It is known that a cubical object made of cast aluminum 0.213 m on a side contains a hollow cavity also in the shape of a cube but of unknown dimensions. If the mass of the object is 22.8 kg, determine the length of each side of the interior cubical cavity. The density of aluminum is 2.70  103 kg/m3.

Q: Blood pressure is normally taken on the upper arm at the level of the heart. Suppose, however, that…

A: Step 1: Step 2: Step 3: Step 4:

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

A:

Q: Gold can be hammered into decorative gold leaf, which is only 1.00E-07 m thick. If 1.88 troy ounce…

A: We know the density of a material sample, ρ=mV. Where m = mass of the sample and V= volume of the…

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

A:

Q: Calculate the surface tension of the fluid

A:

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

A: Density =mass/volume

Q: Blood pressure is normally taken on the upper arm at the level of the heart. Suppose, however, that…

A: The depth of the calf below the heart is 89.5 cm. The density of blood is 1060 kg/m3.

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

A:

Q: A person who weighs 670 N is riding a 85-N mountain bike. Suppose the entire weight of the rider…

A: Given data: The weight of the person, Wp=670 N. The weight of the bike, Wb=85 N. The gauge pressure…

Q: A liquid of density 1000 kgm-3 is taken in a beaker. A capillary tube of diameter 1.0 mm is dipped…

A: Here for water,                Angle of contact θ=0o                Surface tension T=72×10-3 Nm-1…

Q: A certain piston exerts a pressure of 45,000.0 Pa on the cylinder of a car. If the area of the…

A: Given :-  Pressure P = 45000.0 pa.  Area of cylinder A = 0.900 m2

Q: For the system shown in the Figure P 175 x 10 Pa and P, 1.20 x 104 Pa. Let y 25 cm and the volume…

A:

Q: The hydraulic lift (Fig. 2) is a device allowing lifting heavy objects (e.g. a car) by applying…

A: Given AoutAin=10

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: Problem 3. Suppose S represents the surface area of a spherical bacterium, measured in square…

A:

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

A:

Q: In this experiment, you are going to measure the buoyant force on an aluminum block partially…

A: The part of the cuboidal block immersed in water has the length, breadth, and height l, w, and dim,…

Q: A person who weighs 758 N is riding a 76-N mountain bike. Suppose the entire weight of the rider…

A: given that,weight of person= 758 Nweight of mountain bike=76 Ngauge pressure in each tire =  5.50 ×…

Q: A viscous fluid with viscosity η = 5.4 × 10-3 Pa s is flowing through a section of a pipe with the…

A: Let L and r denote the length and radius of the pipe. They are given as 18 m and 1 m, respectively.…

Q: A hollow cylindrical copper pipe is 1.70 m long and has an outside diameter of 3.90 cm and an inside…

A: given data  hollow cylindrical copper pipe length of pipe = 1.70m = l outside diameter = 3.90 cm r1…

Q: At a given instant, the blood pressure in the heart is 1.1 x 104 Pa. If an artery in the brain is…

A: Given  Pressure in the heart P=1.1×104 Pa Height of brain h=0.38 m Density of blood ρ=1125kg/m3

Q: Consider a fluid rotating about a vertical axis. The pressure p at radius r from the axis is given…

A: dpdr = -ρω2r where, ρ is the density, and ω is the angular velocity of the fluid.

Q: The diameter of the sphere is 2 mm. Calculate the value of the Reynolds number for the sphere with 2…

A: Reynolds Number Re = ρuD/η where D is the Diameter = 0.002 m, u is the Velocity = 0.05 m/s, ρ is the…

Q: 1. This container is filled with water (density p= 1000 kg/m³). Atmospheric pressure is Patm =…

A: Given data:  Density (ρ) = 1000 kg/m3 Atmospheric pressure (Patm) = 1.01×105 Pa Depth at point A…

Q: 2. Water is poured into a U-tube as shown in the figure. The left arm of the tube has…

A:

Q: At a given instant, the blood pressure in the heart is 1.1 x 104 Pa. If an artery in the brain is…

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 huge cylindrical container, standing up straight on its circular base, has a radius of 1.78 m.…

A: Data provided: Radius of circular base of cylinder (r) = 1.78 m Height of cylinder (h) = 3.96 m Mass…

Q: A cylindrical storage tank has a cross sectional area A1=1.5 m². The tank is set up vertically on…

A:

Q: An object made of iron appears 300 N lighter in water than in air. The density of iron is equal to…

A: Density of iron = 7870 kgm-3  Density of water=1000 kgm-3 Apparent weight of iron= 300N

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

A:

Q: Gold can be hammered into decorative gold leaf, which is only 1.00E-07 m thick. If 1.50 troy ounce…

A: Determine the mass of gold that is being hammered.

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: A spherical balloon has a radius of 7.15 mm and is filled with helium. How large a cargo can it…

A: Note-Density of air is, Density of helium is,

Q: Problem 1: Suppose you have a coffee mug with a circular cross section and vertical sides. What is…

A: Given,

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

A:

Q: At a given instant, the blood pressure in the heart is 1.1 x 104 Pa. If an artery in the brain is…

A:

Q: The density of a composite is 1.7 g/cm3. The density of an unknown fluid is 2.2 g/cm3. An object…

A: According Archimedes' principle, object will floats if the density of the object is lesser than that…

Variation of pressure

From the equation of pressure, pressure is directly proportional to the applied force.