Solve Physics Problem: Max Force & Height for Bone Fracture

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In summary, the conversation discusses a physics problem related to Young's modulus and bone fracture. The problem involves calculating the maximum force and height that a bone can withstand without fracturing. The equation for Young's modulus is given and the question provides all the necessary values except for force. The conversation also suggests using Newton's 2nd Law and Conservation of Energy to solve for the height in part b.
  • #1
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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  • #2
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.
 
  • #3
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?
 

1. What is the maximum force that can cause a bone fracture?

The maximum force that can cause a bone fracture depends on various factors such as the type of bone, its thickness, and the direction of the force. Generally, bones can withstand forces of up to 10 times their body weight before breaking.

2. Can a fall from a certain height cause a bone fracture?

Yes, a fall from a certain height can cause a bone fracture. The height from which a person falls and the surface they land on can determine the force of impact and the likelihood of a bone fracture. For example, a fall from a height of 10 feet onto a hard surface can result in a bone fracture.

3. How does the height of an object affect the force required to break a bone?

The height of an object does not directly affect the force required to break a bone. The force required to break a bone depends on the material properties of the bone itself and the direction and magnitude of the force applied to it. However, a fall from a greater height can result in a higher force of impact and increase the likelihood of a bone fracture.

4. Are there any other factors that can affect the force required to break a bone?

Yes, there are other factors that can affect the force required to break a bone. These include the age and health of the individual, as well as any pre-existing conditions that may weaken the bone. Additionally, the angle and direction of the force, as well as the speed of impact, can also play a role in determining the force required to cause a bone fracture.

5. Can bones be strengthened to withstand greater forces?

Yes, bones can be strengthened to withstand greater forces through regular physical activity and a healthy diet. Weight-bearing exercises, such as running and weightlifting, can help strengthen bones by stimulating bone growth and increasing bone density. Adequate intake of calcium and vitamin D is also essential for maintaining strong and healthy bones.

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