A baseball pitcher is employing a ballistic pendulum to determine the speed of his fastball. A 3.3-kg lump of clay is suspended from a cord 2.0 m long. When the pitcher throws his fastball aimed diretly at the clay, the ball suddenly becomes embedded in the clay and the two swing up to a maximum height of 0.080. If the mass of the baseball is 0.21kg, find the speed of the pitched ball.
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