Will an object with a density of 1.05 g/ml float or sink in water? Explain.

The density of water is very close to 1.0 gm/ml. The object is more dense than water. It will sink in water.

Answered by AL2006 | 2024-06-10

The object will sink, because it is more dense than water.
Let's see this in detail. There are two forces acting on the object:

its weight, which points downward, given by

W = m g = ρ o ​ V o ​ g
where ρ o ​ is the object's density, V o ​ is its volume, and g is the gravitational acceleration.

The buoyancy force, which points upward, given by

B = ρ w ​ V w ​ g
where ρ w ​ is the water density, V w ​ is the volume of water displaced by the object.
We see that it is always B"> W > B , so the object will sink. In fact:
\rho_w"> ρ o ​ > ρ w ​ . We are told the object's density is 1.05 g/mL, while the water density is 1.00 g/mL.
V o ​ ≥ V w ​ : the two volumes are equal when the object is completely submersed, and the volume of water displaced cannot be greater than the volume of the object.
So, W > B, and the object will sink.

Answered by skyluke89 | 2024-06-11

An object with a density of 1.05 g/mL will sink in water because its density is greater than that of water, which is approximately 1.00 g/mL. Thus, the weight of the object exceeds the buoyant force acting on it. In conclusion, since the object's density is higher, it will not float.
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Answered by skyluke89 | 2024-09-30