Work is done on an adiabatic system due to which its velocity changes from $10$ $m/s$ to $20$ $m/s$, elevation increases by $20$ $m$ and temperature increases by $1$ $K$. The mass of the system is $10$ $kg$, $C_v$ = $100$ $J/(kg.K)$ and gravitational acceleration is $10$ $m$/$s^2$. If there is no change in any other component of the energy of the system, the magnitude of total work done (in $kJ$) on the system is _______