Given: A person is diving in a lake in the depth of h = 8.5 m. The density of the water is ρ = 1.0 x103 kg/m3. The pressure of the atmosphere is P0 = 1.0 x 105 Pa. The surface area of the top of the person's head is A = 0.0485 m2 Express the absolute pressure at the depth of h, P, in terms of P0, ρ, and h.  Calculate the numerical value of P in Pa Express the magnitude of the force exerted by water on the top of the person's head F at the depth h in terms of P and A.  Calculate the numerical value of F in N.

Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 31.2 m. Assume the density of the water is 1.00 ✕ 103 kg/m3 and the air above is at a pressure of 101.3 kPa. What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 31.0 cm?

An empty graduated cylinder weighs 64.50 g. To this was added 32.0 mL of water (d= 1.00 g/cm³). An irregular piece of lead is submerged in the water, bringing the total volume to 57.4 mL. The mass of the cylinder and all the contents was 406.50 g. Calculate the density of the lead. O 13.5 g/cm3 O 12.20 g/cm3 O 12.2 g/cm3 O 12.2

A person is diving in a lake in the depth of h = 10.5 m. The density of the water is ρ = 1.0 x103 kg/m3. The pressure of the atmosphere is P0 = 1.0 x 105 Pa. The surface area of the top of the person's head is A = 0.0335 m2.  a. Express the absolute pressure at the depth of h, P, in terms of P0, ρ, and h.  b. Calculate the numerical value of P in Pa.  c. Express the magnitude of the force exerted by water on the top of the person's head F at the depth h in terms of P and A.  d.  Calculate the numerical value of F in N.

(a) A submersible vehicle is in a lake at a depth of 32.4 m. What is the absolute pressure (in Pa) at this depth? The density of the water in the lake is 1.00 ✕ 103 kg/m3, and the air above is at a pressure of 101.3 kPa.   (b) The submersible vehicle has a circular window with a diameter of 40.0 cm. What force (in N) is exerted by the water on the window of the vehicle at the depth from part (a)? (Enter the magnitude.)

The pressure at the bottom of a cylindrical container with a cross-sectional area of 49.0 cm2 and holding a fluid of density 560 kg/m3 is 115 КРа. (a) Determine the depth of the fluid. m (b) Determine the pressure at the bottom of the container if an additional 3.00 x 103 m3 of this fluid is added to the container. (Give your answer to at least 3 significant figures.) kPa

A vessel contains oil (density = 0.8 g/cm³) over mercury (density = 13.6g/cm³). A homogeneous sphere floats with half its volume immersed in mercury and the other half in oil. The density of the material of the sphere in g/cm³ is

(a) A submersible vehicle is in a lake at a depth of 26.6 m. What is the absolute pressure (in Pa) at this depth? The density of the water in the lake is 1.00 ✕ 103 kg/m3, and the air above is at a pressure of 101.3 kPa. ____Pa   (b) The submersible vehicle has a circular window with a diameter of 40.0 cm. What force (in N) is exerted by the water on the window of the vehicle at the depth from part (a)? (Enter the magnitude.) ____ N

(a) Calculate the absolute pressure at an ocean depth of 120 m. Assume the density of sea water is 1 021 kg/m³ and the air above exerts a pressure of 101.3 kPa. Pa (b) At this depth, what is the buoyant force on a spherical submarine having a diameter of 5.20 m? N

A submersible vehicle is in a lake at a depth of 32.0 m. What is the absolute pressure (in Pa) at this depth? The density of the water in the lake is 1.00 ✕ 103 kg/m3, and the air above is at a pressure of 101.3 kPa.   Pa (b) The submersible vehicle has a circular window with a diameter of 32.0 cm. What force (in N) is exerted by the water on the window of the vehicle at the depth from part (a)? (Enter the magnitude.)