Whether a body will float or sink in a liquid depends on the relative densities of the body and the liquid. The density of an object is defined as its mass per unit volume.
If the density of the body is less than the density of the liquid, the body will float. This means that the body is less dense than the liquid, so it will displace a weight of liquid equal to its own weight. The buoyant force acting on the body will be greater than its weight, causing it to float and remain partially or completely submerged in the liquid.
Mathematically, this can be expressed as:
Density of the body < Density of the liquid
Buoyant force > Weight of the body
If the density of the body is greater than the density of the liquid, the body will sink. This means that the body is denser than the liquid, so it will displace a weight of liquid less than its own weight. The buoyant force acting on the body will be less than its weight, causing it to sink and rest at the bottom of the liquid.
Mathematically, this can be expressed as:
Density of the body > Density of the liquid
Buoyant force < Weight of the body
In summary, the relationship between the densities of the body and the liquid determines whether the body will float or sink. If the body's density is less than the density of the liquid, it will float. If the body's density is greater than the density of the liquid, it will sink.
Answers & Comments
Verified answer
Answer:
It is actually determined by mass of body or better to say by it's weight and density of liquid.
Because liquid exert buoyant force = volume of body * density of liquid *g
Now when weight equals or less than the buoyant force, it floats
And when weight is more than the buoyant force exerted by liquid, then it sinks.
Hope it helps!!
Explanation:
Whether a body will float or sink in a liquid depends on the relative densities of the body and the liquid. The density of an object is defined as its mass per unit volume.
If the density of the body is less than the density of the liquid, the body will float. This means that the body is less dense than the liquid, so it will displace a weight of liquid equal to its own weight. The buoyant force acting on the body will be greater than its weight, causing it to float and remain partially or completely submerged in the liquid.
Mathematically, this can be expressed as:
Density of the body < Density of the liquid
Buoyant force > Weight of the body
If the density of the body is greater than the density of the liquid, the body will sink. This means that the body is denser than the liquid, so it will displace a weight of liquid less than its own weight. The buoyant force acting on the body will be less than its weight, causing it to sink and rest at the bottom of the liquid.
Mathematically, this can be expressed as:
Density of the body > Density of the liquid
Buoyant force < Weight of the body
In summary, the relationship between the densities of the body and the liquid determines whether the body will float or sink. If the body's density is less than the density of the liquid, it will float. If the body's density is greater than the density of the liquid, it will sink.