Solve Physics Problem: Max Force & Height for Bone Fracture

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SUMMARY

The discussion focuses on solving a physics problem related to bone fracture mechanics, specifically calculating the maximum force and height for a 75 kg individual. Young's modulus for bone is established at 1.4 x 1010 Pa, with a maximum allowable strain of 1.0%. The minimum cross-sectional area of the tibia is given as 3.0 cm². The solution involves applying the formula for Young's modulus, Y = stress/strain, and utilizing Newton's second law and conservation of energy principles to derive the required values.

PREREQUISITES
  • Understanding of Young's modulus and its application in material science
  • Knowledge of stress and strain calculations
  • Familiarity with Newton's second law of motion
  • Basic principles of conservation of energy in physics
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  • Calculate maximum force using the formula: Force = Young's modulus × (strain × area)
  • Explore the concept of stress in materials and its relevance to biomechanics
  • Learn about energy conservation in the context of jumping and impact forces
  • Investigate the effects of different materials on fracture mechanics
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This discussion is beneficial for physics students, biomechanics researchers, and professionals in material science who are interested in understanding the mechanical properties of biological tissues and their limits under stress.

alonzo
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Physics problem - please help!

I have absolutely no idea wat this question is talking about.
Young’s modulus for bone is about 1.4 x 10E10 Pa, and bone can only undergo a 1.0% decrease in length before fracturing, so
(a) What is the maximum force that can be applied to a bone whose minimum cross – sectional area is 3.0 cm², without fracturing? (This is the approximate area of the tibia at its narrowest).
(b) What is the maximum height from which a 75kg person could jump without fracturing the tibia? Assume that stress is the same in both legs, and that the time between first touching the floor and coming to rest is 0.035s.

Thanks for your help!
 
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Usually we need you to post your work on a problem before we help out.

However, I think I might be able to steer you in the right direction.

Remember that Young Modulus is defined (one dimensionally) as :

Y (or E) = stress/strain

Where stress is Force/Area(cross sectional)

and strain is (change in length)/(original length)

For part a you are given all of these but the force.
All you need to do is plug your values in.
 
As a suggestion you can use Newton's 2nd Law and Conservation of Energy to get the height for part b. Do you know what the answer should be?
 

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