8.13 Beads of equal mass are strung at equal distances on a long,
horizontal wire as shown in Figure 7. The beads are initially at rest but can move without friction. One of the beads is continuously accelerated (towards the right) by a
constant force F. What are the speeds of the accelerated bead and the front
of the 'shock wave', after a long time, if the collisions of the beads are:
(i) completely inelastic,
(ii) perfectly elastic?