15-85. A ball is thrown onto a rough floor at an angle of

Chapter 15, Problem 15-85

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A ball is thrown onto a rough floor at an angle of \(\theta=45^{\circ}\). If it rebounds at the same angle \(\phi=45^{\circ}\), determine the coefficient of kinetic friction between the floor and the ball. The coefficient of restitution is \(e=0.6\). Hint: Show that during impact, the average impulses in the x and y directions are related by \(I_{x}=\mu I_{y}\). Since the time of impact is the same. \(F_x\ \Delta t=\mu F_y\ \Delta t\text{ or }F_x=\mu F_y\).

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