A cosmic ray travels through the earth’s atmosphere in , as measured by experimenters on the ground. How long does the journey take according to the cosmic ray?
t' = 346.4 micro sec
We Know ;
v = d/t = 60000 / ( 400 * 10 ^ -6 ) = 1.5 * 10 ^ 8 m/s
t' = t * sqrt [ 1 - ( v / c) 2 ]
t' = 400 * 10 ^ 6 * sqrt ( 1 - ( (1.5 * 10 ^ 8 / (3 * 10 ^8) ) ^ 2 )) = 346.4 * 10 ^ -6s = 346.4 micro sec
FIGURE Q36.6 shows a rocket traveling from left to right. At the instant it is halfway between two trees, lightning simultaneously (in the rocket’s frame) hits both trees.
a. Do the light flashes reach the rocket pilot simultaneously? If not, which reaches her first? Explain.
b. A student was sitting on the ground halfway between the trees as the rocket passed overhead. According to the student, were the lightning strikes simultaneous? If not, which tree was hit first? Explain.
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