an object is immersed in a fluid is buoyed up by a force equal to the weight of the fluid displaced by the object. This became known as Archimede's principle. The weight of the displaced fluid can be found mathematically. The fluid displaced has a weight W = mg. The mass can now be expressed in terms of the density and its volume, m = pV. Hence, W = pVg.
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Archimedes' principle states that when a body is immersed partially or completely in a liquid, it experiences an upthrust, or buoyant force, which is equal to the weight of the amount of the object that's being submerged.
Yes, Archimedes is best known for his principle that is Archimedes' principle ( or the law of buoyancy )
The Principle or law states that the buoyant force on an object in a fluid is an upward force equal to the weight of the volume of fluid that the object displaces. In other words, imagine that you sat down in a tub full of water and the water splashes out the edges. You notice that so you take that displaced water and measure the amount. However much you displaced of that fluid is the amount lighter you become in the rest of the liquid.
For a free fall, the effective value of acceleration due to gravity is zero. As a result, the buoyant force will not exit. Therefore, Archimedes's principle will not hold good in this situation.
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Then the object will sink.