Problem II: (25 points total) A horizontal pipe has a varying cross-section, as shown. Water is flowing in the pipe at a rate of 6.55 × 10⁻³ m³/s. The wider portions of the pipe have a cross-sectional area of 40.5 cm², while the constriction has a cross-sectional area of 12.3 cm². You may use
ρwater = 1000 kg/m³
ρmercury = 13.6 × 10³ kg/m³
Part A (5 points): Find the flow speeds at the wide and the narrow portions.
Part B (10 points): Find the pressure difference between these portions.
Part C (10 points): Find the difference in height between the mercury columns in the U-shaped tube.