Question

Prove that F = pvg and p=hpg

Answer 1

Answer:

Archimedes Principle Derivation

The mass of the liquid displaced is.

Mass = Density × Volume = ρ × V

This is because density (ρ) is defined as

Density,ρ = MassVolume = MV

Thus the weight of that displaced liquid is:

Weight = Mass × Acceleration due to gravity

W = M × g = ρ × V × g

Thus, from the Archimedes principle, we can write:

The apparent loss of weight = weight of water displaced = ρ×V×g

Thus, the Thrust force is,

Thrust = ρ × V × g

Where,

ρ is the density of liquid

V is the volume of liquid displaced

The thrust force is also called the buoyant force because it is responsible for objects to float. Thus, this equation is also called the law of buoyancy.

Explanation: