Please provide all work possible, steps, units and highlight the answer. Thank you!

2. Awater pipe network features a T-joint, as sketched below: u(r) _ V3 _ I. At the inlet (1), the flow is laminar, so the velocity profile is parabolic: u(r) = 1.2(1-(r/R)*) inmis The radius of the inlet pipe, R, is 9.5 mm. The perpendicular branch (2) has a radius of 6.4 mm, while the in-line branch (3) has the same radius as the inlet. The flow rate exiting in-line accounts for 80% of the inlet flow. Treat the system as steady. a. What is the inlet mass flow rate, #71, (in kg/s)? b. What is the average velocity exiting from the perpendicular branch, V2 (in m/s)