A rigid tank A is connected to a spherical elastic balloon B as shown in the figure below. Both contain air at the ambient temperature of 25 °C. The volume of tank A is 0.05 m3 and the initial pressure is 250 kPa. The initial diameter of the balloon is 0.3 m and the pressure inside is 110 kPa. The valve connecting A and B is now opened and remains open. It may be assumed that the pressure inside the balloon is directly proportional to its diameter, and also that the final temperature of air is uniform throughout at 25 °C. a. Determine the final diameter of the balloon and the final pressure in the system. b. Calculate Q if the atmospheric pressure is 100 kPa.

A rectangular solid made of aluminum has a density p= 2.70 g/cm³. The dimensions of the solid are shown below. The solid is placed on top of a truncated cone whose circular ends have the dimensions shown. The bottom of the rectangular solid down on the top surface of the cone. Find the pressure (in N/m²)between those two surfaces. (Ignore air pressure.) (1 kg = 1000 g, 1 m 100 cm) presses 10.0 cm 8.00 cm 15.0 cm r= 2.00 cm R = 6.00 cm

A 0.527 kg metal cylinder is placed inside the top of a plastic tube, the lower end of which is sealed off by an adjustable plunger. The cylinder comes to rest some distance above the plunger. The plastic tube has an inner radius of 6.56 mm and is frictionless. Neither the plunger nor the metal cylinder allow any air to flow around them. If the plunger is suddenly pushed upwards, increasing the pressure between the plunger and the metal cylinder by a factor of 1.35, what is the initial acceleration ? of the metal cylinder? Assume the pressure outside of the tube is 1.00 atmand that the top of the tube is open to the air.

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.

When you hold your hands at your sides, you may have noticed that the veins sometimes bulge—the height difference between your heart and your hands produces increased pressure in the veins. The same thing happens in the arteries. Estimate the distance that your hands are below your heart. If the average arterial pressure at your heart is a typical 100 mm Hg, what is the average arterial pressure in your hands when they are held at your side?

A 0.504 kg metal cylinder is placed inside the top of a plastic tube, the lower end of which is sealed off by an adjustable plunger. The cylinder comes to rest some distance above the plunger. The plastic tube has an inner radius of 5.88 mm and is frictionless. Neither the plunger nor the metal cylinder allow any air to flow around them. If the plunger is suddenly pushed upwards, increasing the pressure between the plunger and the metal cylinder by a factor of 3.03, what is the initial acceleration a of the metal cylinder? Assume the pressure outside of the tube is 1.00 atm and that the top of the tube is open to the air.

A 0.458 kg metal cylinder is placed inside the top of a plastic tube, the lower end of which is sealed off by an adjustable plunger. The cylinder comes to rest some distance above the plunger. The plastic tube has an inner radius of 6.90 mm and is frictionless. Neither the plunger nor the metal cylinder allow any air to flow around them. If the plunger is suddenly pushed upwards, increasing the pressure between the plunger and the metal cylinder by a factor of 2.07, what is the initial acceleration a of the metal cylinder? Assume the pressure outside of the tube is 1.00 atm and that the top of the tube is open to the air. a = m/s?