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Question
Plans for an accelerator that produces a secondary beam of K-mesons to scatter from nuclei, for the purpose of studying the strong force, call for them to have a kinetic energy of 500 MeV. (a) What would the relativistic quantity $\gamma = \dfrac{1}{\sqrt{1 - v^2/c^2}}$ be for these particles? (b) How long would their average lifetime be in the laboratory? (c) How far could they travel in this time?
1. $2.01$
2. $2.50\times 10^{-8}\textrm{ s}$
3. $6.49\textrm{ m}$
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