Question

A cube of wood having an edge dimension of 20.0 cm

and a density of 650 kg/m3 floats on water.

(a) What is the distance from the horizontal top surface

of the cube to the water level? (b) What mass of lead

should be placed on the cube so that the top of the

cube will just level with the water surface?

Answer #1

a) Let the edge of cube be 'a' and required distance be 'x'. Then the volume of cube submerged in water is

Now, applying Archimedes principle, weight of the cube is balanced by buoyant force.

b) Let 'm' mass needs to be placed over. Then, whole cube is in level with water surface.

A cube of wood having an edge dimension of 18.7 cm and a density
of 645 kg/m3 floats on water. (a) What is the distance from the
horizontal top surface of the cube to the water level? cm (b) What
mass of lead should be placed on the cube so that the top of the
cube will be just level with the water surface?

A cube of wood having an edge dimension of 18.9 cm and a density
of 645 kg/m3 floats on water.
(a) What is the distance from the horizontal top surface of the
cube to the water level?
cm
(b) What mass of lead should be placed on the cube so that the top
of the cube will be just level with the water surface?

A cube of wood having an edge dimension of 19.7 cm and a density
of 655 kg/m3 floats on water.
(a) What is the distance from the horizontal top surface of the
cube to the water level? __________cm
(b) What mass of lead should be placed on the cube so that the
top of the cube will be just level with the water surface?
____kg

A cube of wood with dimension 20 cm and density 650
kg/m3 floats in water.
a.)What is the distance from the top surface of the cube to the
surface of the water?
b.)How much mass of lead is required to be put on cube so that
the top of the cube is level with the surface of the water?

A wood cube 0.26 m on each side has a density of 730 kg/m3 and
floats levelly in water.
What is the distance from the top of the wood to the water
surface? 7.0 x 10^-2m
What mass has to be placed on top of the wood so that its top is
just at the water level?

A wood cube 0.28m on each side has a density of 680kg/m3 and
floats levelly in water.
What is the distance from the top of the wood to the water
surface? (in m)
Express your answer using two significant figures
What mass has to be placed on top of the wood so that its top is
just at the water level? (kg)
Express your answer using two significant figures.

A cube with edge length L = 0.24 m and density
ρc = 0.93×103 kg/m3
floats in equilibrium in a liquid of density ρl
= 1.5×103 kg/m3, with the top of the cube a
distance d above the liquid’s surface, as shown in the
figure.
(a) If the density of the cube is equal to the
density of the liquid, how high, in meters, will the top of the
cube be above the surface of the liquid?
(b) The given values...

A cube of wood 3 cm on each edge floats in water with three
fourths of its volume submerged. What is the weight, mass and
specific gravity of the wooden cube?

A cube of side length 10.0 cm and made of unknown material
floats at the surface between water and oil. The oil has a density
of 810 kg/m3. If the cube floats so that it is 72% in
the water and 28% in the oil, what is the mass of the cube and what
is the buoyant force on the cube?

A block of wood has a mass of 3.57 kg and a density of 588
kg/m3. It is to be loaded with lead so that it will
float in water with 0.82 of its volume immersed. The density of
lead is 1.13 ? 104 kg/m3.
(a) What mass of lead is needed if the lead is on top of the
wood?
(b) What mass of lead is needed if the lead is attached below the
wood?

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