A 0.25-lb ball thrown with a horizontal velocity v0

Chapter 13, Problem 13.176

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A 0.25-lb ball thrown with a horizontal velocity \(v_{0}\) strikes a 1.5-lb plate attached to a vertical wall at a height of 36 in. above the ground. It is observed that after rebounding, the ball hits the ground at a distance of 24 in. from the wall when the plate is rigidly attached to the wall (Fig. 1) and at a distance of 10 in. when a foam-rubber mat is placed between the plate and the wall (Fig. 2). Determine (a) the coefficient of restitution e between the ball and the plate, (b) the initial velocity \(v_{0}\) of the ball.

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