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A 520g bowl sitting on a table undergoes an explosive force sending pieces off in every...

A 520g bowl sitting on a table undergoes an explosive force sending pieces off in every direction. You were able to collect the following information:

  1. A 100 gram piece had a velocity of 10 m/s at 45 degrees
  2. A 250 gram piece had a velocity of 6 m/s at 135 degrees
  3. You know there has to be another piece. How heavy must the piece be and how fast was its velocity?
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