Question

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

Answer 1

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