Question

     A cube of wood having an edge dimension of 20.0 cm     and a density...

     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?

Homework Answers

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.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A cube of wood having an edge dimension of 18.7 cm and a density of 645...
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 19.7 cm and a density of 655...
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...
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...
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...
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 of wood 3 cm on each edge floats in water with three fourths of...
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...
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....
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?
A block of wood of mass 10.8 kg and density 4.42 x 10^2 kg/m3, floats on...
A block of wood of mass 10.8 kg and density 4.42 x 10^2 kg/m3, floats on water. (a) What is the minimum amount of aluminum (density 2.70 x 10^3 kg/m3) that can be placed on top of the wood block and cause the block of wood and the aluminum to sink? (b) If instead it was a block of ice of mass 10.8 kg and density 8.90 x 10^2 kg/m3. What is the minimum amount of aluminum that can be...
A block of wood (density 713 kg/m3) of length L = 50.0 cm, width W =...
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?