Modulus of elasticity of protoplasmic filaments obtained by extraction

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Using microneedles, it was possible to pull out protoplasmic filaments from some types of cells, and the elastic modulus of these filaments at room temperature turned out to be 9*10^3 Pa. If we assume that these threads are absolutely elastic bodies, then it is necessary to determine the stress that arises in the thread when stretched not exceeding 20% ​​of its original length.

To solve problem 10774 we use the following formulas and laws:

• Modulus of elasticity: E = 9*10^3 Pa
• Hooke's law: F = k * Δl, where F is the tensile force, Δl is the change in thread length, k is the elasticity coefficient

Calculation formula for determining the tension in the thread: σ = F / S, where σ is the tension, F is the tensile force, S is the cross-sectional area of ​​the thread.

When the thread is stretched by 20% of the original length, Δl = 0.2 * l, where l is the original length of the thread.

Using Hooke's law, we can express F in terms of Δl: F = k * Δl = k * 0.2 * l

The cross-sectional area of ​​the thread can be represented as S = π * r^2, where r is the radius of the thread.

Thus, the calculation formula for determining the tension in the thread will look like this:

σ = F / S = (k * 0.2 * l) / (π * r^2)

Answer to problem 10774: σ = (k * 0.2 * l) / (π * r^2)

If you have any questions about the solution, don't hesitate to ask. I will try to help.

The online store of digital goods presents to your attention a unique product - “The modulus of elasticity of protoplasmic threads obtained by stretching protoplasm.” This digital product contains a detailed description of the elastic modulus of protoplasmic filaments obtained by microneedle extraction from certain types of cells.

You will have access to a detailed solution to problem 10774, which includes a summary of the conditions, formulas and laws used in the solution, a derivation of the calculation formula and the answer. All material is presented in a beautiful HTML format, which allows you to conveniently view and study the material.

This digital product will be useful to students, teachers and anyone interested in the mechanics of deformable bodies. Get a unique product and expand your mechanical knowledge.

We present a unique product - "Elastic modulus of protoplasmic filaments obtained by stretching protoplasm." This digital product contains a detailed description of the elastic modulus of protoplasmic filaments obtained by microneedle extraction from certain types of cells.

The elastic modulus of these threads at room temperature is 9*10^3 Pa. When the thread is stretched by 20% of the original length, it is necessary to determine the stress that arises in the thread when considering it to be an absolutely elastic body.

To solve problem 10774, formulas and laws of mechanics of deformable bodies are used. A detailed solution includes a brief record of the conditions, formulas and laws that are used in the solution, the derivation of the calculation formula and the answer.

All material is presented in a beautiful HTML format, which allows you to conveniently view and study the material. This digital product will be useful to students, teachers and anyone interested in the mechanics of deformable bodies.

Get a unique product and expand your mechanical knowledge. If you have any questions about the solution, don't hesitate to ask. I will try to help.

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The modulus of elasticity of protoplasmic filaments obtained by stretching protoplasm from certain types of cells using microneedles is 9*10^3 Pa at room temperature. To determine the stress that arises in the thread under stretches not exceeding 20% ​​of its original length, we will consider the thread to be an absolutely elastic body.

We use the formula to calculate voltage:

σ = E * ε,

where σ is stress, E is elastic modulus, ε is deformation.

Since the deformation does not exceed 20%, then ε = 0.2. Substituting the values ​​into the formula, we get:

σ = 910^3 By * 0.2 = 1.810^3 Pa.

Thus, the stress in the thread when stretched not exceeding 20% ​​of its original length is 1.8 * 10^3 Pa.

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