A board that is 20.0cm wide, 5.00cm thick, and 3.00 meters long has a density 340...

A board that is 20.0cm wide, 5.00cm thick, and 3.00 meters long has a density 340 kg/m³ . The board is floating partially submerged in water of density 1000 kg/m³. What fraction of the volume of the board is below the surface of the water?

Solutions

Expert Solution

In the given question,first archimedes principle is applied on the board which is partially submerged in water,then formula for the buoyant force is written and finally the fraction of the board under watere is calculated by deriving the last formula relating the densities of the board and water to the volume submerged and total volume of the board.

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A chain lying on the ground is 10 meters long and it has a density of...

A chain lying on the ground is 10 meters long and it has a density of ρ(x) = x(10 − x) kg/m. How much work is required to raise one end of the chain to a height of: (A) 6 meters? (B) 10 meters? (C) 14 meters?

A rectangular room is 12 meters long, 6 meters wide, and 3 meters high. 1] Calculate...

A rectangular room is 12 meters long, 6 meters wide, and 3 meters high. 1] Calculate the first three axial modes for the length of the room. 2] Find the wavelength, then convert to frequencies, assuming that the speed of sound in the room is 343 m/s. 3] Calculate the first 3 axial modes [Wavelenghts and frequencies] for the width of the room. 4] Calculate the first axial modes [Wavelenghts and frequencies] for the height of the room. It is...

Two movers carry a refrigerator by placing it on a light board 3.00 m long. The...

Two movers carry a refrigerator by placing it on a light board 3.00 m long. The refrigerator is a cube of 1 cubic meter with it’s center of mass at the center of the cube. One person lifts at one end of the board with a force of 369 N, and the other lifts the opposite end with a force of 711 N. (a) (3 points) What is the weight of the refrigerator, and where along the board is its...

A package of aluminum foil is 66.7 yards long, 12 inches wide, and 0.00030 inches thick....

A package of aluminum foil is 66.7 yards long, 12 inches wide, and 0.00030 inches thick. Aluminum has a density of 2.70 g/cm^3. What is the mass, in grams, of the foil? a. 250 grams b. 380 grams c. 100 grams d. 8.8 grams

A long metalic strip 1.8 cm wide and 1.0 mm thick is placed in a 1.4-T...

A long metalic strip 1.8 cm wide and 1.0 mm thick is placed in a 1.4-T magnetic field as in the (Figure 1). When a steady current of 17 A passes through it, the Hall emf is measured to be 1.02 μV. Figure1 of 1 Part A Determine the drift velocity of the electrons. Express your answer to two significant figures and include the appropriate units. vd v d = Previous AnswersRequest Answer Incorrect; Try Again; 5 attempts remaining Part...

A base for an airport runway, 100 m wide, 2000 m long and 500 mm thick,...

A base for an airport runway, 100 m wide, 2000 m long and 500 mm thick, is to be constructed out of a clayey sand excavated from a nearby borrow pit, where the in situ water content is 6%. This soil is being transported in trucks having a capacity of 8 m 3 , where each load weighs 13200 kg. In the subbase course, the soil will be placed at a water content of 14.2% to a dry density of...

Joe Bruin has a big lawn in front of his house that is 30 meters wide...

Joe Bruin has a big lawn in front of his house that is 30 meters wide and 20 meters long. Josephine makes him go out and mow the grass every weekend, so several years ago, he bought a fancy John Deere riding mower , which he loves to ride around his yard. The mower has a gasoline engine that is rated at 20 horsepower. To mow his lawn each week, Joe needs to use the mower for about 30 minutes,...

1-A building requires a 100-foot long by 83-foot wide by 5-inch thick concrete slab. Using a...

1-A building requires a 100-foot long by 83-foot wide by 5-inch thick concrete slab. Using a waste factor of 10 %, Include calculations. a)determine the number of cubic yards of concrete needed to pour the slab. (2 points) 2-Determine the number of rolls of wire mesh needed if there are 750 SF of wire per roll and 12% of waste. Include calculations. (2 points) 9 BCT 2770 Estimating Fundamentals 3-Determine the amount of rebar needed for the slab if it...

A door is 0.91 m wide, 2.0 m high, and 4.0 cm thick; has a mass...

A door is 0.91 m wide, 2.0 m high, and 4.0 cm thick; has a mass of 25 kg; and pivots on frictionless hinges. A “door closer” is attached to the door and the top of the door frame. When the door is open and at rest, the door closer exerts a torque of 5.2 N⋅m. (A) What is the condition for least force that needs to be applied to hold the door open? (B) What is the least force...

A Copper plate that is 588mm wide and 48 mm thick is to be reduced in...

A Copper plate that is 588mm wide and 48 mm thick is to be reduced in a single pass in a two high rolling mill by using a 321mm diameter roll. The coefficient of friction at roll workpiece interface is 0.14 and the roll rotates at 107rpm. The rolling process is performed above the recrystallization temperature of the material and the width of the plate does not change during this operation. What is the minimum final thickness (mm) possible

Subjects