(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 use relativistic calculations rather than classical.)

Step-by-step solution

Step 1 of 2 </p>

For a 1.00% change, the factors in the expressions for time dilation and length contraction

= 1- 0.01 = 0.9900