Asubmarine has a mass of 10,000 metric tons. how much water must be displaced for the sub to be in equilibrium just below the ocean surface?

To solve this problem we will apply the concepts related to the Pascal principle for which the balance of Forces between the Buoyancy Force and the body weight is defined.

We define the weight of the body in the international system as

At the same time, the force caused by seawater as

Note: Remember that the definition of density tells us that

Here,

m = mass

Density

V = Volume

g = Gravity

As a reaction force is the buoyancy force then

If the body is in balance then the balance of forces tells us that

Therefore the total water displaced is

here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be