Question

explain why when a person stands on a cushion the depression is much more than when he lies down on it

Answer 1

Hey there !

We know that Pressure is inversely proportional to area and directly proportional to force.

So if there is more area, then pressure or depression is less. But if less area pressure or depression is more.

Since while lying down, we occupy a large space. Due to this pressure gets divided over large area and hence less pressure is exerted.

But while we stand we use small amount of area due to which we exert more pressure or depression.

Hence when a person stands on a cushion the depression is much more than when he lies down on it.

Hope my answer helped !

Answer 2

pressure is inversely proportional to area
therefore
case1
pressure =force/area of standings man
let force be constant
pressure is inversely proportional to area of standings man
case2
p=f/area of lying man
therefore
p is inversely proportional to area of lying man
hence area of standings man <areas of lying man
hence p will more is standing position