*10^-6
d>x'=x/sqrt(1- V^2/c^2)
x1'=2000/sqrt(1-.6^2)=2500
x2'=3000/sqrt(1-.6^2)=3750
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