Water at $68^{\circ} \mathrm{F}$ is flowing through a $45^{\circ}$ pipe bend at a rate of $2000 \mathrm{gpm}$. The inlet to the bend is $3 \mathrm{in}$. ID, and the outlet is $4 \mathrm{in}$. ID. The pressure at the inlet is $100 \mathrm{psig}$, and the pressure drop in the bend is equal to half of what it would be in a 3 in. $90^{\circ}$ elbow. Calculate the net force (magnitude and direction) that the water exerts on the elbow.