# Quick explanation. An object will stay afloat as long as it weighs less than or equal to its displaced fluid weight in water?

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I understand buoyancy maybe 85%. I just to understand the answer to this question to piece everything together because it's been really bothering me. Thank you.

I understand buoyancy maybe 85%. I just to understand the answer to this question to piece everything together because it's been really bothering me. Thank you.

Something along those lines, yes.

The thing to remember about buoyancy is that it's always *competing* with the weight of the object dropped in the water, meaning that it opposes the force of gravity that's pushing the object towards the bottom.

In this regard, the weight of the object is *pushing down* on the object and the weight of the displaced water, i.e. the buoyant force, is *pushing up* on the object.

This means that as long as the force that's pushing up is

greaterthan the force that's pushing down, your object will float on the surface of the liquid.When the two forces are

equal, the object willhoverwithin the liquid, not going up towards the surface and not going down towards the bottom.When the force that's pushing down is

greaterthan the force that's pushing down, the object will sink.

Now simply replace the force that's pushing down with the weight of the object and the force that's pushing up with the weight of the displaced water and you've got

Archimedes' Principle.Mind you,

drag, which also plays a role in balancing out the two forces, andsurface tensionare usually omitted from the discussion.

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Yes, that's correct. According to Archimedes' principle, an object will stay afloat as long as it weighs less than or equal to the weight of the fluid it displaces. This principle applies to any fluid, including water.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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