# Volume of Water Displaced by Mass: Does Height Matter?

• bk2001050
Therefore, it does not apply to the situation where an object is initially dropped into a bucket of water. In summary, Archimedes' principle does not apply to the situation where an object is initially dropped into a bucket of water, as it only applies to objects that are already in the water. The initial "splash" that occurs is influenced by factors such as the height from which the object is dropped, the depth of the water, and the size of the container. However, after the waves have died down and the water has returned to the container, Archimedes' principle can be applied as a "static" principle. There is no standard constant or experiment to determine the amount of water displaced in this situation.

#### bk2001050

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?

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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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.

## 1. How does the height of an object affect the volume of water it displaces?

The height of an object does not have a direct impact on the volume of water it displaces. The volume of water displaced is determined by the mass and density of the object, not its height.

## 2. Does the density of the object affect the volume of water displaced?

Yes, the density of an object does affect the volume of water it displaces. Objects with a higher density will displace more water than objects with a lower density, assuming they have the same mass.

## 3. Is there a relationship between the mass of an object and the volume of water it displaces?

Yes, there is a direct relationship between the mass of an object and the volume of water it displaces. Objects with a higher mass will displace more water than objects with a lower mass, assuming they have the same density.

## 4. Can an object with a lower density displace more water than an object with a higher density?

No, an object with a lower density cannot displace more water than an object with a higher density, assuming they have the same mass. Density is a measure of how tightly packed the molecules are in an object, and objects with a higher density will sink in water, displacing more water in the process.

## 5. How can the volume of water displaced by an object be calculated?

The volume of water displaced by an object can be calculated by dividing the mass of the object by the density of water. This will give you the volume of water in cubic meters that the object will displace.