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. When it is subjected to a pressure of 3.0 x 10 5 Pa its volume in cm 3 is:

Q: Compute the decrease in volume of 2.5 x 10-4 m³, of mercury when subjected to a pressure of 20 x 105…

A: Given data: mercury's volume V=2.5×10-4 m3 Pressure P=20×105 N/m2 bulk modulus β=2.8×1010N/m2

Q: The unknown metal cube measures 4.2 x 10 ― 2 m has a stress of 9.2 x 1011 N/m 2 and a change of…

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Q: A small cylinder of copper has length 0.400 m and cross-sectional area of 3.00 ✕ 10−3 m2. The…

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Q: A column 600 mm in diameter is reinforced with 8-25mme bars and 12 mm spirals spaced at 100 mm on…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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 solid brick of density 4500 kg/m3 measures 0.15m x 0.20m x 0.10m. What amount of pressure does it…

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Q: A 45 kg boy whose leg bones are 5 cm² in area and 50 cm long falls through a height of 2 m without…

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Q: 29. A steel wire of length 2.0 m and diameter 1.01 mm is fixed at its upper end and its lower end…

A: The given data are: L=2 md=1.01 mm=1.01×10-3 mm=400 g=0.4 kgE=2×1011 Pa Here, L denotes the length,…

Q: Stiller Düzenleme Üs B 2) A uniform brass plate with area of 18 x 18 m? has mass of 41 kg which is…

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Q: A cube with original edges of L=3.5 cm long is made of material with a bulk modulus of 8.8*10^9…

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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: f a compressional stress of 200.0 N is applied to a copper rod having a diameter of .500 cm and a…

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Q: A rubber band 20 cm long has a cross-sectional area of 4 mm?. What load will stretch the rubber band…

A: Given data: Length of the rubber band, L=20 cm = 0.20 m Cross section area of the band, A=4…

Q: A wire of uniform cross sectional area of 0.45 mm is stretched at both ends by a total force of 7O N…

A: Given: Area of cross section of wire is 0.45 mm2. Force acting on the wire is 70 N. Strain produced…

Q: A 50-kg bucket of concrete is suspended from a steel wire that is 1.0 mm in diameter 1.0 mm and 11.2…

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Q: What is the force required to a steel wire to double its length when its area of cross-section is…

A: In the question it is given that ,Young's Modulus Y=200GPa=200×106Pa=2×104N/m2length of the wire…

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: A small cylinder of copper has length 0.600 m and cross-sectional area of 2.20 ✕ 10−3 m2. The…

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Q: Compute the decrease in volume of 2.5 x 104 m³, of mercury when subjected to a pressure of 20 x 105…

A: Formula for bulk modulus can be written as,                        K = -PV∆V ---->     Change in…

Q: a solid steel sphere with a radius of 2.0m falls off a ship and sinks to a depth where the pressure…

A: Given: The radius of the sphere is 2 m. The change in pressure is 15 MN/m2. The bulk modulus of the…

Q: A steel wire, 3.2 m long, has a diameter of 1.2 mm. The wire stretches 1.6 mm when it bears a load.…

A:

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

A:

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 5-m high aluminum cylinder must support a load of 450 kN. If the maximum allowable stress is 0.14…

A: Given data: The height of cylinder is l=5 m. Load supported P=450 kN. Maximum allowable stress is…

Q: One end of a brass wire 120 cm long and a diameter of 0.24 cm is fastened to a point in the ceiling.…

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Q: A material with a bulk modulus of 3.5 x 10º N/m² is shaped as a cube with 2cm long edges. It is then…

A: Answer:-  Given  Bulk modulus of material (B) = 3.5 × 109 N/m2  Side of cube(s) = 2 cm  Initial…

Q: A steel wire, 3.2 m long, has a diameter of 1.2 mm. The wire stretches 1.6 mm when it bears a load.…

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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: An automobile has four tires and each has a total area of 0.026 m² in contact with the ground The…

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Q: A steel sphere of diameter 3 m is sent deep of an ocean where the pressure is 29,775 N/m2. If the…

A: Given Diameter = 3m So, radius = 1.5m Pressure = 29775 N/m2 Bulk modulus = 6.00 x 106N/m2

Q: When water freezes, it expands by about 9%. What would be the pressure increase inside your…

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Q: A steel cable of diameter 2 cm is acted upon by 50000 N of tension. If Young’s modulus is 20 x 1010…

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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 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: A wire has a diameter of 0.01 m and the original length of 3 m. The string is pulled by a force of…

A: Young's modulus is given by, Y = (F/A)/(dL/L) here, F = Force applied on string = 467 N A =…

Q: You hang a heavy ball with a mass of 40 kg from a silver rod 2.8 m long by 2.2 mm by 2.7 mm. You…

A: The ratio of distance to time taken to travel a distance is used to calculate speed. Because it has…

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

A:

Q: Masses M1 and M2 are supported by wires that have equal lengths when unstretched. The wire…

A: masses M1 and M2 Aluminium wire                                           steel wirediameter,d1=1.35…

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).