Why Does a Cork Float Horizontally Instead of Vertically?

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    Floating Symmetry
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A cork floats horizontally on water due to its shape and the principles of buoyancy and gravity. When dropped, the cork's design creates a state of unstable equilibrium when positioned vertically, meaning any slight disturbance can cause it to tip. This instability leads the cork to settle in a horizontal position, where the forces acting on it are balanced. The equal distribution of buoyant force and gravitational pull in this orientation allows it to remain afloat. Thus, the cork's tendency to float horizontally is a result of its shape and the dynamics of buoyancy.
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Suppose we drop a bottle cork on water. It has a shape similar to -rougly- a pyramid i.e. upper area A1 is smaller than bottom A2. Therefore it's vertically as well as horizontally symmetric.
But as we drop it, it does not stay vertical but horizontal making upside and downside areas (A) equal.
Why? Why doesn't it stay vertical? Has it got to do with buoyant force and gravity? How?
 
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If I understand you correctly, you are asking “Why doesn’t the cork remain with its axis of symmetry in the vertical?”. The answer to that is that in that position, the cork is in a state of unstable equilibrium, and any perturbation will upset it.
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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