The buoyant force acting on an object is determined by these three factors:

1. Density of the fluid: The denser the fluid, the stronger the buoyant force. This is because denser fluids exert more pressure at a given depth.

2. Volume of the object submerged: The larger the volume of the object submerged in the fluid, the larger the buoyant force. This is because more fluid is being displaced, which leads to a greater pressure difference.

3. Acceleration due to gravity: The buoyant force is directly proportional to the acceleration due to gravity. This means that the stronger the gravitational field, the greater the buoyant force.

Formula for Buoyant Force:

The buoyant force (F_B) can be calculated using Archimedes' principle:

F_B = ρ_f * V_sub * g

where:

* ρ_f is the density of the fluid

* V_sub is the volume of the object submerged in the fluid

* g is the acceleration due to gravity

In simpler terms:

The buoyant force is equal to the weight of the fluid displaced by the object. This means that the buoyant force will be greater for objects that displace more fluid.

Example:

A boat floats because the buoyant force acting on it is equal to its weight. The boat displaces a volume of water equal to its own volume, and the weight of this displaced water is equal to the weight of the boat.