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Benzoate
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Homework Statement
Supersonic jets achieve maximum speeds of about (3 *10^-6)*c.
By what percentage would observe such a jet to be contracted in length?
Homework Equations
The equations for these this problem would be : 1/gamma= L(proper)/Length = 1/sqrt(1-v^2/c^2) ; beta=v/c
The Attempt at a Solution
1/sqrt(1-(v/c)^2)^.5 => 1/sqrt(1-(beta)^2)= 1/sqrt(1-(3e-6)^2)^.5=1=gamma; which leads to gamma=1=L(proper)/Length or L = (1/gamma)*L(proper) = > L=L(proper) leading me to the conclusion that the length of the jet did not contract at all .