Calculating the Volume of Water Displaced by a Kayak

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Homework Help Overview

The problem involves calculating the volume of water displaced by a kayak, considering its weight and the principles of buoyancy. The subject area relates to fluid mechanics and Archimedes' principle.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between buoyant force and the weight of the displaced water, referencing Archimedes' principle. There are inquiries about the correctness of specific volume calculations.

Discussion Status

Some participants have provided calculations and expressed agreement on the results, while others are seeking confirmation of their answers. The discussion is ongoing with multiple interpretations being explored.

Contextual Notes

Participants are working within the constraints of the problem as presented, including the mass of the kayak and the volume of water displaced. There is an emphasis on ensuring that the buoyant force matches the weight of the kayak for it to float.

psruler
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Hi, I need help on this problem:

You own a 25kg plastic ocean kayak with a sealed interior filled with air. THe kayak has a total volume of 0.17m^3. The mass of water the kayak displace is 170kg. WHile floating, what volume of water does the kayak displace?

Thanks!
 
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For the kayak to float, the buoyant force must equal its weight. From Archimedes' principle, the buoyant force equals the weight of the displaced water.
 
I got 0.025m^3 as the answer. Is that correct?
 
psruler said:
I got 0.025m^3 as the answer. Is that correct?
Looks right to me.
 

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