A duck is floating on a lake with 25% of it's volume beneath the water

In summary, the conversation discusses finding the average density of a duck floating on a lake with 25% of its volume submerged in the water. The participants suggest equating the weight of the duck with the buoyant force exerted by the water and clarify that the buoyant force is the 25% of the duck's volume submerged. They also suggest writing F(duck) as the weight of the duck and encourage the original poster to show their attempt at solving the problem.
  • #1
Mr. Fish
10
0

Homework Statement



A duck is floating on a lake with 25% of it's volume beneath the water. What is the average density of the duck?

Homework Equations



Not sure of going about this problem

The Attempt at a Solution



I know that p(rho) = m/V
 
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  • #2


You need to equate the weight of the duck with the buoyant force exerted by the water on the duck.
 
  • #3


Pranav-Arora said:
You need to equate the weight of the duck with the buoyant force exerted by the water on the duck.

Ok well than F(buoyant) = F(duck)?
 
  • #4


Mr. Fish said:
Ok well than F(buoyant) = F(duck)?

Yes. :smile:

I guess it would be better to write F(duck) as weight of duck.
 
  • #5


Pranav-Arora said:
Yes. :smile:

I guess it would be better to write F(duck) as weight of duck.

I'm still lost on finding the average density of the duck.
 
  • #6


Mr. Fish said:
I'm still lost on finding the average density of the duck.

Please show us your attempt so that we can help you.

What's the buoyant force on the duck?
 
  • #7


Pranav-Arora said:
Please show us your attempt so that we can help you.

What's the buoyant force on the duck?

The buoyant force is the 25% of t he duck submerged into the water?
 

1. How can a duck float on a lake with 25% of its volume beneath the water?

The density of water is higher than that of a duck, which allows it to float. The amount of water displaced by the duck's body is equal to its weight, making it float at a certain level on the surface of the water.

2. Why does only 25% of the duck's volume submerge in the water?

This is due to Archimedes' principle, which states that the buoyant force acting on an object is equal to the weight of the fluid it displaces. Therefore, only a portion of the duck's body needs to be submerged to displace enough water to equal its weight.

3. How does the duck maintain its balance while floating?

The duck's body is designed to distribute its weight evenly, allowing it to maintain its balance while floating on the water. Its webbed feet also help to keep it stable and provide propulsion.

4. Does the density of the duck affect its ability to float?

Yes, the density of an object affects its ability to float. If a duck had a higher density, it would need to displace more water to equal its weight, causing it to submerge further in the water.

5. Can other animals or objects also float on water with 25% of their volume submerged?

Yes, any object or animal with a density lower than that of water can float with 25% of its volume submerged. This includes other birds, insects, and even some types of wood.

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