8. The Achilles tendon, which connects the calf muscles to the heel, is the thickest and strongest tendon in the body. In extreme activities, such as sprinting, it can be subjected to forces. According to one set of experiments, the average area of the Achilles tendon is 80.0 mm², its average length is 30 cm, and its average Young's modulus is 1480 MPa. a) How much tensile stress is required to stretch this muscle by 10.0 % of its length? b) If we model the tendon as a spring, what is its force constant? c) How many times of an 80-kg sprinter weight can be exerted on his Achilles tendon to stretch it by 2.5 cm?

8. The Achilles tendon, which connects the calf muscles to the heel, is the thickest and strongest tendon in the body. In extreme activities, such as sprinting, it can be subjected to forces. According to one set of experiments, the average area of the Achilles tendon is 80.0 mm², its average length is 30 cm, and its average Young's modulus is 1480 MPa. a) How much tensile stress is required to stretch this muscle by 10.0 % of its length? b) If we model the tendon as a spring, what is its force constant? c) How many times of an 80-kg sprinter weight can be exerted on his Achilles tendon to stretch it by 2.5 cm?

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

Related questions

Q: our biceps muscle is attached to your elbow by the distal biceps tendon. An average adults tendon…

Q: A circular steel wire 1.50 m long must stretch no more than 0.25 cm when a tensile force of 750 N is…

A: The length of the steel wire is 1.50 m. The length by which is stretched is 0.25 cm. The tensile…

Q: The elastic limit of an alloy is 7.0 x 10% N/m². What is the minimum radius rmin of a 4.0 m long…

Q: Orb spiders make silk with a typical radius of of 75 micrometers. Young’s modulus of spider silk:…

A: Given Data:Radius of silk Young's modulus of silk Tensile strength of silk Mass of the spider…

Q: In regions of the cardiovascular system where there is steady laminar blood flow, the shear stress…

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: A tow truck is pulling a car out of a ditch by means of a steel cable that is 9.2 m long and has a…

A: Given that,The length of the steel cable : L = 9.2 (m)The radius of the steel cable : r = 0.50…

Q: One end of a piano wire is wrapped around a cylindrical tuning peg and the other end is fixed in…

Q: a) Figure Q2a shows a hollow tube of rectangular cross-section subjected to an axial compressive…

A: Write the given values with the suitable variables. P=250 kN=250×103 Nb=0.12 md=0.05 mt=0.003 m…

Q: A 24.0 m long aluminum cable with a cross-sectional area of 2.04 x 10-3 m2 is used to suspend a 3.20…

A: Given, Length L = 24.0 m Area A = 2.04 × 10-3 m2 mass m = 3.20 × 103 kg…

Q: A solid copper cube has an edge length of 86.9 cm. How much stress must be applied to the cube to…

Q: A mineshaft has an ore elevator hung from a single braided cable of diameter 2.5 cm. Young’s modulus…

Q: A tendon is subjected to tensile forces. The cross-sectional area of the tendon is 0.0002 m2. If the…

A: See below

Q: solid copper cube has an edge length of 89.4 cm. How much stress must be applied to the cube to…

Q: Consider a cylindrical cable with a hanging weight suspended from it. a. When the mass is removed,…

A: Given that, Mass m=55 kgThe length of the cable when mass is removed is l0=4.78 mThe length of the…

Q: A 35.0 kg mass hangs from a steel wire. The unloaded length of the wire is 3.05 m and it has a…

A: Mass hanging from steel wire, Initial length of an steel wire,…

Q: A solid copper cube has an edge length of 89.9 cm. How much stress must be applied to the cube to…

A: The ratio of volumetric stress with volumetric strain is defined as the bulk modulus. To solve the…

Q: Mechanical engineering question. Need diagram and explanation. No chatgpt.

A: Step 1: Step 2: Step 3: Step 4:

Q: An 11.2-kg stone at the end of a steel (Young's modulus 2.0 x 1011 N/m²) wire is being whirled in a…

Q: A steel wire of length 2.10 m with circular cross section must stretch no more than 0.300 cm when a…

Q: A solid copper cube has an edge length of 88.9 cm. How much stress must be applied to the cube to…

Q: A solid copper cube has an edge length of 80.8 cm. How much stress must be applied to the cube to…

Q: A man with a mass of 68.3 kg stands on one foot. His femur has a cross-sectional area of 8.00 cm2…

A: GivenM= 68.3 kgA =8.00 cm2 =8.00 ×10-4 m2uncompressed length (L) = 50.4 cm = 50.4 × 10-2 mYoung's…

Q: A 2.00-m-long, 1.00-mm-diameter wire is suspended from the ceiling. Hanging a 4.50 kg mass from the…

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

8. The Achilles tendon, which connects the calf muscles to the heel, is the thickest and strongest
tendon in the body. In extreme activities, such as sprinting, it can be subjected to forces.
According to one set of experiments, the average area of the Achilles tendon is 80.0 mm², its
average length is 30 cm, and its average Young's modulus is 1480 MPa.
a) How much tensile stress is required to stretch this muscle by 10.0 % of its length?
b) If we model the tendon as a spring, what is its force constant?
c) How many times of an 80-kg sprinter weight can be exerted on his Achilles tendon to stretch
it by 2.5 cm?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Determine the given data in the step :

VIEW

Step 2: Determine the tensile stress using the formulation of Young's modulus in the step :

VIEW

Step 3: Determine the force constant using the Hooke's law in the step :

VIEW

Step 4: Determine the ratio of the masses through calculations in the step :

VIEW

Solution

VIEW

Step by step

Solved in 5 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A sphere of copper has a radius of 8.00 cm and is compressed uniformly by a force of 5.00 × 108 N. The bulk modulus for copper is 140 x 10⁹ N/m². Calculate the sphere's change in volume AV after compression. Calculate the sphere's final radius R. AV = R = 3.81 x107 Incorrect 0.075 -7 Incorrect m³ m
2. A Torque of magnitude T = 900 N.m is applied at D as shown. Knowing that the diameter of shaft AB is is 60 mm and that the diameter of shaft CD is 45mm, determine the maximum shearing stress in (a) shaft AB, (b) shaft CD. A որոշու B 40 mm 100 mm Figure 2 T = 900 N · m
80. Between each pair of vertebrae in the spinal column is a cylindrical disc of cartilage. Typically, this disc has a radius of about 3.0 X 10-² m and a thickness of about 7.0 x 10-3 m. The shear modulus of cartilage is 1.2 × 10' N/m². Suppose that a shearing force of magnitude 11 N is applied parallel to the top surface of the disc while the bottom surface remains fixed in place. How far does the top surface move relative to the bottom surface?
The ratio of the tensile (or compressive) strength to the density of a material is a measure of how strong the material is "pound for pound." What is the strength of tendon (tensile strength 79.0 MPa, density 1100 kg/m^3)? What is the strength of steel (tensil strength 0.570 GPa, density 7700 kg/m^3)? What is the strength of bone (compressive strength 159 MPa, density 1590 kg/m^3)? What is the strength of concrete (compressive strength 0.410 GPa, density 2700 kg/m^3)?
A solid copper cube has an edge length of 89.8 cm. How much stress must be applied to the cube to reduce the edge length to 89 cm? The bulk modulus of copper is 1.4 x 1011 N/m². Number Units
7. A wire of length 6.5 m with a cross-sectional area of 0.14 cm2 stretches by 4.5 mm when a load of 0.800 kN is hung from it. What is the Young's modulus for this wire?
The muscle fibers in muscle A have a pinnation angle of 25 degrees, while the muscle fibers in muscle B have a pinnation angle of 20 degrees.Two pennate muscles have the same cross sectional area and produce the same tensile stress. Which muscle can produce a greater amount of force? Muscle B Muscle A Muscle A and B produce the same force
What hanging mass will stretch a 2.2-m-long, 0.34 mm - diameter steel wire by 1.2 mm? The Young's modulus of steel is 20×10^10N/m2. Express your answer in kilograms.
The Achilles tendon connects the muscles in your calf to the back of your foot. When you are sprinting, your Achilles tendon alternately stretches, as you bring your weight down onto your forward foot, and contracts to push you off the ground. A 70 kg runner has an Achilles tendon that is 15 cm long with a typical 1.1 x 10-4 m2 area.a. By how much will the runner’s Achilles tendon stretch if the maximum force on it is 8.0 times his weight, a typical value while running?b. What fraction of the tendon’s length does this correspond to?
A 600.00 N ballast is hung from the end of a wire of cross-sectional area 0.0000010 m^2. The wire stretches from its original length of 2.4000 m by 2.4080 mm. a) what is the stress or pressure on the wire? b) what is the elongation strain ( change in L/L initial) on the wire? c) determine young's modulus of the wire.