Find Max mass(not weight) supported by an air matress in fresh water.

AI Thread Summary
The discussion focuses on calculating the maximum mass an air mattress can support in freshwater, given its dimensions of 2.4 m long, 0.65 m wide, and 12 cm deep, along with its own mass of 0.21 kg. Participants are encouraged to determine the volume of the mattress and the weight of an equivalent volume of water to understand buoyant force. The key question revolves around how to apply the buoyant force to find the maximum supported mass. The conversation emphasizes the need for clarity on buoyant force calculations and the relationship between the mattress's volume and the weight of displaced water. Understanding these principles is essential for solving the problem effectively.
dspivak01
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1. An air mattress is 2.4 m long, 0.65 m wide, and 12 cm deep.



2. If the air mattress itself has a mass of 0.21 kg, what is the maximum mass it can support in freshwater?



3. I have absolutely no clue in which direction to go in once i found the buoyant force, which I am not sure is right either.

Please Help :confused:
 
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dspivak01 said:
1. An air mattress is 2.4 m long, 0.65 m wide, and 12 cm deep.



2. If the air mattress itself has a mass of 0.21 kg, what is the maximum mass it can support in freshwater?



3. I have absolutely no clue in which direction to go in once i found the buoyant force, which I am not sure is right either.

Please Help :confused:

What is the volume of the mattress? What would an equivalent volume of water weigh?

Given that number, and the weight of the mattress, what can you say about what bouyant force the mattress can generate when fully submerged in water?
 

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