Posted by Anonymous on Tuesday, May 1, 2012 at 10:35am.
A wooden cube with a specific gravity of 0.90 and side length 0.120 m is placed into a
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 4:09pm
Let 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•(ax)•g,
ρ1/ ρ2 = (ax)/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•(ax)•g = 1000•(0.12)² •(0.12 0.012) •9.8 = 15.24 N.
Answer This Question
Related Questions
 Physics  A wooden cube of side 5cm floats in water 200cm^2 of its depth below ...
 Physics  Fluids  A cube of side length 11.0 cm and made of unknown material ...
 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, buoyance  A wood cube 0.20m on each side has a density of 730kg/m3 and...
 physics  Q.A cube of wood 20cm on each side,floats in water so that 30% is ...
 physics  Q.a cube of wood 20cm on each side,floats in water so that 30% is ...
 Physics  A fire helicopter carries a 555 kg empty water bucket at the end of a...
More Related Questions