Question

A rectangular air mattress has a length $2.0m$ a width $0.50m$ and thickness $0.08m$. What is the maximum mass of a man who lies on the mattress can float on water if the mass of the mattress is $2.0kg$. What is the density of the mattress?

Answer 1

A rectangular air mattress has a length$=2.0m$

Width $=0.5m$

Thickness $=0.08m$

Find the maximum mass of a man $=m$

Mass of the mattress $=2.0kg$

Find the density of the mattress$=?$

Density$=\frac{Force}{Area}=\frac{(m+2.0)\times 10}{2\times 0.5}=\frac{(m+2.0)\times 10}{1.0}=10(m+2)=10m+20=0$

$m=2kg$