A nozzle $4$ $mm$ in diameter is used to create a water jet with velocity of $12$ $m/s$. If this jet is directed into a "U" shaped pipe so as to reverse the direction of the jet, calculate the force exerted by the jet on the pipe. The density of water is $1000$ $kg/m^3$.

A. $1.3N$
B. $1.8N$
C. $2.5N$
D. $3.6N$
E. $7.2N$