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CP BIO Stress on the Shin Bone. The compressive strength

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 94P Chapter 11

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 94P

CP BIO Stress on the Shin Bone. The compressive strength of our bones is important in everyday life. Young’s modulus for bone is about 1.4 X 1010 Pa. Bone can take only about a 1.0% change in its length before fracturing. (a) What is the maximum force that can be applied to a bone whose minimum cross-sectional area is 3.0 cm2? (This is approximately the cross-sectional area of a tibia, or shin bone, at its narrowest point.) (b) Estimate the maximum height from which a 70-kg man could jump and not fracture his tibia. Take the time between when he first touches the floor and when he has stopped to be 0.030 s, and assume that the stress on his two legs is distributed equally.

Step-by-Step Solution:

Solution 944P Step 1 : Given 10 Youngs modulus of bone, y = 1.4×10 Cross sectional area of bone, A =3cm = 3×10 -4 Let l = the length of the bone 0 And F max Maximum force that can applied to the bone before it fractured. The bone can take 1% change in its length before fracturing. l= 1%of l 0 = 0.01 l0 Step 2: a) Youngs modulus is the measure of elasticity, equal to the ratio of the stress acting on a substance to the strain produced. Y = Fmax/A l/l0 Fmax× l0 Y = l× A Step 3: Put the value l= 0.01 l in0he above equation Y = Fmax× l0 (0.01) l0×A The l0 t canceled out and the equation become Y = Fmax 0.01 A From the above equation we write down the equation for F max Fmax Y ×0.01×A F = (1.4×10 ) ×0.01×( 3×10 ) -4 max 4 Fmax .2×10 This is the maximum force that can apply to the bone.

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Chapter 11, Problem 94P is Solved
Step 5 of 6

Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

The full step-by-step solution to problem: 94P from chapter: 11 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This textbook survival guide was created for the textbook: University Physics, edition: 13. The answer to “CP BIO Stress on the Shin Bone. The compressive strength of our bones is important in everyday life. Young’s modulus for bone is about 1.4 X 1010 Pa. Bone can take only about a 1.0% change in its length before fracturing. (a) What is the maximum force that can be applied to a bone whose minimum cross-sectional area is 3.0 cm2? (This is approximately the cross-sectional area of a tibia, or shin bone, at its narrowest point.) (b) Estimate the maximum height from which a 70-kg man could jump and not fracture his tibia. Take the time between when he first touches the floor and when he has stopped to be 0.030 s, and assume that the stress on his two legs is distributed equally.” is broken down into a number of easy to follow steps, and 125 words. Since the solution to 94P from 11 chapter was answered, more than 733 students have viewed the full step-by-step answer. University Physics was written by and is associated to the ISBN: 9780321675460. This full solution covers the following key subjects: bone, shin, area, take, stress. This expansive textbook survival guide covers 26 chapters, and 2929 solutions.

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