For your science exhibit, you want to make a block of wood float at the interface between a layer of oil of unknown density, and water (density=1000 [kg/m3]) inside a container as shown. The density of the wood is 800 [kgm3⁄]. What must be the density of the oil so that only 30.0% of the wood is submerged in water?

Q: For your science exhibit, you want to make a block of wood float at the interface between a layer of…

A: Here weight of the wood is acting downward, and buoyancy due towater and oil on the wood is acting…

Q: Suppose your body has a density of 987 kg/m3. What fraction of you will be submerged when floating…

A: The submerged fraction when it is placed in the freshwater can be given as, k=ρbρw=987 kg/m31000…

Q: An 89.2 kg object with density 1025 kg/m^3 stands on a scale while completely submerged in water.…

A: Part (a) Given: The mass of the object is 89.2 kg. The density of the object is 1025 kg/m3.

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A:

Q: A 10.0-kg block of metal measuring 12.0 cm by 10.0 cm by 10.0 cm is suspended from a scale and…

A:

Q: Where is the liquid pressure more? Considering both contains fresh water.   A. Large swimming pool…

A: We the expression for pressure is  P=ρghSince density and gravity is constant so P α h

Q: A plate is in the form of a parabolic segment with its axis horizontal. Its height is 12 meters, and…

A: Given data: Height, h = 12m Width, w = 4 m Depth, d = 3 m Density of water = 1000 kg/m3 Gravity =…

Q: A 10.0-kg block of metal measuring 12.0 cm by 10.0 cm by 10.0 cm is suspended from a scale and…

A: Given,Mass of the block, m = 10.0 kgDimensions of the block, 12 cm ×10 cm×10 cmTop of the block is,…

Q: What is the buoyant force on a 1.200 kg solid steel ball submerged in water? (density of steel is…

A:

Q: A rectangular plate 2 m wide and 3 m high is submerged vertically in water so that the top of the…

A: We know that the expression for the buoyancy force on the object submerged in water is given as…

Q: If the human body has an average density of 983 kg/m³, what fraction of a person is submerged when…

A:

Q: A 23 m3 box is completely submerged in a fluid. What volume of fluid is displaced by the box if the…

A: Required : Volume of the liquid displaced.

Q: Suppose that a solid cube of some material floats motionless on the surface of an oil puddle at a…

A: Buoyant force = immersed volume * density of liquid * g Weight = mg = Volume of object * density of…

Q: A cylinder with a mass M and radius r is floating in a pool of liquid. The cylinder is weighted on…

A:

Q: A sphere having a diameter of 10 cm is completely submerged in water. What is the buoyant force on…

A:

Q: You observe that a solid cube of some material floats on the surface of an oil puddle at a service…

A: The expression from principle of buoyancy is,

Q: Calculate the buoyant force of a rock of mass 32 kg and density of 2 800 kg/m3 when fully submerged…

A: Buoyant force on a object of mass m and density ρ fully submerged in fluid of density d is given as…

Q: A buoy with a volume of 0.38 m is submerged in the ocean. If the density of salt water is 1023 kg/m,…

A:

Q: "A board that is 20.0 cm wide, 5.00 cm thick, and 3.00 m long has a density 350 kg/m3. The board is…

A:

Q: A cube with density 850 kg/m^3 floats in salt water of density 1030 kg/m^3. One side of the cube has…

A: Given data: The density of the wood is ρ=850 kg/m3 The density of saltwater is ρw=1030 kg/m3 The…

Q: A 0.20kg plastic ball has a density of 750 kg/m3. What is the amount of force required to hold it…

A: Given Mass = 0.20kg Density of ball = 750 kg/m3 Density of water = 1000 kg/m3

Q: If your body has a density of 995 kg/m3 , what fraction of you will be submerged when floating…

A: given: density of object, d = 995 kg/m3  density of fresh water,d' = 1000 kg/m3 density of salt…

Q: A crane lifts a steel submarine of density 7800kg/m3 and mass 20,000kg. what is the tension in the…

A:

Q: A block of wood has a mass of 3.72 kg and a density of 571 kg/m?. It is to be loaded with lead…

A:

Q: If your body has a density of 989 kg/m3, what percent of you will be submerged when floating gently…

A: Archimedes principle states that when a body is partially or fully immersed in a fluid, it…

Q: A small sculpture made of brass (densitybrass = 8470 kg/m3) is believed to have a secret\ central…

A:

Q: Aquaman is swimming in the Dead Sea at a depth of 40:0m. What gauge pressure acts on him at this…

A: Given: The density of the dead sea is 1.24x103 kg/m3. The depth of the water level is 40 m.

Q: Caught in an avalanche, a skier is fully submerged in flowing snow of density 96 kg/m3. Assume that…

A: Since the skier is fully submerged in the snow, the volume of the snow displaced will be equal to…

Q: A platinum sphere with radius 0.0135 m is totally immersed in mercury. Find the weight of the…

A: Given,

Q: An object of density 350 kg/m3 and volume 3.5 m3 is floating in a pool of liquid methane on a far…

A: Given data: Object's volume ρo = 350 kg/m3 Object's volume V = 3.5 m3 Methane's density ρM=657 kg/m3…

Q: A ball with a diameter of 10.0 cm is submerged in water. The buoyant force of the water on the ball…

A:

Q: A spherical metal shell has an outer radius of 15.0 cm and an inner radius of 14.0 cm. The density…

A: Given that for metal shell: Outer radius R=15cm=0.15m Inner radius r=14cm=0.14m Metal density…

Q: Water has density of 1000 kg /m^3. The volume of an object is  9m^3 (9 meter cubed).  If the object…

A: ρwater =1000 kg/m3 Vobject = Vdisplaced = 9 m3 FB = ?

Q: What fraction of a piece of iron will be submerged when it floats in mercury? The density of iron is…

A: Given data The density of iron is ρi=7.8×103 kg/m3. The density of mercury is ρm=13.6×103 kg/m3.…

Q: A 11.0 kg block of metal measuring 12.0 cm by 10.0 cm by 10.0 cm is suspended from a scale and…

A: In this question we are given that a 11.0 kg block of metal measuring 12.0 cm by 10.0 cm by 10.0 cm…

Q: For your science exhibit, you want to make a block of wood float at the interface between a layer of…

A:

Q: A cube 10 cm on a side has an apparent mass of 5 kg when completely submerged in water. What is the…

A:

Q: A 0.20kg plastic ball has a density of 750 kg/m3. What is the amount of force required to hold it…

A: The volume of the plastic ball will be equal to the volume of the water displaced , which is…

Q: A scuba diver and her gear have a volume of 69.2L. If 2/3 of the diver is submerged in seawater ( ρ…

A: It is given that, V=69.2 L=0.0692 m3Vd=23×69.2=46.14 L=0.04614 m3ρ=1025 kg/m3

Q: A 0.02 m x 0.01 x 0.03 block of copper (density = 8.8 g/cm3) is suspended submerged in milk (density…

A: Given data- density of copper=8.8 g/cm3=8.8x103 kg/m3 density of milk=1.03 g/cm3=1.03x103 kg/m3…

Q: An object has a weight of 9 N when it is in air and 7.2 N when it is submerged into water. What is…

A:

Q: A metal block, with a volume of 55 cm² is hanging from a massless string and completely submerged in…

A:

Q: A 7.8 kg solid sphere, made of a metal whose density is 2,500 kg/m3 , is suspended by a cord. When…

A: Tension in the cord equals the apparent weight of solid sphere.…

Q: A table tennis ball has a diameter of 3.80 cm and 3 an average density of 0.0840 g/cm. What force is…

A:

Q: A child playing in the pool is using a cylindrical can as a boat for his toy soldiers. The can…

A: Weight of can, F = 778.5 N  Height, H = 1.5 m Diameter, d = 0.50.5 = 0.707 m Radius, r = d/2 = 0.353…

Q: In the figure below, an open tank contains a layer of oil floating on top of a layer of water of…

A:

Q: Graph the following data.   density (kg/m3) Force Buoyancy (N) Fresh water 1000 4.8 Crude oil…

A: Given:

Q: A solid aluminum ball (density= 2700 kg/m³) is suspended in air from a scale, which reads 13.06 N.…

A: Given data Density of aluminium  ball is ρ=2700  kg/m3 Acceleration due to gravity is g=9.80 m/s2…

Q: A 7.3 kg cylinder made of solid iron is supported by a string while submerged in water. What is the…

A: