a Exercise 4 (9 points): Addition of velocities Consider a mass point moving with velocity ū with respect to the inertia

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A Exercise 4 9 Points Addition Of Velocities Consider A Mass Point Moving With Velocity U With Respect To The Inertia 1 (92.66 KiB) Viewed 74 times

a Exercise 4 (9 points): Addition of velocities Consider a mass point moving with velocity ū with respect to the inertial system I'. 4.1 What is its velocity ū with respect to an inertial system I if I' moves with velocity v against I? Show that the result can be written as (in units where c = = 1) 根B2 (0) Ō + + ū= 1+7. where and w' denote the parallel and orthogonal components of ū' with respect to 7, respectively. Discuss the special cases 7 || w' and 71W'. 4.2 Show that ū=1- (1 – 72) (1 – 72) <1. (1+• )? When does the equality hold? Discuss the limiting case w' -1-.