Question

A block of wood with the dimensions 0.12m height x 0.34m breadth x 0.43m length floats along a river with the broadest face facing down. The wood is floating in the river and a height of 0.053m is under water. What is the density and mass of block?(density of water 1000kg/cubic meter)

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Answer 1

Answer:

The mass of the block is equal to the mass of the water that is displaced. That is the rule of buoyancy. The buoyant force is equal to the weight of the mass of the fluid displaced.

So we need the volume of the water displaced. That volume is

0.34

m

x

0.43

m

x

0.053

m

=

0.00775

m

3

Since

density

=

mass

volume

,

mass

=

density

⋅

volume

Therefore the mass of the displaced water is

1000

k

g

m

3

⋅

0.00775

m

3

=

7.75

k

g

And therefore the mass of the block is 7.75 kg.

Answer 2

~$\small \blue {\sf{Answer }}$✨❤

The mass of the block is equal to the mass of the water that is displaced. That is the rule of buoyancy. The buoyant force is equal to the weight of the mass of the fluid displaced.

So we need the volume of the water displaced. That volume is0.34mx0.43mx0.053m

=0.00775m^3

Since density

= mass / volume ,

mass = density x volume

Therefore the mass of the displaced water is1000kgm^3

0.00775m^3=7.75kg

And therefore the mass of the block is 7.75 kg.

$\huge \orange {\mathfrak{Thank You }}$