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 5.0 × 102 N object is hung from the end of a wire of cross-sectional area 1x10-6 cm2. The wire…

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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: The ultimate strength of a metallic wire for tension is 2.0 x10^8 Pa. The wire was set up with a…

A: Given: s=2.0*108 Pad = 0.5 cm = 0.005 mM = 200 Kg

Q: How large a force is necessary to stretch a 2.0-mm-diameter steel wire (Y = 2.0 x 1011 N/m2) by…

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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: The figure represents an insect caught at the midpoint of a spider-web thread. The thread breaks…

A: Given,breaking stress of the string, 9.2 ×108 N/m2strain, 2.00lengthh of the thread, L = 3.0 cmcross…

Q: A high-carbon steel wire, circular in cross-section, has a diameter of 14 mm. What is the force (in…

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Q: A 18 cm long tendon was found to stretch 5.4 mm by a force of 14.0 N. The tendon was approximately…

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Q: A steel cable with a radius of 1.5cm supports a chairlift at a ski area. If the maximum stress is…

A: The equation for the stress is given by,

Q: Two wires A and B are of the same length. Their diameters are in the ratio 1:2 and the Young's…

A: To find- Ratio of elongation produced eA/eB=? Given- Length of wire A=Length of wire B…

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: The Young's modulus for aluminium is 7 × 10¹0 Pa. You want an aluminium wire to not stretch more…

A: Given data:  Young's modulus (Y) = 7×1010 Pa Stretch in wire (ΔL) = 1.8 cm = 0.018 m Original Length…

Q: A string on a tennis racket is under the tension of 25 N. If its diameter is 3.3 mm, by how much is…

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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: 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: 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 wires of equal cross-section one made up of aluminium and other of brass are joined end to…

A: We need to find- Ratio of lengths of two wires LAlLbrass=? The data given as-…

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

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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 force stretches a (first) wire by 2mm. This wire is made of an unknown material and has a 1.2cm…

A: Given quantities: diameter of the first wire (D) = 1.2 cm length of the first wire (L) = 3.5 cm…

Q: A cable is 100 m long and has a cross-sectional area of 1.0 x 10-6 m2. A 1000 N force is applied to…

A: The objective of the question is to find out how far the cable stretches when a force is applied to…

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: The leg bone (femur) breaks under a compressive force of about 8.20 × 104 N for a human and 11.7 ×…

A: Compressive force for human bone ( F human ) = 8.20 × 104 N Compressive force for horse bone ( F…

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: A brass bolt is used to connect two brass plates together. The bolt must withstand shear forces up…

A: Given: Force is 3310 N Safety factor is 5

Q: A steel wire is 1.7 mm in diameter and 1m long, stretches by 0.37% when a mass is suspended from it.…

A: L = 1m  ∆L=0.37L100=0.0037 m Ysteel = 200×109 Pa  radius = 1.7/2 mm = 0.85 mm  Let tension is T

Q: 5. Consider (a) a long straight wire and (b) a circular thin wire in the plane of the page, each…

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Q: A wire of length L , area of cross section A is hanging from a fixed support. The length of the wire…

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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: Assume Young's modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than 1.50 x…

A: Given :      Young's modulus for bone, Y = 1.50*1010 N/m2       Stress to break the bone, S =…

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

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Q: Two strips of metal are riveted together at their ends by four rivets, each of diameter 6.0 mm. What…

A: Given, Diameter of the metal bar, d = 6.0 mm = 6.0 × 10–3 mRadius, r = d/2 = 2.5 × 10-3 m Maximum…

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).