The pressure increases by 1.0 x 104 N/m2 for every meter of depth beneath the surface of the ocean. At what depth does the volume of a Pyrex (bulk modulus 2.6 x 1010 N/m2) glass cube, 6.8 x 10-2 m on an edge at the ocean's surface, decrease by 7.5 x 10-10 m3?

Q: The pressure on a volume of liquid V= 1.6 m3 at the surface is approximately equal to the…

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Q: A horizontal aluminum rod 5.0 cm in diameter projects 4.8 cm from a wall. A 1400 kg object is…

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Q: The graph below represents the stress versus strain for a particular material. What is the Young's…

A: The expression for the Young’s modulus is,

Q: A (2 m)-long steel wire in a musical instrument has a radius of (0.3 mm). When the wire is under a…

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Q: A large uniform cylindrical steel rod of density ρ = 7.8 g/cm3 is 2.0 m long and has a diameter of…

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Q: Steel beams are used for load bearing supports in a building. Each beam is 4.0 m long with a…

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Q: "One end of a steel rod of radius R = 10mm and length L = 80 cm is held in a vise. A force of…

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Q: A 4.0 m steel beam with a cross sectional area of 1.0 x 10-2 m² and a Young's modulus of 2.0 x 1011…

A: Given:-  The length of the steel beam L = 4 m  The cross-sectional area of the beam is A = 1.0 x…

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 stainless-steel orthodontic wire is applied to a tooth, as in Figure P9.72. The wire has an…

A: the expression for force is,

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: If 1.0 m of concrete weighs 5.0 x 104 N, what is the height of the tallest cylindrical concrete…

A: The compression strength is given by, P=FA Here, F is the force applied and A is the area of…

Q: A horizontal aluminum rod 4.7 cm in diameter projects4.4 cm from a wall. A 1100 kg object is…

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Q: A ball has a radius of 1 meter. The Bulk modulus is 4.2 × 1010 N/m2. It is located on the surface of…

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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 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 1000-kg object hangs from the lower end of a steel rod 5.0 m long that is suspended vertically.…

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Q: A 195-kg load is hung on a wire of length of 4,30 m, cross-sectional area 2.00 x 10 5 m2, and…

A: Givenm=195 kgL=4.3 mA=2×10-5 m2Y=8×1010 N/m2

Q: A nylon string on a tennis racket is under a tension of 275 N. If the string's radius is 5.00 x 10-4…

A: The equation for the change in length can be obtained from equation for the Young’s Modulus as

Q: What is the compression in the tibia of length l = 30 cm of a person of mass m = 80 kg when standing…

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Q: A 200-kg load is hung on a wire of length 4.00 m, cross-sectional area 0.200 x 10-4 m2, and Young's…

A: Given Data: Mass,   Wire length,   Cross-sectional area,   Young’s modulus,   Standard Data Used:…

Q: 20. A 20-m long steel wire (cross-section 1.0 cm2, Young's modulus 2.0 x 10I N/m²), is subjected to…

A: Given that Original length of wire L = 20 m Cross section area A = 1 cm2 = 1 X 10-4 m2 Young's…

Q: Two cylindrical rods, one steel (Y = 2.00×10" Pa) and the other copper (Y = 1.10×10" Pa), are joined…

A: SOlution: Given that Steel, Y = 2x1011 Pa copper, Y = 1.1x1011 Pa Steel, L =1.3 m Copper ,L =2.6 m…

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

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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 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 weight of (50kg) affects the lower end of a steel rod of length (80cm) and diameter (0.60cm). What…

A: Given: The mass of the weight is 50 kg. The length of the rod is 80 cm. The diameter of the rod is…

Q: A solid copper cube has an edge length of 88.9 cm. How much stress must be applied to the cube to…

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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 mass of 35.0 kg is suspended from a steel wire of diameter 1.00 mm and length 11.3 m. How much…

A: Stress is defined as the force applied per unit area and it is given as σ = FA…

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: "One end of a steel rod of radius R = 10mm and length L = 100 cm is held in a vise. A force of…

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Q: A 1000-kg object hangs from the lower end of a steel rod 5.0 m long that is suspended vertically.…

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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: 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: 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: "One end of a steel rod of radius R = 10mm and length L = 90 cm is held in a vise. A force of…

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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 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: 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: 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 solid copper cube has an edge length of 89.8 cm. How much stress must be applied to the cube to…

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

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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).