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A ball of mass $3$ kg moving with a velocity of $4 \:m/s$ undergoes a perfectly-elastic direct-central impact with a stationary ball of mass $m$. After the impact is over, the kinetic energy of the $3$ kg ball is $6$ J. The possible value(s) of $m$ is/are

  1. $1$ kg only
  2. $6$ kg only
  3. $1$ kg, $6$ kg
  4. $1$ kg, $9$ kg
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