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

AI Thread Summary
To find the average density of the duck, one must equate the weight of the duck to the buoyant force exerted by the water. The buoyant force corresponds to the volume of water displaced, which is equal to the submerged portion of the duck, or 25% of its volume. The equation p(rho) = m/V is relevant, where m is the mass of the duck and V is its total volume. Clarification is needed on calculating the buoyant force based on the submerged volume. The discussion emphasizes the relationship between buoyant force and the duck's weight to determine its average density.
Mr. Fish
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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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You need to equate the weight of the duck with the buoyant force exerted by the water on the duck.
 


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)?
 


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.
 


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.
 


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?
 


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?
 
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