Coefficient of restitution

Reference no: EM131012861

In many sports, the collision between a ball and a striking implement is central to the game. Suppose the ball has weight w and velocity v before the collision and the striker (bat, tennis racket, golf club, etc.) has weight W and velocity -V before the collision (the negative indicates the striker is moving in the opposite direction from the ball). The velocity of the ball after the collision will be (u = ((W V [1 + c] + v [c W - w]) / (W + w))), where the parameter c, called the coefficient of restitution, represents the "bounciness"? of the ball in the collision. Compute du/dw and explain its meaning. (simplify du/dw as much as possible).

Reference no: EM131012861

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