A tension force of 10 N is applied to a wire of cross-sectional area of 1x10 m², the wire stretched by 0.2 % of its original length. What is its Young's modulus?

Q: A nylon rope used by mountaineers elongates under the weight of a 65.0-kg climber. If the rope is…

A: Given , Weight of climber = 65.0 kg             length of rope = 45.0 m             Diameter = 8.00…

Q: The Young’s modulus for steel is at most 215 GPa (1 GPa= 109 N/m2).  If you apply a force of 50.0…

A: Given quantities: Young's modulus of steel (Y) = 215 GPa Applied force (F) = 50 GPa initial length…

Q: A wire of 2.0000 m length and 1.0 mm diameter is suspended from the ceiling. Hanging a 4.500 kg…

A: Original length L = 2.0000 m  Diameter of wire d = 1.0 mm  Radius of wire r = d/2 = 1.0 / 2 mm = 0.5…

Q: A 29.0 m long aluminum cable with a cross-sectional area of 2.01 x 10- m is used to suspend a 3.20 x…

A: The expression for young’s modulus of the material is, \Y=FAΔLL0ΔL=FL0AY=mgL0AY

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: 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: Given F=557 N L=66m A=2.8 mm2 Y=1.0x10^11 N/m2

Q: A wire of uniform cross sectional area of 0.15 mm2 is stretched at both ends by a total force of 40…

A: Given, Area of cross section of the wire A = 0.15 mm2 Total force acting on the both end F = 40 N…

Q: The total tensile load of 160kN of a steel is to be stress at the middle portion limited to 150…

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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: 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 metal rod that is 4.00m long and 0.50cm² in cross-sectional area is found to stretch 0.20cm under…

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Q: a diver stands (80kg) at the end of a diving board, causing the board to dip 10cm. The board has a…

A:

Q: A   5.0  inches cube chiffon  cake on  a  table  was  exposed  to  a  shearing  force of 0.20  lb.…

A: Given: The side of the cube is 5.0 in. The shear force is 0.20 lb. The displacement in the upper…

Q: A 10.2 m long wire with a cross-sectional area of 0.126 cm2 stretches by 0.196 cm when a tensile…

A: The given values are, L=10.2 mA=0.126 cm2=0.126×10-4 m2∆L=0.196 cm=0.196×10-2 mF=6250 N

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: 2. A 4.0 m long copper wire of cross-sectional area 2 2 cm is stretched by a force of 4.8 x 10° N.…

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Q: The young modulus of a material whose elastic strain and stress are 1.53 and 169.42 N/m²…

A: The elastic strain, strain=1.53   The stress, stress=169.42 N/m2

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: A solid body of mass 200kg hanging from a steel. Wire 5m long, and cross section 0.08 cm^2. The wire…

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Q: A 23.0 m long steel cable with a cross-sectional area of 2.06 10-3 m2 is used to suspend a 3.80 x…

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Q: A mass of 35.0 kg is suspended from a steel wire of diameter 1.00 mm and length 11.3 m. How much…

A: Stress is defined as the force applied per unit area and it is given as σ = FA…

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

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Q: In a materials testing laboratory, a metal wire made from a new alloy is found to break when a…

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Q: A box-shaped piece of gelatin dessert has a top area of 15 cm² and a height of 3.0 cm. When a…

A: Given, Area A  = 15 cm2 Height h = 3.0 cm  Force F = 0.50 N

Q: A disk between vertebrae in the spine is subjected to a shearing force of 600 N. Find its shear…

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Q: A metallic cube whose each side is 10 cm is subjected to a shearing force of 100 kgf. The top face…

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Q: Find the mass of the picture hanging from a steel nail as shown, given that the nail bends only 1.80…

A: The force applied perpendicular to the L0 and parallel to the cross sectional area A can be…

Q: A 10.2 m long wire with a cross-sectional area of 0.126 cm? stretches by 0.196 cm when a tensile…

A: The young's modulus of the material is a fundamental property that depends upon the temperature and…

Q: The ratio of stress to strain (o-4 / ɛ ) in the linear elastic region is . . called Young's

A: Y = streas/strain

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

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Q: A wire of 0.5 mm cross-section diameter nd 120 cm length is suspended vertically. What is the…

A: Write the given value of this problem: Diameter of wire(d)=0.5 mm or 0.5×10-3mLength of wire(L)=120…

Q: A rubber band 20 cm long has a cross-sectional area of 4 mm . What load will stretch the rubber band…

A: The cross sectional area of the rubber band is, A=4 mm20.01 cm21 mm2=0.04 cm2 The stretched distance…

Q: A brass wire with Young's modulus of 92.0 GPa is 2.36 m long and has a cross-sectional area of 5.00…

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

Q: A diver stands (100kg) at the end of a diving board, causing the board to dip 15cm. The board has a…

A: Given : Mass of diver = 100 kg Weight (F) = 100 *9.8 = 980 N Dip in board (x) = 15 cm = 0.15m Width…

Q: A 500-foot-long steel cable is loaded in tension and registers an average unit strain of 0.005.…

A: Given data: Original Length (L) = 500 foot Strain (ε) = 0.005 Required: Total elongation (ΔL)

Q: a cable has a diameter of 4mm and an original length of 2m.The cable is pulled by a force of…

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Q: 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…

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Q: When a certain liquid freezes, it expands about 11.5%. What would be the pressure increase inside an…

A: Write the expression for bulk modulus

Q: 6. A steel beam is placed vertically in the basement of a building to keep the floor above from…

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Q: A 16.3 cm long tendon is found to stretch 2.11 mm when a force of 18.8 N is applied to it. If the…

A: Given value--- initial length = 16.3 cm. change in length = 2.11 mm. Force = 18.8 N . diameter =…

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).