Question

Derive the formula

Upthrust = weight of the liquid displaced by the block.​

Answer 1

$\huge{\red{\mathfrak{\underline{\underline{AnSwEr}}}}}$

${\green{\boxed{\blue{\boxed{\tt{\orange{Derivation \ of \ Archimedes \ principle}}}}}}}$

The mass of liquid displaced is:

$mass = density \times volume = p \times v$

This this is because density (p) is defined as:

$density = \frac{mass}{volume}$

Thus the weight of displaced liquid is :

$weight = mass \times acceleration \\ w = m\times g \\ w = p \times v \times g$

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,

$thrust = p \times v \times g$

Where

• p is the density of liquid
• v is the volume of liquid displaced
• g is acceleration due to gravity

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.

▭▬▭▬▭▬▭▬▭▬▭▬▭▬▭▬▭▬▭

Hope it's help

Please mark me as brainliest (◠‿◕)