In a horizontal pipe with a gradually decreasing cross-section (in the direction of flow) there is a clear fluid of unknown density. The pressure at point P is higher than the pressure at point Q by 260 Pa. A technician measures the fluid's velocity at point P as 0.37 m/s, and that at point Q as 0.77 m/s. What is the density of this clear fluid, in kg/m^3?

Jasmine is diving off a 3-meter springboard. her height in meters above the water when she is x meters horizontally from the end of the board is approximated by the equation h=-x^2+3x+3. what is the maximum height jasmine will reach on her dive?

Blank liquids and gases exert a buoyant force on objects placed in them

Air initially at 0.75 bar, 1000 k, and occupying a volume of 0.12 m^3 undergoes two processes. process 1-2: the air is compressed isothermally until the volume is halved. process 2-3: the air undergoes a constant pressure process until the volume is halved again. assume ideal gas behavior. a) determine the mass of the air, in kg. b) the work and the heat transfer for each of the two processes, in kj. (100 kj = 1 bar . m^3)