What is the height of a column of liquid in a barometer if the density of the liquid is 0.6460 g/mL and the local atmospheric pressure is 0.8100 bar? Note that the gravitational force on the liquid column divided by the cross sectional area of the column must be equal to the atmospheric pressure.

A plastic sphere floats in water with 35.0% of its volume submerged. This same sphere floats in glycerin with 27.9% of its volume submerged. (a) Determine the density of the glycerin. (b) Determine the density of the sphere.

A person is laying flat on their stomach while tanning at the beach. What is the force on the person's back from the pressure of the atmosphere? Approximate the surface of the person's back as a 0.6 m x 0.5 m rectangle and recall that atmospheric pressure is Patm = 1.01 x 105 N/m2.

You place an open bottle filled with olive oil (density 880 kg/m^3) in a container filled with water so that the surfaces of both liquids are at the same level. The bottle has a hole in it 18cm below the surface that is initially closed with adhesive tape, as shown in (Figure 1).       Determine the vertical distance Δh between the oil surface and water surface after the tape is removed and the equilibrium is reached. Assume that the volume of water is much greater than the volume of olive oil, so that the decrease in the water level is negligible.