You place a block of wood into a beaker of water and it floats. What can you say about the buoyant force on the block?

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You place a block of wood into a beaker of water and it floats. What can you say about the buoyant force on the block?

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Answer 1 · 2016-04-26T14:50:53

The buoyant force is stronger than the gravity force (the block's weight). Consequently, the block's density is smaller than water's density.

Explanation:

Archimedes principle affirms that a body submerged in a fluid (for example a liquid, or more precisely, water) experiences an upward force equal to the weight of fluid (liquid, water) displaced.

Mathematically,

buoyant force $= F_{b} = V_{b} \cdot d_{w} \cdot g$ $= F_b = V_b *d_w*g$
$V_{b} =$ $V_b =$ body volume
$d_{w} =$ $d_w =$ water density
$g =$ $g =$ gravity acceleration

while the weight $W = V_{b} \cdot d_{b} \cdot g$ $W= V_b*d_b*g$

$d_{b} = b o d y d e n s i t y$ $d_b= body density$

As the body floats $\Rightarrow F_{b} > W \Rightarrow d_{w} > d_{b}$ $=> F_b > W => d_w>d_b$

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You place a block of wood into a beaker of water and it floats. What can you say about the buoyant force on the block?

1 Answer

Explanation:

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