Solved: The elements of a device designed to measure thecoeffi cient of restitution of

Chapter 3, Problem 3/354

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The elements of a device designed to measure the coefficient of restitution of bat–baseball collisions are repeated here from Prob. 3 /265. The 1-lb “bat” A is a length of wood or aluminum which is projected to the right with a speed \(v_{A}=60\) ft /sec and is confined to move horizontally in the smooth slot. Just before and after the moment of impact, body A is free to move horizontally. The baseball B weighs 5.125 oz and has an initial speed \(v_{B}=125\) ft /sec. Determine the immediate post-impact speed \(v_{B}^{\prime}\) of the baseball and the resulting horizontal distance R traveled by the baseball over the range \(0.4 \leq e \leq 0.6\), where e is the coefficient of restitution. The range is to be calculated assuming that the baseball is initially 3 ft above a horizontal ground.