Water flows through a $45^{\circ}$ expansion pipe bend at a rate of $200 \mathrm{gpm}$, exiting into the atmosphere. The inlet to the bend is $2 \mathrm{in}$. ID, the exit is $3 \mathrm{in}$. ID, and the loss coefficient for the bend is 0.3 based on the inlet velocity. Calculate the force (magnitude and direction) exerted by the fluid on the bend relative to the direction of the entering stream.