N identical, stationary, rigid spheres S, (n = 1,2, -.. ,N), each of radius a, are placed along the r-axis with their centres at positions r, such that r, = 2a and the distances between the surfaces of adjacent spheres is b/2". At time t = 0 an identical sphere So, moving in the positive r-direction with speed v, collides elastically with S,. Determine the eventual outcome of this event if the ensuing collisions are also elastic.

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