Question

A cube with edge length *L* = 0.24 m and density
*ρ*_{c} = 0.93×10^{3} kg/m^{3}
floats in equilibrium in a liquid of density *ρ*_{l}
= 1.5×10^{3} kg/m^{3}, 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 of edge length and densities are *L*
= 0.24 m, *ρ*_{c} = 0.93×10^{3}
kg/m^{3}, and *ρ*_{l} = 1.5×10^{3}
kg/m^{3}. With these values, how high, in meters, is the
top of the cube above the liquid’s surface.

Answer #1

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 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?

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 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.

You have a large cube with an edge length of 4 m and a density
of 6.6 kg/m3. Calculate the volume of the cube.
Calculate the mass of the cube
calculate the amount of pressure that the cube exerts on the
floor.

A block of wood
(density 713 kg/m3)
of length L = 50.0 cm, width W = 40.0 cm, and thickness
H
=
30.0 cm floats in water (density
1.000 × 103
kg/m3).
What is the
volume percentage of the wood that is above water?
If the wood is
set to oscillate, what is its frequency?
How much can the
wood carry without sinking?

What is the density (in kg/m3) of a woman who floats in
freshwater with 4.32% of her volume above the surface? (This could
be measured by placing her in a tank with marks on the side to
measure how much water she displaces when floating and when held
under water.) (Give your answer to at least three significant
figures.) What percent of her volume is above the surface when she
floats in seawater?

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