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A 29.0-kg body is moving in the direction of the positive x axis with a speed of 398 m/s when, owing to an internal explosion, it breaks into three pieces. One part, whose mass is 8.5 kg, moves away from the point of explosion with a speed of 317 m/s along the positive y axis. A second fragment, whose mass is 3.5 kg, moves away from the point of explosion with a speed of 418 m/s along the negative x axis. What is the speed of the third fragment? Ignore effects due to gravity.

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