A cubical block of density PB and with sides of length L floats in a liquid of greater density PL. a) What fraction of the block's volume is above the surface of the liquid? b) The liquid is denser than water (density pw) and does not mix with it. If water is poured on the surface of the liquid, how deep must the water layer be so that the water surface just rises to the top of the block? Express your answer in terms of L, PB, PL, and pw. c) Find the depth of the water layer in part (b) if the liquid is mercury, the block is made of iron, and the side length is 10.0 cm.

A cubical block of density PB and with sides of length L floats in a liquid of greater density PL. a) What fraction of the block's volume is above the surface of the liquid? b) The liquid is denser than water (density pw) and does not mix with it. If water is poured on the surface of the liquid, how deep must the water layer be so that the water surface just rises to the top of the block? Express your answer in terms of L, PB, PL, and pw. c) Find the depth of the water layer in part (b) if the liquid is mercury, the block is made of iron, and the side length is 10.0 cm.

Name: A cubical block of density PÅ and with sides of length L floats in a
Uploaded: 2024-03-20T06:51:10.000Z
Channel: Bartleby
Description: A cubical block of density PÅ and with sides of length L floats in a liquid of greaterdensity PL-a) What fraction of the block's volume is above the surface of the liquid?b) The liquid is denser than water (density pw) and does not mix with it. If w

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Problem 2: A 12 kg wood block with density 600 kg/m³ floats in water. A piece of lead is attached to…

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

A: Given data: Width = 20.0 cm = 0.200 m Thickness = 5.00 cm = 0.0500 m Length = 3.00 m Density of…

Q: A cube of pine wood, of side length 20 cm is held underwater. Ppine = 550 kg/m° Pwater = 1000 kg/m?…

Q: A large tree trunk is floating in the sea. The density of the sea water is 1010 kg/m3 the density of…

A: Solution:-Given thatDensity of sea water (ρs)=1010 kg/m3density of trunk (ρt)=795 kg/m3

Q: A plastic cube (density 852 kg/m°) has side length 1.22 jar of maple syrup (density 1199 kg/m3)-you…

A: GivenDensity of plastic cube, ρc=852 kg/m3Side length ,a=1.22 cm=0.0122 mDensity of maple syrup,…

Q: Two identical blocks are present. Both have a mass of 8.66 kg and a volume of 5.45 L. The first is…

A: M= 8.66kg V= 5.45 L = Weight in air 84.87 N In the fluid It is 14.9N

Q: A rectangular block of wood has a dimension of 20cm x 20 cm x 50cm and float in fresh water. If the…

A: Given: The size of the block is 20cm x 20 cm x 50cm. The depth inside the water is 25 cm.

Q: A block of wood has a mass of 3.94 kg and a density of 671 kg/m3. It is to be loaded with lead (1.13…

A: The mass of the block of wood is mwood = 3.94 kg. The density of the block of wood is ρwood=671…

Q: A 10 kg loggerhead sea turtle has a lung volume of 1 L and a body volume of 9.5 L (lungs empty) or…

A: Mass of water body is Density of water is Lung volume is Body volume with empty lungs is Body volume…

Q: Someone goes to lift a crate that is resting on the bottom of the pool filled with water (density of…

Q: s 1.1 atmospheres, determine the depth of the mercury. (Assume the density of mercury to be 1.36 ×…

A: Pressure due to liquid column P = hdg d = density of liquid

Q: You come across an open container that is filled with two liquids. Since the two liquids have…

Q: A hollow Aluminum sphere has an outer radius of 0.2 m. If it is floating with exactly half of its…

Q: k of metal weighs 41 N in air and 19.3 N in water. Part (a) What is the buoyant force on the…

A: Given:- The weight of the block in the air Wair = 41 N The weight of the block in the water Wwater…

Q: Three balls with the same radius 14 cm are in water. Ball 1 floats, with half of it exposed above…

A: The objective of this question is to find the tension on the ropes holding the second and third…

Q: S7. A cylindrical wooden block of mass m = dotted line) submerged with height below the water as…

A: This problem can be solved using the archimedes formula for the fraction of object volume floating…

Q: A plastic cylinder has a volume of 0.036 m³ and a density of 910 kg/m3. If it is placed in oil,…

Q: A 6.1 kg solid metal sphere has a density of 2600 kg/m^3. It is hung from a cord and completely…

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

A: Given data: Width = 20.0 cm = 0.200 m Thickness = 5.00 cm = 0.0500 m Length = 3.00 m Density of…

Q: A 6.1 kg solid metal sphere has a density of 2600 kg/m^3. It is hung from a cord and completely…

A: Given: In this question, the given details are, A 6.1 kg solid metal sphere has a density of 2600…

Q: A hollow sphere of inner radfius 50.0 cm and outer radius51.0 cm is made of steel (density 8050 Apin…

Q: You place a beaker that is two- thirds full of water (density Pw) on a laboratory scale. You then…

Q: A solid cube of side length 11.8 cm is suspended on light string. When the cube is totally immersed…

Q: Can you please help me solve this.. A man is standing on a 5kg plank of wood 1m x 1m x 5cm in…

A: So, mass of the man should be 45.000 kg

Q: Three balls with the same radius 28 cm are in water. Ball 1 floats, with half of it exposed above…

Q: Water enters a pipe of rectangular cross section of dimensions 6.5 cm by 8.0 cm at a velocity of 4.0…

A: Given, rectangular cross section of dimesions 6.5 cm by 8.0 cmvelocity, v1 = 4.0 cmsradius of…

Q: A uniform plastic block floats in water with 30.0 %% of its volume above the surface of the water.…

Q: A sphere completely submerged in water is tethered to the bottom with a string. The tension in the…

A: The sphere is completely submerged in water.Tension in string is ; here is the sphere's…

Q: A square metal sheet 2.9 cm on a side and of negligible thickness is attached to a balance and…

Q: Bowling balls are roughly the same size but come in a variety of weights. Given that the official…

Q: A block of birch wood floats in oil with 89.4% of its volume submerged. What is the density of the…

Q: A cube of wood having an edge dimension of 18.3 cm and a density of 653 kg/m3 floats on water.…

Q: A ball made of cork has a diameter of 20 cm and an average density of 250 g/L. What force is…

A: According to Archimedes Principle, a body when placed in a fluid experiences an upward force called…

Q: A piece of metal has density 270 kg/m3and mass 0.775 kg. The metal is completely submerged in a…

Q: T= Total Tension From the diagram shown in FIG. B, each object has a Base Area of 100cm? and a…

Q: A hollow, plastic sphere is held below the surface of a freshwater lake by a cord anchored to the…

Q: 7. The temperature increases from 200 K to 800 Kas a fixed amount of gas undergoes the process SHOWR…

A: Note :- We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: A block of wood has a mass of 3.44 kg and a density of 588 kg/m³. It is to be loaded with lead (1.13…

Q: A cylinder with a cross-section area A floats with its long axis vertical in a liquid of density p.…

A: The expression of the pressure is wheresince the cylinder is being pushed down a distance of x so…

Q: A solid, homogeneous sphere with a mass of mo, a radius of ro and a density of po is placed in a…

A: According to Archimedes' principle, when the body is immersed in the fluid, the fluid exerts…

Q: A 150-N object of density=870kg/m3 floats in a liquid of density with three-fourths of its volume…

A: a) The buoyant force on the object= 150N (Since the body is floating, the net upward force i.e., the…

Q: A block of wood has a mass of 3.68 kg and a density of 587 kg/m. It is to be loaded with lead (1.13…

A: According to Archemede's principle Buoyant force = weight of liquid displaced

Q: A partially filled bucket of water sits on a scale and it’s weight is 3.8 N. A piece of metal is…

A: The buoyant force here is FB=6.8N-3.8N=3.0N

Q: oil H A B

Q: Oil having a density of 930 kg/m^3 float on water. A rectangular block of wood 4.o cm high and with…

A: When a body is submerged in a liquid, the body experiences an upthrust. If the density of the body…

Concept explainers

Fluid Pressure

The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.

Gauge Pressure

Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.

Topic Video

Question

A cubical block of density PÅ and with sides of length L floats in a liquid of greater
density PL-
a) What fraction of the block's volume is above the surface of the liquid?
b) The liquid is denser than water (density pw) and does not mix with it. If water
is poured on the surface of the liquid, how deep must the water layer be so that
the water surface just rises to the top of the block? Express your answer in
terms of L, PB, PL, and pw.
c) Find the depth of the water layer in part (b) if the liquid is mercury, the block is
made of iron, and the side length is 10.0 cm.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given data

Step 2: Part (a)

Step 3: Part (b)

Step 4: Part (c)

Solution

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 27 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

You need to determine the density of a ceramic statue. If you suspend it from a spring scale, the scale reads 28.4 N. If you then lower the statue into a tub of water so that it is completely submerged, the scale reads 17.0 N. What is the density?
Mercury is poured into a U-tube as shown in Figure a. The left arm of the tube has cross-sectional area A1 of 10.3 cm2, and the right arm has a cross-sectional area A2 of 4.70 cm2. Two hundred grams of water are then poured into the right arm as shown in Figure b. (a) Determine the length of the water column in the right arm of the U-tube. cm(b) Given that the density of mercury is 13.6 g/cm3, what distance h does the mercury rise in the left arm? cm
A scientist is calculating the density of an ore sample. The scien- tist measures that the ore sample weighs 22.4 N in air. When the sample is suspended by a thin light cord and totally immersed in water, the tension in the cord is 14.2 N. What is the density of the ore sample that the scientist calculates. You can assume that any buoyant force from air is negligible.
A partially filled bucket of water sits on a scale and its weight is 3.8 N. A piece of metal is suspended from a thread and completely immersed in the bucket (but does not touch the bottom). The scale now reads 7.3 N. Find the volume of the metal.
A cube of wood having an edge dimension of 18.7 cm and a density of 651 kg/m° 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 water barometer is used to measure air pressure in a duct where the air is being forced to ventilate a building. One end of the barometer is open to the atmosphere, and the other end is open to the inside of the ductwork. When the tube is bent in the shape of a U, the technician notes that the water level on the side toward the duct is lower than the side toward the atmosphere by 13.4 cm. What is the pressure difference in N/m2? The density of water is 1 gm/cm3 or 1000 kg/m3. Use 9.8 m/s2 for the acceleration of gravity.
A scale reads 100 N when a piece of aluminum is hanging from it. What does it read when it is lowered so that the aluminum is submerged in water? The mass density of aluminum is 2700 kg/m^3. Be careful, you are given mass density instead of weight density, and we are using SI units.i need answer in problem sigfig
A block of wood has a mass of 3.71 kg and a density of 515 kg/m3. It is to be loaded with lead (1.13 × 104 kg/m3) so that it will float in water with 0.803 of its volume submerged. What mass of lead is needed if the lead is attached to (a) the top of the wood and (b) the bottom of the wood?
A hollow plastic cube of side length 80 cm is held below the surface of a lake by a cord anchored to the bottom of the lake. The cube has a mass of 85 kg and the density of the lake water is 1025 kg/m. a) What is the buoyant force exerted on the cube by the lake water? b) If the top surface of the cube is 25.4 m below the surface of the lake, what is the gauge pressure at the top surface of the cube? P. = 1.013 x 10 Pa. atm c) What is the force on the top face of the cube? Note the top face will have a square cross section and the length of the side is 80 cm.
A plastic cube (density 973 kg/m3) has side length 1.90 cm. You drop the cube into a jar of maple syrup (density 1131 kg/m³) -you don't know why- and observe that it floats in the syrup . What percentage of the plastic cube is submerged? [Answer as a percentage with 3 sig digits, but do not enter '%' with your answer]
Bird bones have air pockets in them to reduce their weight. This also gives them an average density significantly less than that of the bones of other animals. Suppose an ornithologist weighs a bird bone in air and in water and finds its mass is 44 g and its apparent mass when submerged is 3.85 g (the bone is watertight). a. What mass, in grams, of water is displaced? b. What is the volume, in cubic centimeters, of the bone? c. What is the average density of the bone, in grams per cubic centimeter?
A scale reads 100 N when a piece of aluminum is hanging from it. What does it read when it is lowered so that the aluminum is submerged in water? The mass density of aluminum is 2700 kg/m^3. Be careful, you are given mass density instead of weight density, and we are using SI units