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-- The aggregate density of the wood block is 700/1000 = 0.7 the density of water.

-- So, as soon as the wood has displaced 0.7 of its volume in water, it has displaced

its entire weight in water, and floats.

-- The wood floats with 0.7 of its volume below the surface and 0.3 of its volume above it.

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Does the tendency for an object to sink or float have to do with the object's density?

Yes. The object will sink if its density is greater than the fluid it is placed in.


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Buoyancy is the upward force exerted on an object immersed in a fluid, such as water or air. The buoyant force is equal to the weight of the fluid displaced by the object, according to Archimedes' principle. Objects will float if their density is less than the density of the fluid they are placed in, and sink if their density is greater.


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No, whether an object sinks or floats depends on its density compared to the density of the fluid it is placed in. An object with a lower density than water will float, while an object with a higher density will sink. The weight alone does not determine if the object will sink or float.


What is the density of an object with a mass of 5g that when placed in a graduated cylinder raises the volume of water from 30mL to 45mL?

The volume of the object displacing the water is the difference between the final volume (45mL) and the initial volume (30mL), which is 15mL. Since 1mL is equivalent to 1cm^3, the volume of the object is 15cm^3. To find the density, divide the mass (5g) by the volume (15cm^3) giving a density of 0.33 g/cm^3.


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