Archimedes' Principle - AP Physics 2
Card 1 of 20
How much of an iceberg is submerged below the water if the density of ice is 
and the density of water is 
?
How much of an iceberg is submerged below the water if the density of ice is
Tap to reveal answer
The volume of the submerged mass is the volume of the mass proportional to the density of the solid to the density of the fluid.
Determine the amount of ice that is submerged.
The volume of the submerged mass is the volume of the mass proportional to the density of the solid to the density of the fluid.
Determine the amount of ice that is submerged.
← Didn't Know|Knew It →
Which of the following is a statement of Archimedes' principle?
Which of the following is a statement of Archimedes' principle?
Tap to reveal answer
Archimedes' Principle states: When a body is completely or partially immersed in a fluid, the fluid exerts an upward force on the body equal to the weight of fluid displaced by the body. Thus, the buoyant force is dependent on the density of the liquid and volume of the immersed object, regardless of the object's mass or surface area.
Archimedes' Principle states: When a body is completely or partially immersed in a fluid, the fluid exerts an upward force on the body equal to the weight of fluid displaced by the body. Thus, the buoyant force is dependent on the density of the liquid and volume of the immersed object, regardless of the object's mass or surface area.
← Didn't Know|Knew It →
A spherical ball of density 
has a radius of 
. If the ball is placed on the surface of water and released, how much of the ball becomes submerged in the water?
A spherical ball of density
Tap to reveal answer
We can use Archimedes's Principle to solve this problem which states that the upward buoyant force on an object is equal to the weight of the fluid that the object displaces. Therefore, if an object is floating, the upward buoyant force is equal to the weight of the object. So, let's begin by calculating that. We are given the radius of the object and told that it is a sphere. Therefore, we can use the expression for the volume of a sphere:
Now multiplying this by the density, we get:
This is also going to be the mass of the water displaced. We can therefore calculate the volume of water displaced:
We can use Archimedes's Principle to solve this problem which states that the upward buoyant force on an object is equal to the weight of the fluid that the object displaces. Therefore, if an object is floating, the upward buoyant force is equal to the weight of the object. So, let's begin by calculating that. We are given the radius of the object and told that it is a sphere. Therefore, we can use the expression for the volume of a sphere:
Now multiplying this by the density, we get:
This is also going to be the mass of the water displaced. We can therefore calculate the volume of water displaced:
← Didn't Know|Knew It →
If a 
object with a volume of 
is submerged 
below water, what is the net force acting on the object?
.
If a
Tap to reveal answer
To answer this question, we'll need to consider the object submerged under water, and then use a force diagram in order to see which forces are acting on it.
The forces that are relevant to this question are the vertical forces, or those acting in the y-direction. Pointing down, we have the force due to gravity, which is the object's weight. Pointing upward is the bouyant force.
Next, we can expand each of the variables in the above expression.
Note that the depth in which the object was submerged is extraneous information.
To answer this question, we'll need to consider the object submerged under water, and then use a force diagram in order to see which forces are acting on it.
The forces that are relevant to this question are the vertical forces, or those acting in the y-direction. Pointing down, we have the force due to gravity, which is the object's weight. Pointing upward is the bouyant force.
Next, we can expand each of the variables in the above expression.
Note that the depth in which the object was submerged is extraneous information.
← Didn't Know|Knew It →
A ball of mass 
is lightly dropped into a tub with a base of 
. After it sinks to the bottom, the water rises by 
. Determine the density of the ball.
A ball of mass
Tap to reveal answer
The volume displaced will equal the volume of the ball.
The volume displaced will equal the volume of the ball.
← Didn't Know|Knew It →
How much of an iceberg is submerged below the water if the density of ice is and the density of water is ?
How much of an iceberg is submerged below the water if the density of ice is
Tap to reveal answer
The volume of the submerged mass is the volume of the mass proportional to the density of the solid to the density of the fluid.
Determine the amount of ice that is submerged.
The volume of the submerged mass is the volume of the mass proportional to the density of the solid to the density of the fluid.
Determine the amount of ice that is submerged.
← Didn't Know|Knew It →
Which of the following is a statement of Archimedes' principle?
Which of the following is a statement of Archimedes' principle?
Tap to reveal answer
Archimedes' Principle states: When a body is completely or partially immersed in a fluid, the fluid exerts an upward force on the body equal to the weight of fluid displaced by the body. Thus, the buoyant force is dependent on the density of the liquid and volume of the immersed object, regardless of the object's mass or surface area.
Archimedes' Principle states: When a body is completely or partially immersed in a fluid, the fluid exerts an upward force on the body equal to the weight of fluid displaced by the body. Thus, the buoyant force is dependent on the density of the liquid and volume of the immersed object, regardless of the object's mass or surface area.
← Didn't Know|Knew It →
A spherical ball of density has a radius of . If the ball is placed on the surface of water and released, how much of the ball becomes submerged in the water?
A spherical ball of density
Tap to reveal answer
We can use Archimedes's Principle to solve this problem which states that the upward buoyant force on an object is equal to the weight of the fluid that the object displaces. Therefore, if an object is floating, the upward buoyant force is equal to the weight of the object. So, let's begin by calculating that. We are given the radius of the object and told that it is a sphere. Therefore, we can use the expression for the volume of a sphere:
Now multiplying this by the density, we get:
This is also going to be the mass of the water displaced. We can therefore calculate the volume of water displaced:
We can use Archimedes's Principle to solve this problem which states that the upward buoyant force on an object is equal to the weight of the fluid that the object displaces. Therefore, if an object is floating, the upward buoyant force is equal to the weight of the object. So, let's begin by calculating that. We are given the radius of the object and told that it is a sphere. Therefore, we can use the expression for the volume of a sphere:
Now multiplying this by the density, we get:
This is also going to be the mass of the water displaced. We can therefore calculate the volume of water displaced:
← Didn't Know|Knew It →
If a object with a volume of is submerged below water, what is the net force acting on the object?
.
If a
Tap to reveal answer
To answer this question, we'll need to consider the object submerged under water, and then use a force diagram in order to see which forces are acting on it.
The forces that are relevant to this question are the vertical forces, or those acting in the y-direction. Pointing down, we have the force due to gravity, which is the object's weight. Pointing upward is the bouyant force.
Next, we can expand each of the variables in the above expression.
Note that the depth in which the object was submerged is extraneous information.
To answer this question, we'll need to consider the object submerged under water, and then use a force diagram in order to see which forces are acting on it.
The forces that are relevant to this question are the vertical forces, or those acting in the y-direction. Pointing down, we have the force due to gravity, which is the object's weight. Pointing upward is the bouyant force.
Next, we can expand each of the variables in the above expression.
Note that the depth in which the object was submerged is extraneous information.
← Didn't Know|Knew It →
A ball of mass is lightly dropped into a tub with a base of . After it sinks to the bottom, the water rises by . Determine the density of the ball.
A ball of mass
Tap to reveal answer
The volume displaced will equal the volume of the ball.
The volume displaced will equal the volume of the ball.
← Didn't Know|Knew It →
How much of an iceberg is submerged below the water if the density of ice is and the density of water is ?
How much of an iceberg is submerged below the water if the density of ice is
Tap to reveal answer
The volume of the submerged mass is the volume of the mass proportional to the density of the solid to the density of the fluid.
Determine the amount of ice that is submerged.
The volume of the submerged mass is the volume of the mass proportional to the density of the solid to the density of the fluid.
Determine the amount of ice that is submerged.
← Didn't Know|Knew It →
Which of the following is a statement of Archimedes' principle?
Which of the following is a statement of Archimedes' principle?
Tap to reveal answer
Archimedes' Principle states: When a body is completely or partially immersed in a fluid, the fluid exerts an upward force on the body equal to the weight of fluid displaced by the body. Thus, the buoyant force is dependent on the density of the liquid and volume of the immersed object, regardless of the object's mass or surface area.
Archimedes' Principle states: When a body is completely or partially immersed in a fluid, the fluid exerts an upward force on the body equal to the weight of fluid displaced by the body. Thus, the buoyant force is dependent on the density of the liquid and volume of the immersed object, regardless of the object's mass or surface area.
← Didn't Know|Knew It →
A spherical ball of density has a radius of . If the ball is placed on the surface of water and released, how much of the ball becomes submerged in the water?
A spherical ball of density
Tap to reveal answer
We can use Archimedes's Principle to solve this problem which states that the upward buoyant force on an object is equal to the weight of the fluid that the object displaces. Therefore, if an object is floating, the upward buoyant force is equal to the weight of the object. So, let's begin by calculating that. We are given the radius of the object and told that it is a sphere. Therefore, we can use the expression for the volume of a sphere:
Now multiplying this by the density, we get:
This is also going to be the mass of the water displaced. We can therefore calculate the volume of water displaced:
We can use Archimedes's Principle to solve this problem which states that the upward buoyant force on an object is equal to the weight of the fluid that the object displaces. Therefore, if an object is floating, the upward buoyant force is equal to the weight of the object. So, let's begin by calculating that. We are given the radius of the object and told that it is a sphere. Therefore, we can use the expression for the volume of a sphere:
Now multiplying this by the density, we get:
This is also going to be the mass of the water displaced. We can therefore calculate the volume of water displaced:
← Didn't Know|Knew It →
If a object with a volume of is submerged below water, what is the net force acting on the object?
.
If a
Tap to reveal answer
To answer this question, we'll need to consider the object submerged under water, and then use a force diagram in order to see which forces are acting on it.
The forces that are relevant to this question are the vertical forces, or those acting in the y-direction. Pointing down, we have the force due to gravity, which is the object's weight. Pointing upward is the bouyant force.
Next, we can expand each of the variables in the above expression.
Note that the depth in which the object was submerged is extraneous information.
To answer this question, we'll need to consider the object submerged under water, and then use a force diagram in order to see which forces are acting on it.
The forces that are relevant to this question are the vertical forces, or those acting in the y-direction. Pointing down, we have the force due to gravity, which is the object's weight. Pointing upward is the bouyant force.
Next, we can expand each of the variables in the above expression.
Note that the depth in which the object was submerged is extraneous information.
← Didn't Know|Knew It →
A ball of mass is lightly dropped into a tub with a base of . After it sinks to the bottom, the water rises by . Determine the density of the ball.
A ball of mass
Tap to reveal answer
The volume displaced will equal the volume of the ball.
The volume displaced will equal the volume of the ball.
← Didn't Know|Knew It →
How much of an iceberg is submerged below the water if the density of ice is and the density of water is ?
How much of an iceberg is submerged below the water if the density of ice is
Tap to reveal answer
The volume of the submerged mass is the volume of the mass proportional to the density of the solid to the density of the fluid.
Determine the amount of ice that is submerged.
The volume of the submerged mass is the volume of the mass proportional to the density of the solid to the density of the fluid.
Determine the amount of ice that is submerged.
← Didn't Know|Knew It →
Which of the following is a statement of Archimedes' principle?
Which of the following is a statement of Archimedes' principle?
Tap to reveal answer
Archimedes' Principle states: When a body is completely or partially immersed in a fluid, the fluid exerts an upward force on the body equal to the weight of fluid displaced by the body. Thus, the buoyant force is dependent on the density of the liquid and volume of the immersed object, regardless of the object's mass or surface area.
Archimedes' Principle states: When a body is completely or partially immersed in a fluid, the fluid exerts an upward force on the body equal to the weight of fluid displaced by the body. Thus, the buoyant force is dependent on the density of the liquid and volume of the immersed object, regardless of the object's mass or surface area.
← Didn't Know|Knew It →
A spherical ball of density has a radius of . If the ball is placed on the surface of water and released, how much of the ball becomes submerged in the water?
A spherical ball of density
Tap to reveal answer
We can use Archimedes's Principle to solve this problem which states that the upward buoyant force on an object is equal to the weight of the fluid that the object displaces. Therefore, if an object is floating, the upward buoyant force is equal to the weight of the object. So, let's begin by calculating that. We are given the radius of the object and told that it is a sphere. Therefore, we can use the expression for the volume of a sphere:
Now multiplying this by the density, we get:
This is also going to be the mass of the water displaced. We can therefore calculate the volume of water displaced:
We can use Archimedes's Principle to solve this problem which states that the upward buoyant force on an object is equal to the weight of the fluid that the object displaces. Therefore, if an object is floating, the upward buoyant force is equal to the weight of the object. So, let's begin by calculating that. We are given the radius of the object and told that it is a sphere. Therefore, we can use the expression for the volume of a sphere:
Now multiplying this by the density, we get:
This is also going to be the mass of the water displaced. We can therefore calculate the volume of water displaced:
← Didn't Know|Knew It →
If a object with a volume of is submerged below water, what is the net force acting on the object?
.
If a
Tap to reveal answer
To answer this question, we'll need to consider the object submerged under water, and then use a force diagram in order to see which forces are acting on it.
The forces that are relevant to this question are the vertical forces, or those acting in the y-direction. Pointing down, we have the force due to gravity, which is the object's weight. Pointing upward is the bouyant force.
Next, we can expand each of the variables in the above expression.
Note that the depth in which the object was submerged is extraneous information.
To answer this question, we'll need to consider the object submerged under water, and then use a force diagram in order to see which forces are acting on it.
The forces that are relevant to this question are the vertical forces, or those acting in the y-direction. Pointing down, we have the force due to gravity, which is the object's weight. Pointing upward is the bouyant force.
Next, we can expand each of the variables in the above expression.
Note that the depth in which the object was submerged is extraneous information.
← Didn't Know|Knew It →
A ball of mass is lightly dropped into a tub with a base of . After it sinks to the bottom, the water rises by . Determine the density of the ball.
A ball of mass
Tap to reveal answer
The volume displaced will equal the volume of the ball.
The volume displaced will equal the volume of the ball.
← Didn't Know|Knew It →