A 200-kg load is hung on a wire of length 4.00 m, cross-sectional area 0.200 × 10–4 m2, and Young’s modulus 8.00 × 1010 N/m2 . What is its increase in length?

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 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 child slides across a floor in a pair of rubber-soled shoes. The frictional force acting on each…

A: NOTE: As per bartleby guidelines we can answer only first question. For remaining questions please…

Q: A square plate is 2.1 × 102 m thick, measures 4.5 × 10-2 m on a side, and has a mass of 7.2 × 102…

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Q: A 22.0 m long aluminum cable with a cross-sectional area of 2.04 x 10-3 m2 is used to suspend a 4.00…

A: Using the help of Young's modulus we will solve the given question. Given(s): Length of the cable,…

Q: On a forest trail a 4m long birch tree trunk is laid across a ravine as a bridge. The trunk is 4m…

A: Given that, The length of the trunk = 4 mThe diameter of the trunk = 20 cmThe Young's modulus of…

Q: A brass wire with Young’s modulus of 92.0 GPa is 1.95 m long and has a cross-sectional area of 5.00…

A: The objective of the question is to find out how much a brass wire stretches when a certain weight…

Q: A 4.0-m-long steel wire has a cross-sectional area of 0.050 cm². Its proportional limit has a value…

A: We know, The steel wire has a length of 4 m and a cross sectional area of 0.050 cm2. Its stress is…

Q: A 50.0 kg object is hung from the end of a wire of cross-sectional diameter of 1.12 mm. The wire…

A: Given: m=50kg d=1.12mm r=0.56×10-3m l=200cm=200×10-2m=2m ∆l=0.5cm=0.5×10-2m

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 557-N force is applied to stretch a cable, 66-m long and has a cross-sectional area of 2.8 mm^2.…

A: The force applied in the cable is given as, F=557 N, The original length of the cable is given as,…

Q: The femur bone in a human leg has a minimum effective cross section of 2.85 cm² and an ultimate…

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Q: rts a load of 4.5  1

A: Given: Length L = 4.0 m Area A= 7.5 10-3 m2  Force F = 4.5 104 N Young's modulus for steel  Y = 210…

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

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Q: A man with a mass of 70.5 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm and…

A: mass of man (m) = 70.5 kg weight (w) = m×g = 70.5×9.8= 690.9 N Cross sectional area of femur (A) = 8…

Q: TTM i. Figure 4 shows a 12 kg weight suspended by a 0.3 m vertical copper wire with cross sectional…

A: Concept: In order to calculate the Strain in each of the wire we will firstly calculate the stress…

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: Two rods, one made of copper and the other of steel, have the same dimensions. If the copper rod…

A: Write the expression for Young’s modulus, solve it for the stress of the copper rod as follows.

Q: A copper wire of length 6.7 m , cross sectional area 3.2 x 10--m²and Young's modulus 11 x 1010 N/m²…

A: Length of wire L = 6.7 m Cross-sectional area A = 3.2 × 10- 6 m2 Young modulus Y = 11 × 1010 N/m2…

Q: A member is formed by connecting two steel bars shown below. Assuming that the bars are prevented…

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Q: A copper wire of length 8.7 m , cross sectional area 1.3 x 10-6m2and Young’s modulus 11 x 1010 N/m2…

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

A: Given data m=45 kg B. S= 0.9×108 N/m2 A= 5cm2  L=50 cm loss in PE = gain energy Stored in leg bones…

Q: A child slides across a floor in a pair of rubber-soled shoes. The frictional force acting on each…

A: Given data *The frictional force acting on each foot is F = 20.0 N *The area of each shoe's sole is…

Q: A 215-kg load is hung on a wire of length of 3.30 m, cross-sectional area 2.000*10-5 m2, and Young's…

A: Given data: Mass (m) =215-kg Length (L) = 3.30 m cross-sectional area (A) =2.000*10-5 m2 Young's…

Q: A 210-kg load is hung on a wire of length of 3.30 m, cross-sectional area 2.00 x 10-5 m2, and…

A: mass of load (m) =210 kg initial length of Wire (L0) = 3.3 m Cross sectional area of Wire (A) = 2.0…

Q: One end of a wire 2 m long and 02 cm in cross-section is fixed in a ceiling and a load of 4:8 kg is…

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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/m² has…

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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: A 195-kg load is hung on a wire of length of 3.30 m, cross-sectional area 2.000 x 10-5 m2, and…

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Q: Assume Young's modulus of a femure bone of an effective diameter 2.5 cm is 1.5 x1010 N/m2. The bone…

A: Given: A femur bone of an effective diameter 2.5 cm and it's Young's modulus = 1.5 × 1010 N/m2.…

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: A copper wire of length 23.179 is designed to withstand a maximum tension of 657 N and 0.627%…

A: Given  Length of copper wire  L = 23.179 m Tension  T = 657 N Strain  ∆L/L × 100 = 0.627 %  ∆L/L =…

Q: A wooden "2 x 4" has a cross-sectional area of 38 mm x 89 mm. The shear modulus of the wood is 1.1 x…

A: Given that:

Q: A metal rod that is 3.10 m long and 0.48 cm2 in cross-sectional area is found to stretch 0.19 cm…

A: Length of the rod L= 3.10 mCross sectional area of the rod A=0.48cm2= 0.000048 m2Tension in rod…

Q: Find the diameter of a 17m (L) long steel wire that will stretch no more than 0.009m (AL) when a…

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Q: Humans can bite with a force of approximately 807 N. If a human tooth has the Young's modulus of…

A: The equation for Young's modulus is given by, Y=σe  (1) Here, σ is the stress and e is the strain.…

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: 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 3.5 cm cube of unknown metal has a shear modulus of 5.0x 10°N/m ? absorbed a force of 0.40 N.…

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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).