A U-shaped tube contains a fluid of density 1.5x10^3 kg/m^3. the right side of the tube is closed, with vacuum above the fluid. The left side of the tube is open to the atmosphere. Assume the atmospheric pressure outside the tube is exactly 10^5 Pa.
a) How much higher will the fluid rise on the right side of the tube compared to the left?
b) Suppose a fan causes the air outside the open end of the tube to start moving at a speed of 10m/s. What will be the value of the height difference now? ( compare the pressure at the open end of the tube to the pressure at a distance point of the same height where the air is at rest)