A volume equal to its own weight (Archimedes' Principle).
Volume
Any object which, if submerged, would displace 2 times its own volume. The density of the object could be well above 2 gms/cm^3. If that were not the case, then ships made of metal would never float in water. which has a much lower density.
Objects that are less dense than the environment in which they are immersed will float, unless they are tethered.
The specific gravity of the water in the Great Salt Lake is much higher than that of the Horsetooth Reservoir. You displace the same volume in both lakes, but you displace more weight of water in the Great Salt Lake, so by Archimedes Principe you get more lift.
In order to float, the ship will displace its own weight in water (i.e. 100 million Newtons). So how much water is 100 million Newtons? weight = m*g, so m = weight/g = 1e8/9.8 = about 10.2 million kg So 10.2 million kg of water will be displaced. For pure water, with a mass of 1g/cm^3 (which is the same as 1000 kg/m^3), that means the ship displaces about 10,200 cubic meters of water. If you want to get really technical, if the ship is used in the ocean, the density of sea water is more like 1030 kg/m^3, so the ship would only displace about 9900 m^3 of sea water.
Anything heavier than water sinks; anything lighter than water floats. Or, another way to say it: anything with a higher density than water (water weighs about a gram per cubic centimeter), or a higher specific gravity than water, sinks. If the object weighs less than the weight of water that it displaces, then it floats.
an amount equal to the volume of the object.
an amount equal to the volume of the object.
Any object which, if submerged, would displace 2 times its own volume. The density of the object could be well above 2 gms/cm^3. If that were not the case, then ships made of metal would never float in water. which has a much lower density.
There is nothing strange about the fact that a given object can float in a denser substance and sink in a substance which is less dense. Objects float when the amount of liquid that they displace weighs as much as the object. So the denser the liquid, the less liquid has to be displaced in order for an object to float. If an object is fully submersed and still cannot displace enough liquid to equal its own weight, then it sinks. This will happen any time an object is in a liquid which is less dense than the object. If the liquid is more dense than the object, the object can float in it. Also note that the density of an object includes any air which the object contains. Hollow objects become less dense. Boats float even when they are built of dense materials, because their shape allows them to include a lot of air when they are displacing water. But if the boat leaks, water can fill the space that is supposed to be filled with air, and then the boat sinks. It is very logical.
An object will sink if it weighs more than the water it pushes away, and an object will float if it weighs less than the water it pushes away. The Greek mathematician Archimedes discovered that the amount of water displaced by an object depends on the mass of that object. Mass is the amount of matter in a substance, and dense objects have more mass than less dense objects. Dense objects that do not displace much water will sink, while less dense objects that displace a lot of water will float.
An amount that weighs as much as the ship does.
Archimedes put it that "Any object, wholly or partially immersed in a fluid, is buoyed up by a force equal to the weight of the fluid that is displaced by the object."So our aircraft carrier will only displace a volume of water equal to the weight of the ship. But the volume of the ship is much greater than that volume of water. So it floats.
The density of water is 1 g/cm cubed, and objects more dense that water will sink, while objects less dense than water will float. An object will sink if it weighs more than the water it pushes away, and an object will float if it weighs less than the water it pushes away. The Greek mathematician Archimedes discovered that the amount of water displaced by an object depends on the mass of that object. Mass is the amount of matter in a substance, and dense objects have more mass than less dense objects. Dense objects that do not displace much water will sink, while less dense objects that displace a lot of water will float.
the weight of the ship is equal to the amount of water displaced
That depends what object you want to float.
The density of water is 1 g/cm cubed, and objects more dense that water will sink, while objects less dense than water will float. An object will sink if it weighs more than the water it pushes away, and an object will float if it weighs less than the water it pushes away. The Greek mathematician Archimedes discovered that the amount of water displaced by an object depends on the mass of that object. Mass is the amount of matter in a substance, and dense objects have more mass than less dense objects. Dense objects that do not displace much water will sink, while less dense objects that displace a lot of water will float.
Because the material used to build them is formed into a shape that will displace a lot of water. As the shape settles into the water, once the weight of the displaced water is equal to the weight of the object, the object floats at that depth and doesn't settle any further. If the material were all rolled into a solid lump, it would displace much less water, and would sink like a rock.