el a ball is thrown onto a rough floor at an angle 8 if it rebounds at
El. A ball is thrown onto a rough floor at an angle 8. If
it rebounds at an angle and the coefficient of kinetic
friction is u, determine: (a) the coefficient of restitution e.
(b) Further simplify the expression if 0 = = 45°. (c) From
the previous part, determine the coefficient of friction u if e
= 0.6. Neglect the size of the ball. Hint: Show that during
impact, the average impulses in the x and y directions are
related by Ix = μly. Since the time of impact is the same,
FAt = μF, At or F₂ = µFy.
E2. The four smooth balls each have the same mass m. If A
and B are rolling forward with velocity v and strike C, explain
why after collision C and D each move off with velocity v. Why
doesn't D move off with velocity 2v? The collision is elastic, e
= 1. Neglect the size of each ball.
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