Wednesday

October 22, 2014

October 22, 2014

Posted by **Anonymous** on Tuesday, May 1, 2012 at 10:35am.

bucket of water and floats upright with its sides in a horizontal or vertical orientation.

What is the mass of the cube, what is the buoyancy force acting on the cube and how

much of the cube projects above the surface?

- physics -
**Elena**, Tuesday, May 1, 2012 at 4:09pmLet the length above the surface of the water is «x”,

a =0.120 m,

ρ1/ρ2 = 0.9. Since the density of water is ρ2 = 1000 kg/m³,

the density of wood is ρ1 = 900 kg/m³.

m•g = F(buoyancy force),

ρ1•V•g = ρ2•V1 •g

ρ1•a³•g = ρ2•a²•(a-x)•g,

ρ1/ ρ2 = (a-x)/a =0.9.

x = a – 0.9•a = 0.1•a =0.012 m.

The mass of the cube is

m = ρ1•a³ = 900•(0.12)³=1.56 kg.

The buoyancy force is

F = ρ2•a²•(a-x)•g = 1000•(0.12)² •(0.12 -0.012) •9.8 = 15.24 N.

**Answer this Question**

**Related Questions**

Physics - Fluids - A cube of side length 11.0 cm and made of unknown material ...

Physics - A wooden cube of side 5cm floats in water 200cm^2 of its depth below ...

Physics - A hydrometer is an instrument for measuring the specific gravity of a ...

Physics - A cube of oak with sides 15cm long floats upright in water with 10.5cm...

11th grade Physics - An open pipe 0.40m in length is placed vertically in a ...

Physics - A wood cube 0.20m on each side has a density of 730kg/m3 and floats ...

Physics - small cube of copper (density = 8930 kg/m3) is used to support a ...

Math - A wooden block that is a rectangular prism is 12 inches long. Melinda ...

Math - A wooden block that is a rectangular prism is 12 inches long. Melinda ...

science - Imagine that you fill a bucket to the top with water and then place ...