At what speed does y= 1.01 (below this speed length contraction and time dilation effects are less than 1%)
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Appearing in the time-dilation and length-contraction formulas, $\gamma_{y}$ is a reasonable measure of the size of relativistic effects. Roughly speaking, at what speed would observations deviate from classical expectations by $1 \% ?$
If relativistic effects are to be less than $1 \%,$ then $\gamma$ must be less than 1.01 . At what relative velocity is $\gamma=1.01 ?$
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(II) At what speed do the relativistic formulas for $(a)$ length and $(b)$ time intervals differ from classical values by 1.00$\%$ ? (This is a reasonable way to estimate when to do relativistic calculations rather than classical.)
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