3. (based on Problem 15.85)
A ball is thrown onto a (fixed) rough floor at an angle of $\theta$ = 40.
a) If it is observed to rebound at an angle, $\phi$ = 30°, determine
the coefficient of restitution assuming that frictional effects
are negligible.
b) If frictional effects are assumed negligible, and the speed of
the ball immediately before impact is given as 15 ft/s,
determine the speed of the ball immediately after the impact for the conditions given in part a).
c) If it is known that the coefficient of restitution is 0.5, determine the coefficient of friction for the
collision assuming that the effects of friction cannot be neglected.
d) If it is assumed that frictional effects are important, and the coefficient of restitution is that
given in part c), and hence the friction coefficient is that found in part c), determine the speed of
the ball immediately after the collision (when it has separated from the ground) if the speed of
the ball immediately before impact is 15 ft/s.
