Please verify your account before proceeding.
In this lesson, we will learn how to use 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.
does the water exert on the diver,
to the nearest pascal?
A pool containing a liquid with a density of
kg/m3 at the surface of an unknown planet produces a pressure of
Pa at a depth of 2.4 m.
the acceleration due to gravity at the surface of this planet?
The pressure from water at a depth
Pa. Find the depth
using a value of
kg/m3 for the density of water.
The pressure of a gas on the opposite sides of a horizontal section of the
wall of a container is shown in the diagram.
The greater pressure is exerted on the inside of the container.
What is the net outward pressure exerted on that section?
What is the net force exerted on that section?
The hull of a sunken boat, laying on the seabed, is
below the surface
of the sea, where the sea water has an average density of
The hull’s surface area is
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
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.
what rate does the bucket accelerate down the well?
Two identical steel ball bearings are dropped into two different liquids
has a density of
has a density of
How many times deeper does the ball bearing have to fall into liquid
to be subject to the same pressure as the ball bearing in liquid
What is the pressure exerted by water at
a depth of 2.5 m?
Use a value of
for the density of
A submarine in the sea can dive to a depth where the
pressure exerted by the water on the submarine is ten atmospheres. The sea
water has a density of
Find the maximum safe depth to
which the submarine can dive, rounded to one decimal place, using a value of 101 kPa as the pressure of one atmosphere.
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.
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
of the fluid, and the gravitational acceleration rate
The pressure exerted by an oil at a depth of 2.5 m is
Pa. What is the density of the oil?
Two different gases,
gas A and gas B,
form bubbles in a container of water where chemical reactions are occurring.
Many bubbles are released upward at different speeds for different gases.
The pressure on the bubbles of both types of gas is equal when the bubbles
are of the same size.
The bubbles of gas A and gas B have the same size when the bubbles of gas
below the surface of the water and the bubbles of gas B are
7.5 cm below
the surface of the water.
The water in the container has
different average densities at different depths as the amount
of gas dissolved in the water is different at different depths.
The density of the water
below the surface is
What is the density of the water
below the surface?
The difference in pressure a liquid exerts at different depths is shown in the graph. To
the nearest kilogram per cubic meter, what is the density of the liquid?
Don’t have an account? Sign Up