A force stretches a wire by 4.0 mm. A third wire of the same material has the same length and twice the diameter as the first. How far will it be stretched by the same force?

Q: a wire of radius 0.2 x 10^-3 m is suspended from the ceiling.When a weight (force) of 5.0N is…

A: Given, Weight (force) hanging,F=5 N Radius of wire, r=0.2×10-3m

Q: )A strand of dragline silk is 6 um about in diameter, about 10% the diameter of a human hair. What…

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Q: A tension force of 10 N is applied to a wire of cross-sectional area of 1x10 m², the wire stretched…

A: Given: A tension force, F = 103 N; Cross-sectional area, A =1×10-4 m2; The wire is stretched by 0.2%…

Q: Asolid copper cube has an edge length of 85.0 cm. How much stress must be applied to the cube to…

A: Here in this Question The Edge length of the copper cube is given to be 85.0 cm and it has been…

Q: The radius of the brass rod is 3 mm. What force will stretch it by 0.25% of its length. Ebrass = 9…

A: Given: Ebrass = 9 x1010 The radius of the brass rod r = 3 mm   To determine: Force require to…

Q: A wire with circular base of radius 3 mm was subjected to tensile stress of 13.5 Pa. If half the…

A: Given that- R=3 mm Now stress=F/A

Q: A rod stretches 0.02 m when a force of 5000 N is applied to it. How much will it stretch if a force…

A: The 1st option is the answer. 0.006mExplanation:Please see the attached image for the solution.If…

Q: Many caterpillars construct cocoons from silk, one of the strongest naturally occurring materials…

A:

Q: Q. A rod having a diameter of 4 cm and length of 1 m is suspended from a rigid suppor as shown in…

A: Youngs modulus of elasticity     Y = stress /strain

Q: A steel wire of diameter 1 mm can support a tension of 0.2 kN. Determine the diameter of a steel…

A:

Q: A steel cable 3.00 cm2 in cross-sectional area has amass of 2.40 kg per meter of length. if 500 m of…

A: Given:- Cross-sectional area = A = 3 cm2 = 3 x 10-4 m2 Mass per unit length = 2.4 kg/m Length of the…

Q: A homogeneous 800 kg bar AB is supported at either end by a cable as shown in the figure below.…

A: Draw free body diagram of the system.

Q: The diameter of steel ood is 8x10³m. What force will require to stretch it by 0.3% of its length ?…

A: We need to compute-Force required (F)=?The data given as-Diameter of steel rod (d)=8×10-3 mRadius…

Q: The maximum compressional stress that a bone can withstand is 1.6 × 108 N/m2 before it breaks. A…

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Q: A 0.600-mm diameter wire stretches 0.500% of its length when it is stretched with a tension of 20.0…

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Q: A cable used to lift heavy materials like steel I-beams must be strong enough to resist breaking…

A: Given,Force, (a) To find the cross-sectional area A:Taking the average ultimate tensile strength of…

Q: Calculate the force a piano tuner applies to stretch a steel piano wire by 8.00 mm, if the wire is…

A: The cross-sectional area of the wire can be obtained as

Q: A mineshaft has an ore elevator hung from a single braided cable of diameter 2.5 cm. Young’s modulus…

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Q: Part 1. A force stretches a (first) wire by 2mm. This wire is made of an unknown material and has a…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A.) A force stretches a wire by 4.0 mm. A second wire of the same material has the same cross…

A: Let the force applied is F. Let the area be A. Let the change in length be ∆L  Let the original…

Q: Two rods are identical, except that one is brass (Y = 9.0 × 1010 N/m²) and one is tungsten (Y= 3.6 x…

A:

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 35.0 kg mass hangs from a steel wire. The unloaded length of the wire is 3.05 m and it has a…

A: Mass hanging from steel wire,                     Initial length of an steel wire,…

Q: A body of mass 500 kg is suspended at the free end of an iron wire of length 3 m and cross-sectional…

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Q: A 2.5 x 105 kg mass presses down 18 inches high stock file that causes the file to deform at 2.7 cm…

A: The area of the stack file. Given, Shear ModulusG=7.4×1010 N·massm=2.5×105 kgdeformationx=2.7…

Q: An unknown block has shear modulus 8.0x 106 N/m 2 is used to stop cars at the end. The shearing…

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Q: A tunnel of length L = 130 m, height H = 9.4 m, and width 5.6 m (with a flat roof) is to be…

A: L = 130 m, height H = 9.4 m, and width 5.6 m (with a flat roof) is to be constructed at distance d =…

Q: How much will a steel wire 2 m long and 1 mm diameter stretch under a 5 kg. wt. load? (Y=2 x 10"…

A: Length of the steel wire, L=2 m Diameter, d=1 mm radius, r=0.5 mm=0.0005 m Young's modulus, Y=2×1011…

Q: A 13.2 kg child jumps up and grabs a (round) horizontal tree branch that has a diameter of 5 cm. The…

A: GivenMass of child m=13.2 kgDiameter of tree branch d =5 cm=0.05 mLengh of Branch iinitialy from…

Q: A cable used to lift heavy materials can resist breaking even under a load of 1 meganewtons. The…

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Q: A wire is stretched to its breaking point by a 5000 N force. A longer wire made of the same material…

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Q: A 25-kg piece of equipment can be hung by steel wires of length 1.00 m, 2.00 m, or 3.00 m. If all…

A:

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 mass of 3000 kg hangs at the end of a steel rod 5.0 meters in length.  The area of the cross…

A: Given Data: The mass of a steel rod is, m=3000 kg The actual length of a rod is, l=5 m The…

Q: Calculate the force (in N) a piano tuner applies to stretch a steel piano wire 8.10 mm, if the wire…

A:

Q: QUESTION 14 A force stretches a wire by 4.0 mm. A third wire of the same material has the same…

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Q: By how much does a 75.0-kg mountain climber stretch her 0.750-cm diameter nylon rope when she hangs…

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Q: firefighter weighs 730 N. She wears shoes that each cover an area of 309 cm2. (a) What is the…

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Q: By how much does a 65.0-kg mountain climber stretch her 0.800-cm diameter nylon rope when she hangs…

A: The expression for find change in length is ∆l=FlAY=mglAY

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).