If the volume of liquid decreases by 0.5% for an increase of pressure from 9751987 N/m² to 251000 kN/m², calculate the bulk modulus of elasticity of the liquid. Please answer in SI unit (even temperature) with no decimals.

Q: A road engineer is planning to build an overpass and wants to support a 2.1 × 10° kg load over a…

A: Given that, Length of the column is L = 5.450 m Diameter of the column is d = 73.60 cm = 0.736 m…

Q: How large a pressure increase (in ATM) must be applied to water if it is to be compressed in volume…

A: Answer Option ( c ) = 200 atm

Q: An anchor made of cast iron of bulk modulus 60.0 × 109 PA and volume of 0.230 m3, is lowered over…

A: Given  Bulk Modulus B=60×109 Pa Change in pressure ∆P=1.75 × 106 Pa. Volume V=0.230 m3

Q: A rubber band 20 cm long has a cross-sectional area of 0.04cm^2. What load (in dynes) will stretch…

A: Given data: The length of the rubber band is L = 20 cm. The cross-sectional area of the rubber band…

Q: What is the area of the stock file if a 1.5 x 10 5kg mass presses down 2.5 feet high stock file that…

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Q: Calculate the shear modulus (G) for a cylindrical steel specimen. Assuming the elastic modulus is…

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Q: A 439 kg load is hung on a wire of length 9 m, cross-sectional area 0.200 x 10* m, and Young's…

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Q: The modulus of elasticity of a certain steel material is 200 GPa (Giga Pascal). What is the strain…

A: Modulus of elasticity for a material is defined as the ratio of stress to strain in a body. In this…

Q: Compute the bulk modulus of water from the following data: Initial volume = 100.0 litre, Pressure…

A: Given, P = 100 atmosphere = 100 x 1.013 x 105 Pa Final volume, V2 = 100.5 l = 100.5 ×10 –3 m3…

Q: A load with a weight of 125.0Newtons is attached to a brass wire with a length of 7.5 meters.…

A: Y= Young's modulus = stress/strain Stress = force /area of cross section Stress = F/a Strain =…

Q: 0 of 10 > O Attempt 2 A 2.9-carat diamond is grown under a high pressure of 58 x 10' N/m2. One carat…

A: K = - v dp/dv  d= 3.52g/cm3= 3520kg/m3

Q: A string 0.002 mm in diameter and original length of 1.0 m is pulled by a force of 196 N. If the…

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Q: A support beam has a length of 75 cm, width 35 cm and 50 cm thickness. What is the weight which the…

A: Given: Young's modulus, Y=2.0×1011 N/m2, Initial length of the beam, l0=75 cm = 0.75 m,…

Q: A cubic industrial material whose one side is of length 2.0 cm has a bulk modulus of 4.7 x 10^5…

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Q: Calculate the percentage increase in length of a wire of diameter 2.5mm stretched by a force of 100…

A: The expression for the young’s modulus is

Q: When a beam 6m. long with a cross sectional area 0f 19.4 square meters is subjected to a…

A: Young’s modulus (Y) = stress/strain = (F/A)/(ΔL/ L0). Where, F is the force exerted on an object…

Q: The pressure at a depth of 1.0 km in the Pacific Ocean exceeds by 10 mega Pascal. If a metallic…

A: Pressure difference (∆P) = 106 Pascals Volume of metallic alloy (V) = 385 cm3= 3.85×10-4 m3Bulk's…

Q: Find the density of seawater at a depth where the pressure is 460 atm if the density at the surface…

A: Pressure , P = 460 atm  Density , ρ= 1100 kg/m3  Bulk modulus , B = 2.3 x 109  To find =density at…

Q: A cube with edges exactly 2 cm long is made of material with a bulk modulus of 3.5 x 10 9 N/m 2.…

A: The Bulk Modulus of a system is given as

Q: The velocity v (m/s) of air flowing past a flat surface is measured at several distances y (m)…

A: Newton’s viscosity law,

Q: etermine the bulk modulus if a pressure of 13.2 x 10^7 N/m^2 applied to 1 kg of water causes a 6%…

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Q: An oil specimen has an initial volume of 597 cm³ and is subjected to 3.6 MPa pressure increase. The…

A: Initial volume V=597 cm3 Rise in volume △V=0.35 cm3 Rise in pressure △P=3.6 MPa=3.6×106 Pa To find:…

Q: A composite material with a bulk modulus of 4.50x109Pa is made in the shape of a cube 1.50cm on a…

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Q: Suppose that an object was formed using 7.25 x 10° Pa. When it was released from the press and…

A: Given  :     Pressure, P1 = 7.25*108 Pa     Pressure, P2 = 1.01*105 Pa       Change in Pressure, ∆P…

Q: A load with a weight of 125.0Newtons is attached to a brass wire with a length of 7.5 meters.…

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Q: Find the minimum diameter of a nylon wire 50 m long that will stretch no more than 25 cm when a load…

A: Given that, length of the nylon, L =50 m stretch length , l =25 cm =0.25 m mass, m =90 kg Y nylon…

Q: Find the modulus of elasticity of a brass rod of cross section 20 mm x 20 mm, and length 248 mm…

A: Tensile load(T)= 50 KN Elongation (e)= 0.25 mm = 2.5× 10-⁴ m Length of the rod(L)= 248 mm= 0.248 m…

Q: Shear Stress in terms of its fundamental dimension is O A. M/tL^2 В. M/Lt^2 Ос. MLt D. M/(L^2)(t^2)…

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Q: A 469 kg load is hung on a wire of length 6 m, cross- sectional area 0.200 x 10¬ 4 m², and Young's…

A: Given : m = 469 kg L = 6 m A = 0.200 × 10-4 m2 Y = 8 × 1010 N/m2

Q: Determine the volume contraction of a solid copper cube, 10cm on an edge, when subjected to a…

A: The bulk modulus is given by

Q: A solid ball 300 cm in diameter is submerged in a lake of such depth that pressure exerted by water…

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Q: A child slides across the floor in a pair of rubber-soled shoes. The frictional force acting on each…

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Q: Opposing shearing forces of 5,098 N are applied to the 6.4-cm x 5.49 -cm faces of a metal block…

A: force (F) = 5098 N Area of face on which shearing forces are applied = 6.4 cm ×5.49 cm = 35.136 cm2=…

Q: A cube with edges exactly 3.00 cm long is made of material with a bulk modulus of 7.00 x 10 9 N/m 2.…

A: Given: Length of cube’s side (a) = 3.0 cm. = 3.0×10-2 m. Bulk modulus (B) = 7.0×109 N/m2. Pressure…

Q: A 3m long steel bar whose diameter is 25 mm is compressed by a 25 KN force. If the value of the…

A: The stress is defined as the force per unit area.

Q: P is the stress experience when an object is compressed from all sides, usually experienced by…

A: Here, it is given that P is the stress experience when an object is compressed from all sides,…

Q: A diver stands (100kg) at the end of a diving board, causing the board to dip 15cm. The board has a…

A: Given : Mass of diver = 100 kg Weight (F) = 100 *9.8 = 980 N Dip in board (x) = 15 cm = 0.15m Width…

Q: A shearing force of 75 N is applied to an aluminum rod with a length of 10 m, a cross-sectional area…

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Q: A copper wire of length 3-m and 1-mm diameter is subjected to a tension of 5-N. Calculate the…

A: Given: The length of the wire is 3 m. The diameter of the wire is 1 mm. The tenson in the wire is 5…

Q: An object with a mass equal to 300 kg is hung on a wire of length 5.00 m and cross-sectional area of…

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Q: A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is…

A: The given data are listed below with appropriate variables. Here, L denotes the sides of a cube, ∆x…

Q: A 785 kg load is hung on a wire of length 8 m, cross-sectional area 0,200 x 104 m, and Young's…

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Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).