How much should the pressure on a litre of water be changed to compress it by 0.10% ? (Bulk Modulus of water= 2.2 GPa)

Q: A steel wire of length 4.7 m and cross-sectional area 3.0 × 10-5 m2stretches by the same amount as a…

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Q: A 19 -L volume of oil is subjected to pressure which produces a volume strain of 1.3 x L0-4. The…

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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: Find the minimum diameter of a (50 m)-long nylon string that will stretch no more than (1 cm) when a…

A: Given : L = 50 m ∆L = 1 cm = 0.01 m m = 70 kg Y = 3.51 x 109 N/m2

Q: A copper wire of length 6.1 m, cross sectional area 1.7 7 * 10^-6 * m^2 Young's modulus 11 * 10^10…

A: Given data: Length (L) = 6.1 m Cross-sectional area (A) = 1.77×10-6 m2 Young's modulus (Y) = 11×1010…

Q: By what percentage does the density of water increase at a depth of 1.72 km below the surface? Bulk…

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Q: A copper wire of length 7.9 m, cross sectional area 2 x 10 m²and Young's modulus 11 x 1010 N/m has a…

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Q: A copper wire of length 2.0 m, cross sectional area 7.1 × 10−6 m2 and Young's modulus 11 × 1010 N/m2…

A: The mass of copper,

Q: A steel wire 2.5 mm in diameter stretches by 0.038 % when a mass is suspended from it. The elastic…

A: streched wire, ∆x=0.038% of l0 ∆x=0.038100=3.8*10-4  l0

Q: A specimen of oil having an initial volume of 600 cm3 is subjected to a pressure increase of 3.6 *…

A: Given, Initial volume, V0=600 cm3, pressure increase, ∆P=3.6×106 Pa, and volume decrease, ∆V=0.45…

Q: Young's modulus of iron rod is 21 x 1010 N/m². A force of 7.0 × 105 N is applied to a 1.5-m length…

A: Youngs modulus = stressstrain=F/A∆L/L

Q: The pressure increases by 1.0 x 104 N/m2 for every meter of depth beneath the surface of the ocean.…

A: Given: The increase in pressure is 1.0×104 N/m2 per meter. The bulk modulus of Pyrex is 2.6×1010…

Q: A spider of mass 6.3  10-4 kg hangs from a 70.9 cm long thread whose diameter is 2.0  10-3 mm.…

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Q: A copper sphere that is 10 cm in diameter at an atmospheric pressure of 1.01 x 10° N/m² is put into…

A: Given: The diameter of the copper sphere is 10 cm.             The atmospheric pressure is 1.01×105…

Q: 40. A body of weight 20 N is suspended from a fixed point O by a light elastic string of natural…

A: The tension produced in the string or spring is directly proportional to the extension as

Q: Find the minimum diameter of a (50 m)-long nylon string that will stretch no more than (1 cm) when a…

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Q: The pressure in an explosion chamber is 345M Pa. What would be the per cent change in volume of…

A: Let P be the pressure, B be the bulk modulus of the chamber, V be the volume.Write the expression…

Q: Young's modulus of iron rod is 21 x 1010 N/m?. A force of 7.0 x 105 N is applied to a 1.5-m length…

A: Given data as per question Young modulus = 21*1010 Force  =    7*105  A    =  0.25

Q: A 0.490-m-long guitar string, of cross-sectional area 1.00 x 10 ^-6 m^2, has Young's modulus Y =…

A: The elongation of the wire, using Hooke's law, ∆L=FLAY

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: 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 solid copper cube has an edge length of 89.6 cm. How much stress must be applied to the cube to…

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Q: A 195-kg load is hung on a wire of length of 3.80 m, cross-sectional area 2.00  10-5 m2, and Young's…

A: According to stress by strain relation , stress is defined as the product of Young's modulus to the…

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: How much would the volume of 2.86 cm3 of aluminum on Earth increase if it were placed in a vacuum…

A: Solution: As given that Volume of Aluminum V =2.86 cm3 pressure  changed = less than 10–9 Pa…

Q: 03: A wire 10m long of cross section area 1.22 cm' olongatos by 1.5 cm when 4.5 kg is suspended from…

A: Given data: The length of wire is l=10 m. Area of cross-section is A=1.22 cm2. Mass suspended is…

Q: an (1 cm) when a load of (70 kg) is suspended from its lower end. Assume that the Young modulus…

A: we know that    γ = F/A△L/L L=50 m  A= πR2  △L= 1X10-2 m     γ= 3.51x 109 n/m2 let R=r min…

Q: A small steel cube (side length 2.54 cm) is being tested by subjecting it to compressive forces of…

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Q: A solid copper cube has an edge length of 81.9 cm. How much stress must be applied to the cube to…

A: Given  Initial length l1 = 81.9 cm = 0.819 m  Final length l2  = 81 cm = 0.81 m  Bulk modulus B =…

Q: How much would the volume of 2.54 cm^3 of aluminum on Earth increase if it were placed in a vacuum…

A: Given : Volume of aluminium (V) = 2.54 cm3 Pressure (P) = 1 x 10-9 Pa Bulk modulus of aluminium (B)…

Q: The bulk modulus of water is 2.1 GPa. Compute the change of volume of 100 mL of water when subjected…

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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: A 439 kg load is hung on a wire of length 9 m, cross-sectional area 0.200 x 10–4 m2, and Young's…

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Q: A force of 5000 N is applied outwardly to each end of a 5.0-m long rod with a radius of 34.0 cm and…

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Q: A hydraulic press contains 0.25 m3 of oil. Find the decrease in the volume of the oil when it is…

A: Let the Bulk modulus of oil is given by B. Let the change in pressure is given by ∆p. Let the change…

Q: The bulk modulus of water is 2.3 x Find its compressibility. How much pressure in atmospheres is…

A: Here, we calculate the given as follow;

Q: A solid copper cube has an edge length of 93.8 cm. How much stress must be applied to the cube to…

A: Given Initial length of the copper cube is li=93.8 cm=0.938 m Final length of the copper cube is…

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

A:

Q: A solid copper cube has an edge length of 88.3 cm. How much stress must be applied to the cube to…

A:

Q: A small steel cube (side length 2.54 cm) is being tested by subjecting it to compressive forces of…

A: Given data:  Side length (L) = 2.54 cm = 2.54 × 10-2 m Force (F) = 5.00 MN = 5.00 × 106 N Young's…

Q: When water freezes, it expands by about 9.00%. What would be the pressure increase inside your…

A: Given ∆VV=0.09 Bulk modulus (B)=2.0*109 N/m2 Required ∆P=?

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).