Respuesta :
Density of wooden block is 850 kilogram per cubic meter
Solution:
Given that wooden block immersed partially into water
There were 15% of the total volume of the block exposed and 85% of the total volume immersed in water
To find: density of the wooden block
The upward force exerted by any fluid upon a body placed in it is called buoyant force
Buoyant force is balanced by weight force of block
Buoyant force is weight of water displaced by block
Buoyant force = [tex]\rho_{w} V_{2} g[/tex]
Density of water = [tex]\rho_w[/tex] = 1000 kg/m3
[tex]V_2[/tex] = volume of block in water = 0.85 V
[tex]V_1[/tex] = Volume of block in air = 0.15 V
Weight of block = [tex]\rho V g[/tex]
Therefore,
[tex]\rho V g = \rho_{w} V_{2} g\\\\\rho V = \rho_{w} V_{2}\\\\ \rho V = 1000 \times 0.85V\\\\\rho = 1000 \times 0.85\\\\\rho = 850[/tex]
Thus density of wooden block is 850 kilogram per cubic meter
