What can be said about the density of the substance from which the body is made in comparison with the density

What can be said about the density of the substance from which the body is made in comparison with the density of water if a solid body of this material floats in water drowns in water floats on the surface of the water?

Each body placed in water is acted upon by an Archimedean force that seeks to “lift” the body up, equal to:

A = ro * g * V, where

ro is the density of water;

V is the volume of the body;

g is the acceleration of gravity.

Also, the body is affected by the force of gravity, which tends to “lower” the body down, equal to:

F = m * g = ro1 * V * g, where ro1 is the density of the body.

Based on these formulas, we can conclude:

1) if the body floats in water, then the density of the body and water are approximately equal;

2) if the body is drowning in water – the density of the body is greater than the density of water;

3) if the body floats on the surface of the water, the density of the body is less than the density of water.



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