A 29.8 kg boy stands on a horizontal surface. HINT (a) What is the volume of the boy's body (in m3) if his average density is 987 kg/m3?  m3 (b) What average pressure (in Pa) from his weight is exerted on the horizontal surface if his two feet have a combined area of 1.74 ✕ 10−2 m2?  P

A pipe with a radius of 51 cm has water flowing at 5.3 m/s. If water goes into a new pipe with radius 21 cm, how much will the pressure decrease? ΔΡ- unit Pa

(a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 26.2 m. Assume the density of the water is 1.00 x 103 kg/m3 and the air above is at a pressure of 101.3 kPa. Pa (b) 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? N

(a) A submersible vehicle is in a lake at a depth of 22.2 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 33.0 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) 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 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.

An electrical short cuts off all power to a submersible diving vehicle when it is a distance of 26 m below the surface of the ocean. The crew must push out a hatch of area 0.55 m2 and weight 350 N on the bottom to escape. a)If the pressure inside is 1.0 atm, what downward force must the crew exert on the hatch to open it? Express your answer in newtons.

1a) Calculate the mass of a solid gold rectangular bar that has dimensions lwh = 4.80 cm ✕ 14.0 cm ✕ 23.0 cm. (The density of gold is 19.3 ✕ 103 kg/m3.) kg = 1b) The four tires of an automobile are inflated to a gauge pressure of 2.1  105 Pa. Each tire has an area of 0.024 m2 in contact with the ground. Determine the weight of the automobile.  N =