Is it true that the depression on the cushion is much less when a person stands on a cushion, than when he lies down on it?

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True

False

answer is B.

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Detailed Solution

The above statement is false.
We know that,

P = \frac{F}{A}

, where

P

is the pressure,

A

is the surface area and

F

is the force exerted on it.
We can see that pressure is inversely proportional to area.
When a person is standing on the cushion, a very small area of his body is in contact with the cushion. Due to this, a significant pressure acts on the cushion. This causes more depression to be created on the cushion. On the other hand, when the person lies on the cushion, his entire body is in contact with it, and hence a large area is in contact with it. Hence, less pressure acts on the cushion, and less depression is created on it.
The correct statement would be that the depression on the cushion is much less when a person lies down on it than when he stands on it.

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