Human bones have a Young's modulus of 1.5 x 1010 Pa. The bone breaks if stress exceeds 1.5 x 10° Pa. If, for example, a femur of length 25.31 cm experiences this stress compressively, what will be the new length of the bone? Answer must be in cm and in two decimal places.

Human bones have a Young's modulus of 1.5 x 1010 Pa. The bone breaks if stress exceeds 1.5 x 10° Pa. If, for example, a femur of length 25.31 cm experiences this stress compressively, what will be the new length of the bone? Answer must be in cm and in two decimal places.

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: The total cross-sectional area of the load-bearing calcified portion of the two forearm bones…

A: Cross-sectional area is Initial velocity is Final velocity is Time is Mass is Note:Find:The…

Q: A 2.5 meter metal column has a 4500kg load placed on it and it compresses 0.0016 meters. If the…

A: The Young's modulus is given by, Y=stressstrain The stress is given by, stress=FA Here, F is the…

Q: The maximum height h of a mountain depends on the density of the rock the mountain is made out of ?ρ…

Q: A 18 cm long tendon was found to stretch 5.4 mm by a force of 14.0 N. The tendon was approximately…

Q: The total cross-sectional area of the load-bearing calcified portion of the two forearm bones…

A: Given that - Mass Velocity Cross sectional area To Find - We have to determine the required…

Q: A cable hanging vertically under gravity must support its weight, w = mg, where m is the mass of the…

A: To avoid snapping of the cable, the tensile strength will be equal to the force per unit area. Write…

Q: Many caterpillars construct cocoons from silk, one of the strongest naturally occurring materials…

Q: The Young's modulus for aluminium is 7 × 10¹0 Pa. You want an aluminium wire to not stretch more…

A: Given data: Young's modulus (Y) = 7×1010 Pa Stretch in wire (ΔL) = 1.8 cm = 0.018 m Original Length…

Q: A 0.600-mm diameter wire stretches 0.500% of its length when it is stretched with a tension of 20.0…

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

Q: A 2.5 x 105 kg mass presses down 18 inches high stock file that causes the file to deform at 2.7 cm…

A: The area of the stack file. Given, Shear ModulusG=7.4×1010 N·massm=2.5×105 kgdeformationx=2.7…

Q: The largest tendon in the body, the Achilles tendon, connects the calf muscle to the heel bone of…

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

Q: Assume a human leg contains a 50cm long bone with an average cross section of 3cm2. By how much (in…

Q: Young's modulus for compression of human bone is approximately 9x10⁹ N/m^2. Assume that a femur has…

A: Given in question : Young's modulus (Y) = 9 x 109 N/m2 Stress (S) = 7.5 x 107 N/m2 Length of the…

Q: A cube with 2.0 cm sides is made of material with a bulk modulus of 4.7 x 10³ N/m². When it is…

Q: Assume Young's modulus for bone is 1.50 x 1010 N/m2. The bone breaks if stress greater than 1.50 x…

A: Given : Young's modulus for bone, Y = 1.50*1010 N/m2 Stress to break the bone, S =…

Q: A cable used to lift heavy materials can resist breaking even under a load of 1 meganewtons. The…

Q: Steel beams are used for load bearing supports in a building. Each beam is 4.0 m long with a…

Q: A metal bar’s dimensions are 1 in x 2 in. If the bar has a modulus of elasticity of 4.14x10^9 Pa,…

A: Given Initial lenth is 15 in Final lenth = 15.25 in Dimensions = 1*2 in E = 4.14*10⁹ pa concept…

Q: The legs of a weight lifter must ultimately support the weights he has lifted. A human tibia…

A: Given data- For human tibia (shinbone) outer diameter Dout=3.6 cm=0.036 m inner diameter Din=2.5…

Q: A 73-kg snow skier is being pulled up a 19° slope by a steel (Young's modulus 2.0 x 10¹1 N/m²)…

Q: A sphere of copper has a radius of 8.00 cm and is compressed uniformly by a force of 5.00 × 108 N.…

Q: Bone has a Young's modulus of about 18 ✕ 109 Pa. Under compression, it can withstand a stress of…

A: Given, Stress = 157× 106 pa L = 0.45 m Y= 18 × 109 pa

Q: Assume a human leg contains a 50cm long bone with an average cross section of 3cm. By how much (in…

Q: Many caterpillars construct cocoons from silk, one of the strongest naturally occurring materials…

Q: A steel cable of diameter 2 cm is acted upon by 50000 N of tension. If Young’s modulus is 20 x 1010…

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

Human bones have a Young's modulus of 1.5 x 1010 Pa. The bone breaks if
stress exceeds 1.5 x 10° Pa. If, for example, a femur of length 25.31 cm
experiences this stress compressively, what will be the new length of the
bone?
Answer must be in cm and in two decimal places.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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

Between each pair of vertebrae in the spinal column is a cylindrical disc of cartilage. Suppose that such a particular disc of cartilage has a a radius of 3.118 cm (100cm = 1 meter) and a thickness of 6.877 mm (1000mm= 1meter). The shear modulus of cartilage is 1.2 × 107 N/m2. Suppose that a shearing force of magnitude 9 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 in microns (1 meter = 106 microns)?
A diver stands (100kg) at the end of a diving board, causing the board to dip 15cm. Theboard has a width of 34cm and a thickness of 6cm. If the shear modulus of the board is2X10^6Pa, what is the length of the board? (Answer: 6.24m)
A steel wire, 3.0 m long, has a diameter of 1.0 mm. If a 10 kg load is hung from the wire how far will it stretch? Young's modulus for steel is 2.0 × 10^11 pa
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)?
Gold, which has a density of 19.32 g/cm3, is the most ductile metal and can be pressed into a thin leaf or drawn out into a long fiber. (b) If, instead, the gold is drawn out into a cylindrical fiber of radius 2.100 μm, what is the length of the fiber?
Masses M1 and M2 are supported by wires that have equal lengths when unstretched. The wire supporting M1 is an aluminum wire 1.35 mm in diameter, and the one supporting M2 is a steel wire 0.4 mm in diameter. What is the ratio M1/M2 if the two wires stretch by the same amount? Young’s modulus for aluminum is 7 × 10^10 N/m^2and for steel 2 × 10^11 N/m^2. *