Assignment 2 Week3
Due: 11:59pm on Friday, September 23, 2011
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Archimedes' Principle
Learning Goal:
To understand the applications of Archimedes' principle.
Archimedes' principle
is a powerful tool for solving many problems involving equilibrium in fluids. It
states the following:
When a body is partially or completely submerged in a fluid (either a liquid or a gas), the fluid exerts
an upward force on the body equal to the weight of the fluid displaced by the body.
As a result of the upward Archimedes force (often called the
buoyant force
), some objects may float
in a fluid, and all of them appear to weigh less. This is the familiar phenomenon of
buoyancy
.
Quantitatively, the buoyant force can be found as
,
where
is the force,
is the density of the fluid,
is the magnitude of the acceleration
due to gravity, and
is the volume of the displaced fluid.
In this problem, you will be asked several qualitative questions that should help you develop a feel
for Archimedes' principle.
An object is placed in a fluid and then released. Assume that the object either floats to the surface
(settling so that the object is partly above and partly below the fluid surface) or sinks to the
bottom. (Note that for Parts A through D, you should assume that the object has settled in
equilibrium.)
Part A
Consider the following statement:
The magnitude of the buoyant force is equal to the weight of fluid displaced by the object.
Under what circumstances is this statement true?
Hint A.1
Archimedes' principle
The statement of Part A is one way of expressing Archimedes' principle.
ANSWER:
for every object submerged partially or completely in a fluid
only for an object that floats
only for an object that sinks
for no object submerged in a fluid
Correct
Use Archimedes' principle to answer the rest of the questions in this problem.
Part B
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Consider the following statement:
The magnitude of the buoyant force is equal to the weight of the amount of fluid that has the
same total volume as the object.
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 Winter '08
 BATES
 Physics, Buoyant Force, Archimedes, Assignment Print View

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