A child playing in a swimming pool realizes that it is easy to push a small inflated ball under the surface of the water whereas a large ball requires a lot of force. The child happens to have a styrofoam ball (the shape of the ball will not distort when it is forced under the surface), which he forces under the surface of the water. If the child needs to supply 5.00 x 102 N to totally submerge the ball, calculate the diameter d of the ball. The density of water is pw = 1.000 x 10 kg/m³, the density of styrofoam is Pfoam = 95.0 kg/m³, and the acceleration due to gravity is g = 9.81 m/s². d = m

A 700 N lady wearing stilettos walks with one foot on the ground. Find the pressure exerted on the ground by the lady assuming her entire weight is supported by one heel. The area of the heel is 2.00 cm2. Compare this to the pressure exerted by 30,000 N elephant that walks with two feet. The total area of the feet is 560 cm2.

(a) A man weighing 742 N lies on a bed of nails. Find the average pressure exerted by a nail on his skin if there are 1110 nails and the flattened point on each nail has a radius of 0.500 mm.(b) Calculate the pressure exerted on the skin by an acupuncture needle of radius 0.100 mm applied with a force of 4.20 N.

A lost shipping container is found resting on the ocean floor and completely submerged. The container is 6.3 m long, 2.9 m wide, and 2.9 m high. Salvage experts attach a spherical balloon to the top of the container and inflate it with air pumped down from the surface. When the balloon's radius is 1.6 m, the shipping container just begins to rise towards the surface. What is the mass of the container? Ignore the mass of the balloon and the air within it. Do not neglect the buoyant force exerted on the shipping container by the water. The density of seawater is 1025 kg/m³. Number i Units

The water pressure acting on a submarine at depth is 2.6 x 106 Pa.  What is the magnitude of the force (in kN) that acts on a hatch door with an area of 0.87 m2

it’s a lovely day and you decide to launch a giant helium balloon. Once filled, your balloon is a perfect sphere with a radius of 6.90 m. You consider having the balloon lift a crate of water balloons. What is the maximum weight the filled helium balloon can just lift (solve for the equilibrium condition where upward force equals downward force)? Assume that the membrane of the helium balloon has a mass of 920 kg (this does not include the mass of the helium within nor the mass of the crate). Neglect the buoyant force on the crate of water balloons. Density of He is 0.179 kg/m3. Density of air is 1.29 kg/m3. Volume of a sphere is 4/3 π r3. Weight is in N (not kg)

It is a fact that blood flows more rapidly in the aorta than in the capillaries.  The cross sectional area of the aorta must be ___________ the total cross sectional area of the capillaries.   less than     equal to     greater than Consider an incompressible liquid flowing in a pipe of constant diameter.   ΔP is the pressure difference between the 2 ends of the pipe.  Choose the correct statement regarding the volumetric flow.  It will decrease with increased ΔP, and increase with greater pipe radius.     It will increase with increased ΔP, and increase with greater length of the pipe.     it will decrease with greater length of the pipe, and increase with greater pipe radius.     it will decrease with increased viscosity of the liquid, and decrease with greater pipe radius.

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

Determine the thickness of a hollow aluminum sphere with a mass of o.35g and has an outer radius of o.50 cm if the density of the aluminum is 2700kg/m^3.

As a woman walks, her entire weight is momentarily placed on one heel of her high-heeled shoes. Calculate the pressure exerted on the floor by the heel if it has an area of 1.39 cm2 and the woman's mass is 55.5 kg. Express the pressure in pascals. (In the early days of commercial flight, women were not allowed to wear high-heeled shoes because aircraft floors were too thin to withstand such large pressures.) ______ Pa