A twin-sized air mattress used for camping has dimensions of 100 cm by 194 cm by 14 cm when blown up. The weight of the mattress is 4 kg. How heavy a person (in N) could the air mattress hold if it is placed in freshwater

Explanation:

Dimensions of mattress 100 cm by 194 cm by 14 cm

= Mass of mattress = 4 kg

= Density of water =

g = Acceleration due to gravity =

Volume of mattress

Weight of water displaced is equal to the buoyant force

Mass of water

Mass of person would be

Weight of the person would be

The air mattress could hold a person that weighs up to .

acceleration = (change in speed) / (time for the change)

change in speed = (20-120)= -100 m/s.

1.5 min = 90 sec

acceleration = -100/90 = -1.11 m/s^2.

we don't care about the 150kg or the 2,500 meters. they don't make any difference.

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