A piece of cork has a volume of 10 cm cube. find the net force on the cork if it is completely submerged and then released.

(density of cork=200kg/m^3)

The force required to submerge something underwater can be found from Archimedes principle:

FB=pwVg

Where FB is the buoyant force, pw is the density of water (1g/ml), V is volume of the water displaced, and g is gravity. The key here is V. The volume of water displaced by the cork is equal to the volume of cork. Therefore, the required force is

F=1 g/cm³ x 10 cm³ x 9.8 m/s² = 98 N