Chapter 26, Problem 56GP

According to the special theory of relativity, the factor $\gamma$ that determines the length contraction and the time dilation is given by $\gamma =1/\sqrt{1-v^2/c^2}$

Determine the numerical values of $\gamma$ for an object moving at speed v= 0.01c_: 0.05c, 0.10c, 0.20c_: 0.30c_; 0.40c, 0.50c_: 0.60c_; 0.70c, 0.80c, 0.90c, 0.95c, and 0.99c. Make a graph of $\gamma$ versus v.