The block in this illustration is floating in water, which has a density of 1.00 g/cm3 .What is a good estimate of the density of the block if about 30 percent of the block is b…

Question

asked Mar 11, 2021 196k views

1 Answer

Wizzup · Answer 1 · 2021-03-16T00:41:30+0000

Answer : The density of the block is estimated to be,
.

Explanation :

Density of the water,
$\rho_w=1.0 g/cm^3$

As we know that,

Buoyant force =
$\rho* volume* g$

where,

g = gravitational acceleration

volume of the block = v

density of the block =
$\rho_o$

Weight of the Block = Buoyant force exerted by water

$\rho_o* v* g=\rho_w* 30\%\text{ of volume of block}* g$

$\rho_o* v* g=\rho_w* 0.30v* g$

$\rho_o* v* 9.8 m/s^2=1 g/cm^3* 0.30v* 9.8 m/s^2$

$\rho_o=0.30 g/cm^3$

Thus, the density of the block is estimated to be,
.