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 object is suspended by the single strand of hair that is originally 20.0 cm long, by how much Δ? hairΔL hair will the hair stretch?     If the same object were hung from an aluminum wire of the same dimensions as the hair, by how much Δ?AlΔLAl would the aluminum stretch?     If the strand of hair is modeled as a spring, what is its spring constant ?hair?khair?

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

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

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A: Note: Since there are more than 3 subparts of the question, as per the policy, only the first three…

Q: A tow truck is pulling a car out of a ditch by means of a steel cable (Y = 2.0 x 1011 N/m2) that is…

A: Given that, Young's modulus of steel =2.0×1011 N/m2 Length of the wire  = 9.70 m Radius of the wire…

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

A:

Q: A solid copper cube has an edge length of 88.3 cm. How much stress must be applied to the cube to…

A: Original length (L) = 88.3 cm New length (L') = 88 cm

Q: 2. A human biceps(upper arm muscle) may exert a force of the order of 600N (about 135 Ib) on the…

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A:

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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: The largest tendon in the body, the Achilles tendon, connects the calf muscle to the heel bone of…

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

Q: 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…

A:

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Q: A solid copper cube has an edge length of 81.6 cm. How much stress must be applied to the cube to…

A: Given: L=81.6 cmL'=81.0 cmB=1.4*1011 N/m2

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

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

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Q: A steel wire having a radius of 2.0 mm, carrying a load of 4kg, is hanging from a ceiling. Given…

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Q: Assume that Young's Modulus for bone is 1.50 ✕ 1010 N/m2 and that the bone will fracture if more…

A: (a) Let us calculate the cross-sectional area, A of the bone:

Q: A solid rod with cross section area A= 1.8 cm2 and length LO =16 cm, performed tensile test as shown…

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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 =…

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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:

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A: The linear equation                        Lacl = 0.04606h - (41.29mm)

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,

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Q: determine the change in the tooth's length

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

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Q: The bone breaks if stress greater than 1.50 x 10⁸ N/m2 is imposed on it. (a) What is the maximum…

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Q: What hanging mass will stretch a 2.2-m-long, 0.34 mm - diameter steel wire by 1.2 mm? The Young's…

A:

Q: If the same force F pulls on two cylindrical rods of the same material, which has a greater change…

A: Y=F/A∆L/L=FLA∆L∆L=FLAY=FLπr2Y

Q: Assume Young's modulus for bone is 1.50 x 100 N/m². The bone breaks if stress greater than d= 40607…

A: Young modulus, Y=1.50× 1010 N/m2 Maximum stress, σ=40607 N/m2 Radius, r = 0.01 m

Q: Two wires of unknown compositions, same length, and same diameter were made to support a rod, which…

A: F1/A1>F2/A2

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).