Problem 2 (20 points): A steady, incompressible jet of water (jet 1) aligned with the horizontal with cross-sectional area $A_1 = 0.015 m^2$ and uniform velocity magnitude $V_1 = 10 m/s$ strikes a stationary block and splits into 2 jets (jet 2 and jet 3) as shown. The upper jet (jet 3) exits the block with a uniform velocity magnitude $V_3 = 10 m/s$ at an angle $\theta$ above the horizontal and has cross-sectional area $A_3 = 0.008 m^2$. The lower jet (jet 2) is aligned in the $-y$ direction with a uniform velocity magnitude $V_2 = 10 m/s$ and has cross-sectional area $A_2$. It is known that the net force acting on the block by the jets is equal to zero in the $y$-direction. Assume that the body forces are negligible, and the same uniform atmospheric pressure acts everywhere on the jets and the block. The density of water is $1000 kg/m^3$.
a. Determine the cross-sectional area of jet 2, $A_2$.
b. Determine the angle $\theta$.
c. Calculate the horizontal force acting on the block by the jets and clearly indicate its direction (left or right).