A wood cube 0.40 m on each side has a density of 750 kg/m³ What mass...

A wood cube 0.40 m on each side has a density of 750 kg/m³ What mass has to be placed on top of the wood so that its top is just at the water level?

Solutions

Expert Solution

Weight required to be placed on the top of the wood is,

            W = Upthrust force - Weight of the wood
                = (density of water- density of wood) V g

                 = (1000 kg/m³ - 750 kg/m³)(0.4 m)³(9.8 m/s²)

                  = 156.8 N

Mass required to be placed on the top of the wood is,

              M = W / g

                 = 156.8 N / 9.8 m/s²

                 = 16 kg

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A cubical block of wood 0.100 m on a side and with density of 550 kg/m3...

A cubical block of wood 0.100 m on a side and with density of 550 kg/m3 floats in a jar of water. Oil with a density of 750 kg/m3 is poured on the water until the top of the oil layer is 0.035 m below the top of the block. a) How deep is the oil layer? b) What is the gauge pressure at the block’s lower face?

3. A block of wood has a mass of 3.67 kg and a density of 600...

3. A block of wood has a mass of 3.67 kg and a density of 600 kg/m3. It is to be loaded with lead so that it is still floating in water completely immersed. What mass of lead is needed (density of lead is 11,300 kg/m3)

A cube of wood which is 0.5 m on each side is held completely submerged under seawater.

A cube of wood which is 0.5 m on each side is held completely submerged under seawater. Calculate the buoyant force (B) acting on this block, and what quantity of force is required to keep it submerged? Psw = 1.030 kg/m3

A lead cube is cut that is 1.500 cm on each side. The density of lead...

A lead cube is cut that is 1.500 cm on each side. The density of lead is 11.35 g/cc. How many atoms of lead are in the cube if only 60% of the cube is occupied by lead atoms? Use "E" for scientific notation. A copper atom has a diameter of 128pm. How many centimeters is a line containing exactly 1.0 moles of copper atoms sequentially arranged? Use "E" for scientific notation. Calculate the mass ( in grames) of cobalt...

A block of wood of mass 10.8 kg and density 4.42 x 102 kg/m3, floats on...

A block of wood of mass 10.8 kg and density 4.42 x 102 kg/m3, floats on water. (a) What is the minimum amount of aluminum (density 2.70 x 103 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 102 kg/m3. What is the minimum amount of aluminum that can be...

An equilateral triangle 7.0 m on a side has a m1 = 25.00 kg mass at...

An equilateral triangle 7.0 m on a side has a m1 = 25.00 kg mass at one corner, a m2 = 85.00 kg mass at another corner, and a m3 = 115.00 kg mass at the third corner. Find the magnitude and direction of the net force acting on the 25.00 kg mass.

a) A block of Aluminum has a density of 2700 kg/m^3 and a mass of 63...

a) A block of Aluminum has a density of 2700 kg/m^3 and a mass of 63 grams. The block is tied to one end of a string and the other end of the string is tied to a force scale. The block is allowed to hang in the air from the string. Calculate the force which will be registered on the scale. b) The block remains tied to the string but is now completely submerged in a container of water....

A 8.6-kg cube of copper (cCu = 386 J/kg-K) has a temperature of 750 K. It...

A 8.6-kg cube of copper (cCu = 386 J/kg-K) has a temperature of 750 K. It is dropped into a bucket containing 5.1 kg of water (cwater = 4186 J/kg-K) with an initial temperature of 293 K. 1) What is the final temperature of the water-and-cube system? K 2) If the temperature of the copper was instead 1350 K, it would cause the water to boil. How much liquid water (latent heat of vaporization = 2.26 × 106 J/kg) will...

1.A 0.40-kg mass, attached to the end of a 0.75-m string, is whirled around in a...

1.A 0.40-kg mass, attached to the end of a 0.75-m string, is whirled around in a circular horizontal path. If the maximum tension that the string can withstand is 450 N, then what maximum linear speed can the mass have if the string is not to break? A.370 m/s B.22 m/s C.19 m/s D.29 m/s 2.A point on the rim of a 0.25-m-radius rotating wheel has a centripetal acceleration of 4.0 m/s2. What is the angular speed of the wheel?...

3. A cube of Brass (B = 70 GPa) measuring 1.0 m on each side is...

3. A cube of Brass (B = 70 GPa) measuring 1.0 m on each side is submerged under water. It is lowerd to a depth where a force "F" is acting perpendicularly into each side, reduces the cube's volume by 1.8 %. (a) Calculate the size of this force. 2.A researcher examines a piece of fresh human cartilage, with an area of 1.9 cm2. She observes that when subjected to a tensile force of 194 N it stretches by 4.8...

Subjects