Because water is over 800 times more dense than air and it sticks to things better than air. That density means you encounter more resistance when you travel through it because you have to move more mass out of the way. That’s why boat propellers are so small compared to aircraft propellers. An aircraft has to move 800 times more air to generate the same amount of force in water.
A mattress is mostly air. Lifting a mattress out of water would usually involve the mattress being soaked. A soaked queen size mattress weighs about one metric ton.
Removing a floaty from a pool quickly usually sucks the water along with it, which acts like a suction cup, but doing so slowly has no such limitation as air can freely flow under it.
> where it takes a crane to remove a mattress from a pool
Mattresses are made of fluffy materials, often held apart by things like springs. A relatively small portion of their volume is actually solid material, the rest being composed of air.
If a mattress is dropped into a lake then it will soak up water, displacing the air inside the mattress with the much heavier and more dense water. Then when you try to pull it out you are actually trying to lift up much more weight than with a dry mattress.
You can try this for yourself in a tub or shower with a towel. First feel how heavy the towel feels when dry, then wet it thoroughly under the water. Now feel how much heavier it is. Then you can wring out the towel and see some of the water be pushed out which you were also lifting.
I don’t really understand your questions but if your asking why a mattress filled with 100 gallons of water is heavier than a floatie filled with weightless air it’s because water is heavy and air is not heavy. If your asking why things are less heavy underwater it’s because gravity and buoyancy make things seem weightless under water
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