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an air mattress used for camping has dimensions of 95 cm by 177 cm by 11 when blown up. the mass of the mattress is 6 kg. how massive a person could the air mattress hold if it is placed in freshwater? density of freshwater

Respuesta :

The correct answer is mass of person will be should be less than 174 Kg. so that it could the air mattress hold if it is placed in freshwater.

What is Pascal’s Law in case of air mattress?

Pascal's principle is used by an air mattress to shield you from uneven terrain, pebbles, and tree limbs. Every area of your body that is in contact with the air mattress feels the same amount of pressure. Since Pascal's principle applies to enclosed static fluids, the same logic holds true for a water bed.

Given,

L = 95 cm = 0.95 m

B = 177 cm = 1.77 m

H = 11 cm = 0.11 m

Volume = 0.95 x 1.77 x 0.11 = = 0.18 m³

Density (Mattress) < Density (Water)

Here, as a massive person is on Mattress then Density of Mattress here is Total weight (Mattress and Man) divide by volume

Mass of Mattress = 6 Kg. (given)

6 + Mass of Man / 0.18 < 1000

 6 + Mass (Man) < 180

 Mass (Man) < 174 Kg.

Thus, Mass of person will be should be less than 174 Kg. so that it could the air mattress hold if it is placed in freshwater.

To learn more about Pascal’s law of Air mattress from the given link

https://brainly.com/question/13517343

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