A ball bounces the best when it springs back after being compressed,
trading the potential energy it gets when squeezed back again for
kinetic energy of motion. Balls that bounce the least well absorb some
of the energy and heat up or make a noise.
Good materials for bouncy balls are rubber and substances like
rubber (like the stuff they make superballs out of, for instance). You
can make a nice bouncy ball by inflating a hollow rubber ball with air
at high pressure. Air is springy -- squeeze it and it pushes back,
absorbing very little of the energy. Tennis balls, racquetballs and
basketballs are examples of bouncy inflated rubber balls. If the ball
is not fully inflated, it can be less bouncy. The reason for this is
that the rubber walls deform and change shape more, heating up and
making a noise, absorbing more energy, when the ball doesn't have
enough air pressure inside.
Stiff balls that do not deform much also can be bouncy on stiff
surfaces. Ping-pong balls are an example, and are made of stiff
plastic. A solid steel ball bouncing on a solid steel floor is
remarkably bouncy. But if the floor is soft (say, made of unvarnished
wood or something even softer), then the steel ball may just fall with
a thud.
The bounciness of a ball depends on what the ball and the floor
are made out of (and how well inflated the ball is), and does not
depend on the height. A ball should bounce to some fraction of its
initial height, and this fraction shouldn't depend too much on the
initial height. If you drop a fragile ball from too high on a hard
surface, it might tear or break, though.
Tom
(published on 10/22/2007)