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8_murik_8 [283]
3 years ago
13

A rectangular air mattress is 2.0 m long, 0.50 m wide, and0.08

Physics
1 answer:
Alexandra [31]3 years ago
8 0

Answer:

78kg

Explanation:

Let water density \rho = 1000 kg/m^3. We can calculate the buoyant force generated by water displaced by the air mattress from the volume of the mattress:

V = l*w*t = 2*0.5*0.08 = 0.08 m^3

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

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

F_b = g*V\rho = 0.08 * 1000 * 10 = 800N

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

F_g = mg = 2*10 = 20 N

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

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