Question

Question #40068

Answer 1

Bouyant force will decrease as it makes the volume of the object

Explanation:

As Archimedes' principle explains:

The apparent weight of an object, `W_"apparent"`, in a fluid equals to its weight, `W`, minus the weight of the fluid which occupes its volume, `B`

`W_"apparent" = W - B`

where `B` is buoyant force.

If you put a body on a fluid, it will occupe some volume of fluid. If this fluid has a density `rho`, and the volume of the object is `V`, the mass of fluid which will be occupied is:

`m_"fluid" = rho V`

And the weight of this mass is right the buoyant force:

`B = m_"fluid" cdot g = rho V g`

As you see, buoyant force does not depend on the mass of the submerged body, but its volume. If you decrease its size, `B` will reduce.