The coefficient of restitution a for a head-on collision is defined as the ratio of the relative speed after the collision to the relative speed before.
(a) What is for a completely inelastic collision?
(b) What is" for an elastic collision?
(c) A ball is dropped from a height h onto a station surface and rebounds back to a height HI' Show that =√H`/h.
(d) A properly inflated basketball should have a coefficient of restitution of 0.85. When dropped from a height of 1.2 m above a solid wood floor, to what height should a properly inflated basketball bounce?
(e) The height of the first bounce is HI' If " is constant, show that the height of the nth bounce is Hn = ε2nh
(f) If ε is constant, what is the height of the eighth bounce of a properly inflated basketball dropped from l.2m?