A cube of compressible material (such as Styrofoam or balsa wood) has a density ρ and sides of length L.   a)If you keep its mass the same, but compress each side to 0.333 of its length, what will be its new density, in terms of ρ?   b)If you keep the mass and shape the same, what would the length of each side have to be (in terms of L) so that the density of the cube was 5.00 times its original value?

Q: Suppose you have a coffee mug with a circular cross section and vertical sides (uniform radius).…

A:

Q: A balloon is released from a tall building. The total mass of the balloon, including the enclosed…

A: Given Total mass of the balloon and gas = 2.0 kg Total volume = V = 5 m3 Find average density

Q: It is known that a cubical object made of cast aluminum 0.276 m on a side contains a hollow cavity…

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Q: Alloys of gold are rated in karats, a dimensionless unit that is used to indicate the proportion of…

A:

Q: The apron you wear during dental X-rays is lead-lined and so very heavy. What is the mass of a lead…

A: Step 1:The dimension of the brick is given as,Length, l=20 cm=20×10−2 mWidth, b=5.7 cm=5.7×10−2…

Q: Which of the two portions has a higher density?

A: Density =mass/volume

Q: An object of mass 48625.00kg has a density of 1029.00 kg m3. What is the volume of the object? m3 An…

A: For part 1m=48625kgρ=1029kg/m3For part 2m=36gV=27cm3

Q: A toy duck is floating on the water. The average density of the duck is ρd = 680 kg/m3, while the…

A: Given data:  The average density of the duck (ρd) = 680 kg/m3 Density of water (ρ) = 1.0×103 kg/m3…

Q: Suppose two worlds, each having mass M and radius R, coalesce into a single world. Due to…

A: Given: Mass of two worlds =  M Radius of two words = R Density of two words = ρ0 Radius of the…

Q: A plank of wood (p 600 kg/m®) with dimensions (2 x 0.02 x 0.15) m is floating on water (p= 1000…

A: Given that, The density of the wood, ρ1 =600 kg/m3  The density of the water, ρ2 =1000kg/m3 The…

Q: Neutron stars are some of the densest objects in the universe. They form during supernova ex-…

A: Given:-  The Density of the Neutron is 5 x 1017 kg/m3 The mass of the earth  is M = 5.97 x 1024 kg…

Q: A fluid sits in a tank whose top is open to atmosphere . This fluid has a density that increases…

A: Given: The density of the fluid is ρo+αy.

Q: Hampus finds a bottle of oil in the pantry. Curious as he is, he wants to see if it is possible to…

A: Given: Height of oil h1  =7.5 cm Height of water h2 =6.9 cm Density of water d2  = 1 gm/cc

Q: A steel W1re of length 2.5 m and area of ross section 1.25 mm², when it is stretched by a force of…

A: length of the steel wire, l=2.5 m Cross sectional area=1.25 mm2=1.25×10-6 m2Force applied=40 NThe…

Q: If the force on the eardrum increases by 1.5 N compared to the force at atmospheric pressure, the…

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Q: The average human has a density of 945 kg/m³ after inhalation, and 1020 kg/m³ after exhalation.…

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Q: A solid object with the density p floats on a liquid with the density p liquid. What is the ratio of…

A: To determine: The ratio of the objects volume that is submerged in the liquid

Q: Mercury is poured into a U-tube as shown in Figure a. The left arm of the tube has cross-sectional…

A:

Q: A cube of compressible material (such as Styrofoam or balsa wood) has a density ρ and sides of…

A:

Q: In a car service station, the air exerts a force on a small piston of radius r = 5 cm. The change in…

A: Given data F1=15000 Nr=5 cmR=15 cm

Q: A small solid ball is released from rest while fully submerged in a liquid and then its kinetic…

A: Given :Distance moved (h)=3.70cm  At ρliq=0, Ks=1.50J  At K=0 , ρliq =1.5g/cm3

Q: P gas - Mercury 16 cm 6 ст

A: From the the pressure is balanced  Pressure due to mercury column is pgh

Q: What outward force (in N) is needed on the outside of a lung to create the pressure P noted in the…

A: Given Pressure is given as P=-6.00 mm Hg Area is A=270 cm2=270×10-4 m2     We have to calculate the…

Q: The coefficient of viscosity of a liquid is η = (0.60 ± 0.03 )Pa .s , the terminal velocity of a…

A: The given values are,

Q: A plastic sphere floats in water with 49% of its volume submerged. When the same sphere floats in…

A: The density of water, ρw is 1000 kg/m3.   Consider that,  The density of the fluid is ρf and  The…

Q: A small solid ball is released from rest while fully submerged in a liquid and then its kinetic…

A: Given: height of ball, h=4.3 cm=0.043m kinetic energy, ks=1.9 J   To find: Volume of ball, Vb=?

Q: A cube 8.7 cm on each side is made of a metal alloy. After you drill a cylindrical hole 3.46 cm in…

A: Given value--- side of cube = 8.7 cm. diameter of cylindrical hole = 3.46 cm. mass of cube = 0.44…

Q: Your employer is planning to build several cylindrical storage tanks that will hold fuel. He has…

A: Solution: Given that,   Tank diameter(d)=28 ft  Tank radius(r)=14 ft  Tank height =20 ft  No.of…

Q: A legendary Dutch boy saved Holland by plugging a hole in a dike with his finger, which is 1.10 cm…

A: Diameter of the hole (d)=1.1 cm Therefore, radius of the hole (r)=0.55 cm Depth of hole below the…

Q: A cube 8.22 cm on each side is made of a metal alloy. After you drill a cylindrical hole 1.5 cm in…

A:

Q: mpletely submerged. The container is 5.9 m long, 2.8 m wide, and 2.3 m high. Salvage experts attach…

A:

Q: In the process of loading a ship, a shipping container gets dropped into the water and sinks to the…

A: We will answer the quesiton using the concept of Buoyant force. The details are given below.

Q: A lost shipping container is found resting on the ocean floor and completely submerged. The…

A: The balloon-container will rise when the combined mass of water displaced by the balloon and…

Q: A hanging wire made of an alloy of magnesium with diameter 0.07 cm is initially 2.6 m long. When a 9…

A:

Q: Assuming that the earth is homogeneous spherical body with radius R, show that its mean density 3g…

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Q: a) Estimate the radius and volume of the platinum atom, using the metal density of 21.45 g/cm³.…

A: metal density of platinum = 21.45 g/cm3Mass of platinum atom = 195 amu = 195×1.67×10-24 g = 3.2565…

Q: rify her suspicion that a rock specimen is hollow, a geologist weighs the specimen in air and in…

A:

Q: You are making banana bread and the recipe calls for 3/4 cup of vegetable oil and one egg yolk. You…

A: Given data :  Mass of yolk, m = 9.9 gram  Yolk floats on oil with 71% of yolks volume under oil…

Q: Balloons are usually filled with helium gas because the density of helium gas under the same…

A: Concept used: Gravitational force acts in direction opposite to that of buoyant force.

Q: There is a brass cylinder weighing 1.000 kg, has a diameter of 0.047 meters, and it is 70 mm tall.…

A: Given data:  Mass of brass cylinder (m) = 1.000 kg Diameter (d) = 0.047 m Height (h) = 70 mm = 0.070…

Density of Solids

The density of a substance refers to how much matter is present in a given amount of space. It is expressed as the ratio of the mass of the substance to its volume.