You are watering your garden with a hose that has a $3 / 4 \mathrm{in}$. ID, and the water is flowing at a rate of $10 \mathrm{gpm}$. A nozzle attached to the end of the hose has an ID of $1 / 4 \mathrm{in}$. The loss coefficient for the nozzle is 20 based on the velocity in the hose. Determine the force (magnitude and direction) that you must apply to the nozzle in order to deflect the free end of the hose (nozzle) by an angle of $30^{\circ}$ relative to the straight hose.