A particular human hair has a Young's modulus of 3.31 x 10° N/m2 and a diameter of 145 um. If a 236 g object is suspended by the single strand of hair that is originally 17.5 cm long, by how much AL hair will the hair AL hair = m stretch? If the same object were hung from an aluminum wire of the same dimensions as the hair, by how much ALAI would the ALAI = aluminum stretch? If the strand of hair is modeled as a spring, what is its spring N/m constant khair ? khair = E

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

A:

Q: A uniform rope of cross-sectional area 0.50 cm² breaks when the tensile stress in it reaches 6.00 x…

A: Cross sectional area (A) = 0.50 cm2 Tensile stress (T) = 6×106 Nm2

Q: A strand of dragline spider silk has a diameter of 6.0 μm, and can support a mass of 2.9 g.…

A: Required : Approximately how many copper wires would it take tosupport the same mass?

Q: A diamond rod and a tungsten rod have the same length and diameter and are subjected to the same…

A:

Q: A 1.6 x 10-3-kg house spider is hanging vertically by a thread that has a Young's modulus of 4.2 x…

A: Yyty

Q: A 100 N picture hangs from a nail in the wall. The diameter of the nail is 3.00 mm. The shear stress…

A: Write the given values with the suitable variables. F=100Nd=3 mm=3×10-3 m Here, F is the force and d…

Q: Humans can bite with a force of approximately 798 N. If a human tooth has the Young's modulus of…

A: Given:- a cross-sectional area A = 1.2 cm2                          length L = 1.5 cm…

Q: Consider a copper wire with cross-sectional area 4 mm?. The Young's modulus for copper is 1.1 × 1011…

A:

Q: Humans can bite with a force of approximately 809 N. If a human tooth has the Young's modulus of…

A: The Young's modulus of bone is 18×109 Pa. the change in length is, ∆l=FlAY

Q: A heavy crate with weight 4900 N hangs from a thick nylon rope. The rope has a cross-sectional area…

A: Solution: Given that Weight W = 4900 N Area A = 1.4x10-4 m2 youngs modulus E =3.7x109 N/m2

Q: Humans can bite with a force of approximately 796 N. If a human tooth has the Young's modulus of…

A:

Q: An 11.0-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m²) wire is being whirled in a…

A:

Q: Assume Young's modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than a= 15086…

A: Given, Young's modulus = Stress =  Radius = 0.01 m

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 nylon string on a tennis racket is under a tension of 275 N. If the string's radius is 5.00 x 10-4…

A: The equation for the change in length can be obtained from equation for the Young’s Modulus as

Q: What is the tension force in the wire shown below if it stretches 0.35 cm when tightened if young's…

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Q: Humans can bite with a force of approximately 793 N. If a human tooth has the Young's modulus of…

A:

Q: A 0.900 m-long metal wire has a circular cross section of diameter 0.950 mm. One end of the wire is…

A: Write the expression for young’s modulus.

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

A:

Q: A 0.900 m-long metal wire has a circular cross section of diameter 0.950 mm. One end of the wire is…

A:

Q: A cable is 10.0 m long and has a diameter of 2.00 mm. A force of 45.0 N is applied to the end of the…

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Q: The bone breaks if stress greater than 1.50 x 10 8 N/m2 is imposed on it. (a) What is the maximum…

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Q: A 73 m length with a radius of 2.3 m of a cylinder supports a 9.5 x 10 5 kg mass which presses down…

A:

Q: 10) A femur bone of length 30 cm and diameter 2.5 cm is subjected to a compressive tress of 1.5 *10…

A:

Q: A violin string has a radius of 4.1 x 104m. During tuning, 32.5 cm of the string is placed under a…

A: Given Initial lenth of string is 32.5 cm Elongation of lenth is 0.93 cm Assume elongation in elastic…

Q: A particular human hair has a Young's modulus of 3.65×109 N/m2 and a diameter of 155 μm. If a 259 g…

A: (a)Write the expression for young’s modulus of the material.

Q: Assume Young's modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than o= 45844…

A: Young's modulus is Y= 1.5×10¹⁰  N/m²  Maximum stress is σ = 45844 N/m²  Effective radius of the bone…

Q: A mass is hung from identical wires made of iron, lead, nickel, steel, and brass. Which wire will…

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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…

A: Youngs modulus = stressstrain=F/A∆L/L

Q: Nylon breaks when the tensile stress within it reaches 1.0 x 10 ’ Pa. Which range below includes the…

A: Given data: The stress in thread is σ=1×109 Pa. The diameter of thread is d=1.00 mm.

Q: A violin string has a radius of 4.1 x 10* m. During tuning, 32.5 cm of the string is placed under a…

A:

Q: An amusement park ride consists of airplane-shaped cars attached to steel rods. Each rod has a…

A:

Q: A person has 100 kg mass is suspended by his arms on a metallic bar. Determine the strain of the…

A: Given: Introduction: The young's modulus (Y) for a body is the measure of its strength. It is…

Q: Humans can bite with a force of approximately 792 N. If a human tooth has the Young's modulus of…

A: Force exerted (F) = 792 N Cross sectional area (A) = 1.3 cm2= 0.00013 m2Length of bone (L) = 1.7cm =…

Q: Humans can bite with a force of approximately 795 N. If a human tooth has the Young's modulus of…

A: Young's modulus is defined as the ability of a material to withstand the change in length due to…

Q: A particular human hair has a Young's modulus of 3.64 × 10° N/m² and a diameter of 148 μm. If a 217…

A:

Q: A physics lab consists of a large ball attached to a wire. Students hold on to one end of the wire,…

A: Here given the wire of length 1.3 m and diameter 1mm. The young modulus is 20 × 10^10 N/m². The mass…

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: Assume Young's modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than 0= 62780…

A: Young's modulus for the bone,  Breaking stress,  Effective radius of the bone,

Q: A cylindrical specimen of a iron with a Young's modulus of 220 GPa has an original length of 220 mm…

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Q: A 5.0 x 102 N object is hung from the end of a wire of cross-sectional area 1x106 cm?. The wire…

A:

Q: Assume Young's modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than o= 81962…

A: To determine: The maximum force that is exterted on the femur bone

Q: A certain rod stretches 0.90 cm when outward forces with magnitude F are applied to each end. The…

A:

Q: A particular human hair has a Young's modulus of 3.63×109 N/m2 and a diameter of 145 μm. If a 228 g…

A: Write the expression for Young’s modulus, and solve for the change in length of the hair.

Q: The femur bone in a human leg has a minimum effective cross section of 3.15 cm2. How much…

A: The pressure presently working on an object can be defined as the physical force that is being…

Q: When water freezes, it expands by about 9.00%. What would be the pressure increase inside your…

A: Given ∆VV=0.09 Bulk modulus (B)=2.0*109 N/m2 Required ∆P=?

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).