Pressure
What is the definition of pressure?
A box weighing 450 N rests on the floor. The base of the box has an area of 0.15 m². What is the pressure the box exerts on the floor?
A gas exerts a pressure of 150 000 Pa on a piston of area 0.0040 m². Calculate the force exerted by the gas on the piston.
Explain why a knife with a very thin blade cuts food more easily than a blunt knife, even when the same force is applied.
A person weighing 600 N stands on soft ground wearing boots with a total contact area of 0.020 m². They then put on snowshoes with a total contact area of 0.40 m². What is the ratio of the pressure exerted while wearing boots to the pressure exerted while wearing snowshoes?
A student claims that the pressure at the bottom of a wide swimming pool is lower than the pressure at the bottom of a narrow swimming pool of the same depth filled with the same water. Which statement about this claim is correct?
Which of the following correctly describes how pressure varies in a liquid?
State two factors that affect the pressure at a point beneath the surface of a liquid. Which pair is correct?
A diver descends to a depth of 30 m in seawater of density 1030 kg m⁻³. Taking g = 10 N kg⁻¹, calculate the pressure change due to the seawater at this depth.
A fish swims at a depth of 500 cm in a freshwater lake. The density of the water is 1000 kg m⁻³ and g = 9.8 N kg⁻¹. What is the pressure change due to the water at this depth?
A submarine experiences a pressure change of 515 000 Pa at a certain depth in seawater of density 1030 kg m⁻³. Using g = 10 N kg⁻¹, determine the depth of the submarine below the surface.
An engineer needs to know the total pressure on the hull of a research vessel at a depth of 200 m in seawater (density 1025 kg m⁻³). Atmospheric pressure is 101 000 Pa and g = 10 N kg⁻¹. What is the total pressure at this depth?
A force of 720 N acts on a surface. The pressure exerted is 2400 Pa. Calculate the area of the surface.
A hydraulic press operates by applying a small force over a small area to generate a large pressure, which is then transmitted to a larger piston. A mechanic applies a force of 200 N to a piston of area 0.0010 m². This pressure acts on a second piston of area 0.050 m². What is the output force on the larger piston?
Two containers are filled with different liquids to the same depth of 2.0 m. Container X holds liquid of density 800 kg m⁻³ and container Y holds liquid of density 1200 kg m⁻³. Taking g = 10 N kg⁻¹, what is the difference in pressure at the bottom of the two containers due to the liquids?
A student measures the pressure exerted by a brick on a table in two orientations. When lying flat, the brick’s base area is 0.024 m². When stood on its end, the contact area is 0.006 m². The brick weighs 36 N. What is the increase in pressure when the brick is moved from lying flat to standing on its end?
An oil storage tank is 12 m tall and filled with oil of unknown density. A pressure sensor at the base of the tank reads a pressure change of 96 000 Pa due to the oil. Taking g = 10 N kg⁻¹, determine the density of the oil.
A civil engineer is designing foundations for two structures. Structure P has a weight of 500 000 N and its foundation has an area of 25 m². Structure Q has a weight of 800 000 N and its foundation has an area of 50 m². Which structure exerts the greater pressure on the ground, and by how much?