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1. How many successive velocity increments of e are needed to produce a resultant velocity of 0.99e (Hint: You can do this using the standard form of the velocity addition law in the book. But it is easier if you use the fact that, in terms of the rapidities φ,a, a, defined by : ctanho, u-: c tanha, u =: c tanha, the velocity addition law takes the simple forn。 + φ. If you do it this second way, tanh 0.55 0.5 and tanh 2.65- 0.99 will be useful.)
Throughout this homework assignment, you may use c to denote the speed of light in both your work and final answers without using its numerical value. (This is actually preferred unless the problem requires the numerical value of c.)
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