A cylindrically shaped piece of collagen (a substance found in the body in connective tissue) is being stretched by a force that increases from 0 to 3.0 × 10-2 N. The length and radius of the collagen are, 2.5 cm and 0.091 cm, respectively, and Young's modulus is 3.1 × 106 N/m². a. If the stretching obeys Hooke's law, what is the spring constant k for the collagen? b. How much work is done by the force that stretches the collagen? (Hint: The potential energy due 1 to a varying force from 0 to 3.0 × 10-2 N is given by U = - kx².)

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A: Given: Mass m=0.500 kg Elongation  y=10.5 cm=10.5×10-2 m Mass m1=1.25 kg

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Q: The weight of the crate is 50 kg and the spring constant is 200 N/m in DB. Use g= 9.81 m/s2. What is…

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Q: Ex : What is the spring constant of a human femur under compression the linear limit of the femur…

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Q: A 686 kg load is hung on a wire of length 9 m, cross-sectional area 0.200 x 10 m, and Young's…

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

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Q: (a) The stress for low alloys steel at which plastic deformation begins is 550 MPa, and the modulus…

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Q: A 1.60-meter-long steel piano wire has a diameter of 0.200 cm. How great is the tension (in Newtons)…

A: Length of the wire is l = 1.060 m Diameter is 0.2 cm

Q: : The weight of the crate is 50 kg and the spring constant is 200 N/m in DB. Use g= 9.81 m/s2. a.…

A:

Q: Q4) A force of magnitude F = 62 × 10° N is applied perpendicularly to the steel rod of radius 9.5 mm…

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Q: Suppose that we have two hanging rods of the same length 2.8 m. However, their cross sections are a…

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A: Young's modulus (Y) = 2.1×1011 PaArea (A) = 1.5×10-5 m2Length (L) = 18 m maximum stress = 3000 MPa

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A: Period (T) = 2.5 seconds

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).