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Part A Problems: Density; Pressure; Buoyancy in a Liquid; Archimedes Principle 1. A rectangular fish tank measures 30 cm by 60 cm by 40 cm high. (a) If the tank is filled with water to a depth of 38 cm, what is the pressure at the bottom due to the water? (b) What is the total force of the water on the bottom? 2. A rectangular boat (shown below) is overloaded such that the water level is just 5.0 cm below the top of the boat. What is the combined mass of the people and the boat? 0.30 m 4.5 m 2.0 m Part B Problems: Pressure in a Gas; Atmospheric Pressure; Pascal's Principle; Buoyancy in a Gas; Bernoulli's Principle. 3. A hydraulic press has a large piston with a cross-sectional area of 420 cm² and a small piston with a cross-sectional area of 5.00 cm². What is the force on the large piston when a force of 1.50 N is applied to the small piston? 4. On a perfectly fall day, you are hovering at rest at low altitude in a hot-air balloon. The total weight of balloon, including its load and the hot air in it, is 30,000 N. Show that the volume of the displaced air is about 25,484 m³. 5. (a) The blood flow speed through an aorta with a radius of 1.20 cm is 0.270 m/s. If hardening of the arteries causes the aorta to be constricted to a radius of 0.700 cm, by how much would the blood flow speed increase (b) What would be the pressure difference between the two areas of the aorta? (Blood density: ? = 1.05 x 10³ kg/m³.)

          Part A Problems: Density; Pressure; Buoyancy in a Liquid; Archimedes Principle
1. A rectangular fish tank measures 30 cm by 60 cm by 40 cm high. (a) If the tank is filled with water to a depth of 38 cm, what is the pressure at the bottom due to the water? (b) What is the total force of the water on the bottom?

2. A rectangular boat (shown below) is overloaded such that the water level is just 5.0 cm below the top of the boat. What is the combined mass of the people and the boat?
0.30 m
4.5 m
2.0 m

Part B Problems: Pressure in a Gas; Atmospheric Pressure; Pascal's Principle; Buoyancy in a Gas; Bernoulli's Principle.
3. A hydraulic press has a large piston with a cross-sectional area of 420 cm² and a small piston with a cross-sectional area of 5.00 cm². What is the force on the large piston when a force of 1.50 N is applied to the small piston?

4. On a perfectly fall day, you are hovering at rest at low altitude in a hot-air balloon. The total weight of balloon, including its load and the hot air in it, is 30,000 N. Show that the volume of the displaced air is about 25,484 m³.

5. (a) The blood flow speed through an aorta with a radius of 1.20 cm is 0.270 m/s. If hardening of the arteries causes the aorta to be constricted to a radius of 0.700 cm, by how much would the blood flow speed increase (b) What would be the pressure difference between the two areas of the aorta? (Blood density: ? = 1.05 x 10³ kg/m³.)

Part A Problems: Density; Pressure; Buoyancy in a Liquid; Archimedes Principle
1. A rectangular fish tank measures 30 cm by 60 cm by 40 cm high. (a) If the tank is filled with water to a depth of 38 cm, what is the pressure at the bottom due to the water? (b) What is the total force of the water on the bottom?

2. A rectangular boat (shown below) is overloaded such that the water level is just 5.0 cm below the top of the boat. What is the combined mass of the people and the boat?
0.30 m
4.5 m
2.0 m

Part B Problems: Pressure in a Gas; Atmospheric Pressure; Pascal's Principle; Buoyancy in a Gas; Bernoulli's Principle.
3. A hydraulic press has a large piston with a cross-sectional area of 420 cm² and a small piston with a cross-sectional area of 5.00 cm². What is the force on the large piston when a force of 1.50 N is applied to the small piston?

4. On a perfectly fall day, you are hovering at rest at low altitude in a hot-air balloon. The total weight of balloon, including its load and the hot air in it, is 30,000 N. Show that the volume of the displaced air is about 25,484 m³.

5. (a) The blood flow speed through an aorta with a radius of 1.20 cm is 0.270 m/s. If hardening of the arteries causes the aorta to be constricted to a radius of 0.700 cm, by how much would the blood flow speed increase (b) What would be the pressure difference between the two areas of the aorta? (Blood density: ? = 1.05 x 10³ kg/m³.)

Added by Luis Miguel L.

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