Lesson Worksheet: Pressure Produced by Fluids Physics • 9th Grade

In this worksheet, we will practice using the formula p = ρgh to calculate the pressure produced at different depths by different fluids that gravity acts on.


The difference in pressures at a depth of 3.75 m for sea water and fresh water is 735 Pa. What is the difference in their densities?


A scuba diver dives to a depth of 1.25 m below the surface of the sea. The sea water has a density of 1,025 kg/m3. What pressure does the water exert on the diver, to the nearest pascal?


A lake at the surface of an unknown planet is filled with a liquid of density 1‎ ‎000 kg/m3. The pressure produced by that liquid at a depth of 2.4 m is 8‎ ‎400 Pa. What is the acceleration due to gravity at the surface of this planet?


The pressure from water at a depth 𝑑 is 21,560 Pa. Find the depth 𝑑 using a value of 1,000 kg/m3 for the density of water.


A hollow container with a cross-sectional area of 25 m2 is suspended from a cable in a sealed room. Air is pumped into the room until the air pressure is 5.7 atmospheres. The air inside the container is at a pressure of 1.2 atmospheres. Find the net force on the outer surface of the container, using a value of 101 kPa for one atmosphere.


Two identical steel ball bearings are dropped into two different liquids 𝐴 and 𝐵. Liquid 𝐴 has a density of 1,200 kg/m3 and liquid 𝐵 has a density of 1,500 kg/m3. How many times deeper does the ball bearing have to fall into liquid 𝐴 to be subject to the same pressure as the ball bearing in liquid 𝐵?


Which of the following formulas correctly shows the relationship between the pressure exerted by a fluid, the height of the fluid above the point at which pressure is measured, the density 𝜌 of the fluid, and the gravitational acceleration rate 𝑔?

  • A𝑃=𝑔𝜌
  • B𝑃=𝜌𝑔
  • C𝑃=𝜌𝑔
  • D𝑃=𝑔𝜌
  • E𝑃=𝜌𝑔


The hull of a sunken boat, laying on the seabed, is 12 m below the surface of the sea, where the sea water has an average density of 1,025 kg/m3. The hull’s surface area is 15 m2. What is the total force exerted by seawater on the hull?


In a well, a 0.35 m high bucket full to the brim with water of density 1,000 kg/m3 is supported by a rope. The bucket is dropped into the well and its fall is slowed by the tension in the rope. During the bucket’s fall, the pressure on its base is 2,310 Pa. At what rate does the bucket accelerate down the well?


The pressure exerted by a liquid at a depth of 2.5 m is 36‎ ‎750 Pa. What is the density of the liquid, to the nearest kg/m3?

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