**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)...

See similar textbooks

Similar questions

A 115 m long steel cable with a cross-sectional area of 1.13 x 10-4 m2 issubjected to a tensile force of 565 N. Find the following:a) the stressb) the strainc) the change in length of the cable
A wire having young's modulus 1.2 x 1011 N/m2 is subjected to the stress of 2.4 x 107 N/m2. If the length of the wire is 10 m, find the extension produced in it.
The figure shows the stress-strain curve for a material. The scale of the stress axis is set by s = 290, in units of 106 N/m². What are (a) the Young's modulus and (b) the approximate yield Assume ε = 0.0090. strength for this material? (a) Number i (b) Number Stress (106 N/m²) In Units Units Strain 28
The stress experienced by a certain surface is 17612 Pa when a 17-N force is applied to it. How much force (in N) is needed to increase the stress on the surface by 7 times?
answer in whole number, scientific notation is not allowed
The total cross-sectional area of the load-bearing calcified portion of the two forearm bones (radius and ulna) is approximately 2.0 cm2. During a car crash, the forearm is slammed against the dashboard. The arm comes to rest from an initial speed of 80 km/h in 4.5 ms. If the aum has an effective mass of 3.0 kg, what is the compressional stress that the arm withstands during the crash? Pa Need Help? Read It
A firefighter weighs 730 N. She wears shoes that each cover an area of 309cm2. (a) What is the average stress she applies to the ground on which she is standing? (b) How does the stress change if she stands on only one foot? Show working equations for both (a) and (b). Answer must be in kPa.
If the solid shaft is made from red brass C83400 having allowable shear stress of tallow = 4 ksi, determine the maximum allowable torque T that can be applied at B.
Consider a square-faced beam supporting a section of a building. a) Before installation, the length of the beam is found to be l0 = 15.02 m (figure a). After installation and construction, the length is remeasured and found to be l = 14.98 m (figure b). Determine Young's Modulus Y in N/m2 for the beam if it supports a mass m = 35000 kg and has a side length d = 1.9 m. b) Suppose that after the beam is installed it needs to be repaired. The weight it supports is removed and replaced with a new mass m2 (figure c). After the new mass is supported, the side length is remeasured and found to be larger with a difference of Δd. Assuming that this side length deformation is uniform and small, write an expression for determining Poisson's ratio v for this beam if its Young's modulus Y is known.
The figure shows the stress-strain curve for a material. The scale of the stress axis is set by s = 300, in units of 106 N/m². What are (a) the Young's modulus and (b) the approximate yield strength for this material? Assume & = 0.0010. (a) Number (b) Number 1.5E11 Hint 3E8 eTextbook and Media Stress (10 N/m²) E Strain Units 28 N/m^2 or Pa Units N/m^2 or Pa SUPPORT
The effect of tensile stress of 20 MN/ m2 in a metal wire with a cross-sectional area of ?1.5 mm2. What is the force acting on it
The total cross-sectional area of the load-bearing calcified portion of the two forearm bones (radius and ulna) is approximately 2.3 cm2. During a car crash, the forearm is slammed against the dashboard. The arm comes to rest from an initial speed of 80 km/h in 5.1 ms. If the arm has an effective mass of 3.0 kg, what is the compressional stress that the arm withstands during the crash? Pa