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A body lying on a mattress stands up on it. He observes that the mattress is now depressed deeper down. Why does this happen?

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When the person was lying on the mattress, his weight was distributed throughout his body that is his surface area in contact with the mattress increases and as we know the pressure is inversely proportional to area, therefore, less pressure will be exerted on the mattress. As soon as he stands on his feet, the area decreases which is in contact with the mattress and therefore pressure increases causing the mattress to be depressed more.

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