**Flying Circus of Physics**The figure illustrates an approximate plot of stress versus strain for a spider-web thread, extending to the point of breaking at a strain of 2.20. The vertical axis is defined by three scales: \( a = 0.190 \, \text{GN/m}^2 \), \( b = 0.300 \, \text{GN/m}^2 \), and \( c = 0.720 \, \text{GN/m}^2 \). Assume that the thread initially measures 0.720 cm in length, has an initial cross-sectional area of \( 4.00 \times 10^{-12} \, \text{m}^2 \), and maintains a constant volume during stretching. The strain on the thread is the ratio of the change in its length to the initial length, while the stress is the ratio of the collision force to the initial cross-sectional area. Additionally, when a single thread snares a flying insect, the insect’s kinetic energy is transferred to the stretching thread.Questions to consider:(a) What amount of kinetic energy would bring the thread to the verge of breaking?(b) What is the kinetic energy of a fruit fly with a mass of 7.50 mg and a speed of 2.00 m/s?(c) What is the kinetic energy of a bumblebee with a mass of 0.370 g and a speed of 0.800 m/s?Would (d) the fruit fly and (e) the bumblebee break the thread?**Graph Explanation**The graph plots the stress (in GN/m²) on the vertical axis against the strain on the horizontal axis. It shows a curve that begins at the origin, increasing steadily until it reaches the breaking point at a strain of 2.20 and a stress of \(c = 0.720 \, \text{GN/m}^2\). The diagram indicates three key stress values marked by horizontal dashed lines corresponding to \(a = 0.190 \, \text{GN/m}^2\), \(b = 0.300 \, \text{GN/m}^2\), and \(c = 0.720 \, \text{GN/m}^2\).

The figure shows an approximate plot of stress versus strain for a spider-web thread, out to the point of breaking at a strain of 2.20. The vertical axis scale is set by a = 0.190 GN/m²,b = 0.300 GN/m?, and c = 0.720 GN/m². Assume that the thread has an initial length of 0.720 cm, an initial cross-sectional area of 4.00 × 10-12 m², and (during stretching) a constant volume. The strain on the thread is the ratio of the change in the thread's length to that initial length, and the stress on the thread is the ratio of the collision force to that initial cross-sectional area. Assume also that when the single thread snares a flying insect, the insect's kinetic energy is transferred to the stretching of the thread. (a) How much kinetic energy would put the thread on the verge of breaking? What is the kinetic energy of (b) a fruit fly of mass 7.50 mg and speed 2.00 m/s and (c) a bumble bee of mass 0.370 g and speed 0.800 m/s? Would (d) the fruit fly and (e) the bumble bee break the thread? 1.00 1.25 2.20 Strain Stress (GN/m²)

The figure shows an approximate plot of stress versus strain for a spider-web thread, out to the point of breaking at a strain of 2.20. The vertical axis scale is set by a = 0.190 GN/m²,b = 0.300 GN/m?, and c = 0.720 GN/m². Assume that the thread has an initial length of 0.720 cm, an initial cross-sectional area of 4.00 × 10-12 m², and (during stretching) a constant volume. The strain on the thread is the ratio of the change in the thread's length to that initial length, and the stress on the thread is the ratio of the collision force to that initial cross-sectional area. Assume also that when the single thread snares a flying insect, the insect's kinetic energy is transferred to the stretching of the thread. (a) How much kinetic energy would put the thread on the verge of breaking? What is the kinetic energy of (b) a fruit fly of mass 7.50 mg and speed 2.00 m/s and (c) a bumble bee of mass 0.370 g and speed 0.800 m/s? Would (d) the fruit fly and (e) the bumble bee break the thread? 1.00 1.25 2.20 Strain Stress (GN/m²)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

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).

Question

**Flying Circus of Physics**

The figure illustrates an approximate plot of stress versus strain for a spider-web thread, extending to the point of breaking at a strain of 2.20. The vertical axis is defined by three scales: \( a = 0.190 \, \text{GN/m}^2 \), \( b = 0.300 \, \text{GN/m}^2 \), and \( c = 0.720 \, \text{GN/m}^2 \). Assume that the thread initially measures 0.720 cm in length, has an initial cross-sectional area of \( 4.00 \times 10^{-12} \, \text{m}^2 \), and maintains a constant volume during stretching. The strain on the thread is the ratio of the change in its length to the initial length, while the stress is the ratio of the collision force to the initial cross-sectional area. Additionally, when a single thread snares a flying insect, the insect’s kinetic energy is transferred to the stretching thread.

Questions to consider:
(a) What amount of kinetic energy would bring the thread to the verge of breaking?
(b) What is the kinetic energy of a fruit fly with a mass of 7.50 mg and a speed of 2.00 m/s?
(c) What is the kinetic energy of a bumblebee with a mass of 0.370 g and a speed of 0.800 m/s?
Would (d) the fruit fly and (e) the bumblebee break the thread?

**Graph Explanation**

The graph plots the stress (in GN/m²) on the vertical axis against the strain on the horizontal axis. It shows a curve that begins at the origin, increasing steadily until it reaches the breaking point at a strain of 2.20 and a stress of \(c = 0.720 \, \text{GN/m}^2\). The diagram indicates three key stress values marked by horizontal dashed lines corresponding to \(a = 0.190 \, \text{GN/m}^2\), \(b = 0.300 \, \text{GN/m}^2\), and \(c = 0.720 \, \text{GN/m}^2\).

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