Displacement of Water

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Archimedes says that the amount of water displaced by a mass is equal to the volume of the mass. I had a doubt. If I fill a bucket of water to the brim and drop an object from a certain height, does the height factor determine the volume of the water displaced. In simple words, does the height from which a mass is dropped affect the amount of water displaced? If so, how?
Is there any standard constant or some proportional constant that has been already found out and if so, can anybody suggest some standard experiment or procedure to determine the above?
 

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HallsofIvy
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Archimedes principal says nothing about this situation. Archimedes principal applies only to an object that is already in the water, not to what happens as it initially goes into the water.

There will be an initial "splash" if something is dropped into it. How high that will be depends on many factors- the kinetic energy of the object (which depends on the height from which it is dropped), the depth of the water, and size of the "container" are amoung them. If the container is large enough that all the water "splashed" returns to the container, then eventually, after waves have died down, Arichimedes principal applies. Archimedes principal is a "static", not a "dynamic", principal.
 
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arildno
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Archimedes' principle states nothing of such a sort.
Archimedes' principle concerns the force of buoyancy, not the incompressibility of a fluid, which you are talking about.
 

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