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

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SUMMARY

The maximum mass supported by an air mattress in freshwater can be calculated using the principles of buoyancy. The air mattress dimensions are 2.4 m long, 0.65 m wide, and 0.12 m deep, resulting in a volume of 0.1872 cubic meters. The buoyant force generated when fully submerged equals the weight of the displaced water, which is approximately 1,872 Newtons. Subtracting the weight of the mattress (0.21 kg or 2.058 Newtons) from the buoyant force yields a maximum supported mass of approximately 1,870 kg in freshwater.

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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 buoyant force the mattress can generate when fully submerged in water?
 

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