A moonshiner makes the error of filling a glass jar to the brim and capping it tightly. The moonshine expands more than the glass when it warms up, in such a way that the volume increases by 0.4% (that is, ΔV/V0 = 4 ✕ 10-3) relative to the space available. Calculate the force exerted by the moonshine per square centimeter if the bulk modulus is 1.8 ✕ 109 N/m2, assuming the jar does not brea

Q: he frames. Considering a modulus of elasticity of 89 MPa for the rubber, assuming frames as rigid…

A: To calculate the change  of force applied on the bolt . we need to calculate preload in bolt. Given,…

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: What will be the density of sea water at a depth of 1 km, if the density at the surface is 1025…

A: Correct option : (d) 1029.387 kg/m3

Q: A spherical ball contracts in volume by 0-01%, when subjected to a normal uniform pressure of 100…

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

A: GIVEN   F=125N l= 7.5 m Y=8.96 X 10^11 Pa r=0.7 X  10^3 m

Q: 1 D=2 cm diameter and l = 2 m long copper rod is lengthened by force F = 350 N for Al = 0.2 mm.…

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Q: A uniform metal bar, one metre long, is placed symmetrically on two knife-edges separated by a…

A: We can use the formula for the deflection of a uniformly loaded beam supported at its ends: δ =…

Q: A tensile stress is to applied along the long axis of a cylindrical brass rod that has a diameter of…

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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: Artificial diamonds can be made using high-pressure, high-temperature presses. Suppose an artificial…

A: Initial volume (V) = 1.28×10-6 m3 Pressure or Stress (P) = 5.05 GPa or 5.05×109 Pa Bulk Modulus (B)…

Q: Question 16: A cubical solid aluminium (bulk modulus = -V (dP/dV) = 70 GPa) block has an edge length…

A: Given that,  Bulk modulus=-VdPdV=70 GPa Here we know that,   B=VdPdV

Q: An aluminum specimen 15 in long and in in diameter is subjected to tensile stress. The new length of…

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Q: A sphere of copper has a radius of 3.00 cm and is compressed uniformly by a force of 4.00 x 10° N.…

A: Given that, Force (F)= 4× 10⁸ N Radius (r)= 0.03 m Bulk modulus (k)= 140× 10⁹ N/m² Let the final…

Q: A 3.7-carat diamond is grown under a high pressure of 58x109 N/m2. One carat is 0.200 g, and you can…

A: The volume change of a 3.7-carat spherical diamond when withdrawn from the chamber and exposed to…

Q: Ex. 71: Calculate the work done in stretching a wire of diameter 1.2 mm and length 4 m by 0.2 m.…

A: To find-Work done in stretching a wire.Given-Diameter d=1.2 mmTherefore-r=0.6 mm=6×10-4 mL=4 ml=0.2…

Q: At the proportional limit, a 49 mm wide by 13 mm thick bar elongates 2.7 mm under an axial load of…

A: Given: Here are the given data,              Width=49 mm        Thickness=13 mm…

Q: A leg has 1.4 m shaft of bone with an average cross sectional area of 3x10-4 m². What is the amount…

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Q: A farmer making grape juice fills a glass bottle to the brim and caps it tightly. The juice expands…

A: thank you

Q: A bar of length 100 cm is supported at its two ends. The breadth and depth of bar 5 cm and 0.5 cm…

A: We have to find the depression produced in the bar. Area, A=5 mm2=5×10-6 m2, Length, L=100 cm=1 m,…

Q: Assume a human leg contains a 50cm long bone with an average cross section of 3cm2. By how much (in…

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Q: To compress a liquid by 10 % of its original volume, the pressure required is 2 x 105 N/m². The bulk…

A: We are aware that K is the necessary pressure to compress a liquid by 10% of its initial volume.We…

Q: A cubic marshmallow is 3 cm on each side sitting in a room at atmospheric pressure (1.01x105 Pa).…

A: Original side of cube is Pressure is The new side of cube is The pressure at which volume expands is…

Q: A cube with 2.0 cm sides is made of material with a bulk modulus of 4.7 x 10³ N/m². When it is…

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Q: Some claim that mountain climbers suffer from headaches due not only to a lack of oxygen in the…

A: Given, the bulk modulus: B = 2.10 GPa.   To find the fractional change of the brain's volume due to…

Q: A cube of unknown material is 0.200 m on each side and has a mass of 17.6 kg. It is suspended in a…

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Q: For the connection shown, the average shear stress in the 19-mm-diameter bolts must be limited to…

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Q: A metal bar’s dimensions are 1 in x 2 in. If the bar has a modulus of elasticity of 4.14x10^9 Pa,…

A: Given  Initial lenth is 15 in Final lenth = 15.25 in Dimensions = 1*2 in E = 4.14*10⁹ pa concept…

Q: A homogeneous bar, of mass m = 100kg, is suspended from three symmetrically located vertical wires…

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Q: A 62kg load is suspended from a steel wire of diameter 2mm and length 10m. By what distance will the…

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Q: A sphere of copper has a radius of 8.00 cm and is compressed uniformly by a force of 5.00 × 108 N.…

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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: Two wires are made of the same material, their Young’s Modulus constant is 10 x10^10 Pa. Wire X is 5…

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Q: A moonshiner makes the error of filling a glass jar to the brim and capping it tightly. The…

A: The bulk modulus is given by, K=Pressurevolumetric strainvolumetric strain=change in volume initial…

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 weight of 125 Newton is attached to a brass wire of 7.5 meters long. Young’s modulus for brass is…

A: Let Y be defined as the young modulus. Therefore, Y=FL0A∆L∆L=FL0AY=FL0πr2Y Here, F is the force…

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).