A uniform chain of length \( 3 \, \text{meter} \) and mass \( 3 \, \text{kg} \) overhangs a smooth table with \( 2 \, \text{meter} \) laying on the table. If \( k \) is the kinetic energy of the chain in joule as it completely slips off the table, then the value of \( k \) is ________. (Take \( g = 10 \, \text{m/s}^{2} \))
