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• Consider the collision between the two billiard balls of Fig. 2.1. Table 2.1 gives the four velocities measured in frame S. (a) Use the classical velocity-addition formula, Eq. (1.41), to verify that the velocities measured in S′ would be as given in Table 2.2 if S and S′were related classically. (b) Verify that the correct relativistic answers given in Table 2.3 reduce to the values of Table 2.2 if all speeds are much less than c.
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