In a system two particles of masses \( m_{1} = 3 \, \text{kg} \) and \( m_{2} = 2 \, \text{kg} \) are placed at certain distance from each other. The particle of mass \( m_{1} \) is moved towards the center of mass of the system through a distance \( 2 \, \text{cm} \). In order to keep the center of mass of the system at the original position, the particle of mass \( m_{2} \) should move towards the center of mass by the distance ____________ \( \text{cm} \).
