Arectangular air mattress is 2.0 m long, 0.50 m wide, and0.08
m thick. if it has a mass of 2.0 kg, what additional mass canit
support in water?

78kg

Explanation:

Let water density . We can calculate the buoyant force generated by water displaced by the air mattress from the volume of the mattress:

where l, w, t are the length, width and thickness of the mattress, respectively.

Let g = 10 m/s2. The buoyant force is then:

Let g = 10 m/s2. The gravity force acting on the mattress is

So the mattress can still support an additional gravity of 800 - 20 = 780N or 78kg

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