In the Challenger Deep of the Marianas Trench, the depth of seawater is 10.9 km and the pressure is 1.16×10^8 Pa, (about 1150 atmospheres).   If a cubic meter of water is taken to this depth from the surface (where the normal atmospheric pressure is about 1.0×10^5 Pa), what is the change in its volume? Assume that the bulk modulus for seawater is the same as for freshwater 2.2×10^9 Pa. Report in cubic meters.

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: The bulk modulus of polystyrene is 3.43 GPa. Calculate the hydrostatic pressure (stress) needed for…

A: Bulk modulus of polystyrene B = 3.43 GPa = 3.43×109 Pa The fractional  change in volume  is  Where…

Q: 3.00m long steel wire is fixed in a ceiling and a mass of 12.3kg is hanging from the wire. The wire…

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Q: Find the force required to stretch a 1.0 m steel wire of diameter 3.2 mm by 10.0 mm. Given the…

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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: Compute the pressure in Nm2 required to compress a given volume of water V, to 99 percent of its…

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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 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: What is the pressure required to reduce the volume of a brass block by 10%?[Given the Bulk Modulus…

A: To solve the question we will use the formula: Bulk modulus, k=PdVV

Q: A 200 kg load is hung on a wire of length 4.00 m, cross-sectional area of 0.200×10^-4 m^2 and…

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

A: Original length (L) = 88.3 cm New length (L') = 88 cm

Q: A copper wire of length 4.4 m, cross sectional area 2.8 x 10 m and Young's modulus 11 x 10-0 N/m2…

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Q: A solid copper cube has an edge length of 89.3 cm. How much stress must be applied to the cube to…

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Q: B47 A submerged wreck is lifted trom a dock basin by means of a crane to which is attached a steel…

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Q: A metal wire 1.0 mm in diameter and 2.0 m long hangs vertically with a 6 kg mass suspended from it.…

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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 686 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: 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 tensile stress is to be applied along the axis of a cylindrical brass rod with diameter of 15 mm.…

A: The lateral strain is, εx=∆dd0     =-3.5×10-215×10-3     =-2.33 The axial strain is, εz=-εxν…

Q: A solid copper cube has an edge length of 89.9 cm. How much stress must be applied to the cube to…

A: The ratio of volumetric stress with volumetric strain is defined as the bulk modulus. To solve the…

Q: A solid copper cube has an edge length of 81.6 cm. How much stress must be applied to the cube to…

A: Given: L=81.6 cmL'=81.0 cmB=1.4*1011 N/m2

Q: A cylindrical specimen of a titanium alloy having an elastic modulus of 108 GPa and an original…

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

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Q: A stainless-steel orthodontic wire is applied to a tooth, as in Figure P9.14. The wire has an…

A: Given: L = 3.1 cm = 3.1 x 10-2 m  radius, r = 0.11 mm = 0.11 x 10-3 m  l = 0.1 mm = 1 x 10-4 m  Y =…

Q: A copper wire of length 7.9 m , cross sectional area 2 x 10-m²and Young's modulus 11 x 1010 N/m² has…

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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 200-kg load is hung on a wire having a length of 4.00 m, cross-sectional area 0.200 x 10-4 m2, and…

A: Load = 200 kg Length of wire (L) = 4 m Weight of load = 200×9.8= 1960 NArea = 2×10-5 m2Young's…

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: 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: 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: A hollow metal post is 10 ft long, and the cross-sectional area of the material is 2.5in² . When a…

A: Stress is defined as the force per unit area.  Strain is defined as the ratio of change in…

Q: One model of the length LACL of a person's anterior cruciate ligament, or ACL, relates it to the…

A: The linear equation                        Lacl = 0.04606h - (41.29mm)

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: 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 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: 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 metallic cube of side 125cm is subjected to a uniform force acting normal to the whole surface of…

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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: 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: A solid copper cube has an edge length of 85.3 cm. Ho w much st The bulk modulus of copper is 1.4x…

A: givenLi=85.3 cmLf=85 cmK=1.4×1011 N/m2

Q: A solid copper cube has an edge length of 87.9 cm. How much stress must be applied to the cube to…

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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).