Free Fall Acceleration fractures Problem

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SUMMARY

The discussion centers on calculating the acceleration experienced by the hip during a fall to prevent fractures, specifically reducing the impact speed from 2.0 m/s to 1.3 m/s. The user applied the equation (y1-y0)=(Vf^2-V0^2)/2a, resulting in an acceleration of 57.75 m/s² using a compression of 2.0 cm. However, a suggestion was made to test the calculation with a compression of 3.0 cm, indicating a potential misprint in the problem statement. The accuracy of the calculations and the reliability of the online homework system were questioned.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of acceleration and its units (m/s²)
  • Familiarity with the concept of impact forces and material compression
  • Basic algebra for solving equations
NEXT STEPS
  • Review kinematic equations, particularly the equation for acceleration
  • Research the effects of impact forces on human anatomy
  • Explore the design and effectiveness of elastic hip pads in injury prevention
  • Investigate common errors in online homework systems and how to address them
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and kinematics, as well as healthcare professionals interested in injury prevention strategies for the elderly.

tater08
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Homework Statement


Falls resulting in hip fractures are a major cause of injury and even death to the elderly. Typically, the hip’s speed at impact is about 2.0 m/s. If this can be reduced to 1.3 m/s or less, the hip will usually not fracture. One way to do this is by wearing elastic hip pads.

If a typical pad is 5.0 cm thick and compresses by 2.0 cm during the impact of a fall, what acceleration (in m/s^2) does the hip undergo to reduce its speed to 1.3 m/s?

Homework Equations


(y1-y0)=(Vf^2-V0^2)/2a


The Attempt at a Solution


y1-yO=-2 cm = 0.02M Vf= 1.3 V0=2.0 a=?
1.3^2-2.0^2 =-2.31

(-2.31m^2/s^2)/ 2*-0.02m =a a= 57.75m/s^2

question is...did i do this problem right because this is an online homework problem and i keep getting it wrong so I'm wondering if it is the program or if it just me.

thanks
 
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tater08 said:
Typically, the hip’s speed at impact is about 2.0 m/s. If this can be reduced to 1.3 m/s or less, the hip will usually not fracture. One way to do this is by wearing elastic hip pads.

If a typical pad is 5.0 cm thick and compresses by 2.0 cm during the impact of a fall, what acceleration (in m/s^2) does the hip undergo to reduce its speed to 1.3 m/s?

Hi tater08! :smile:

Your answer looks fine to me! :smile:

I think it must be a misprint …

hmm :rolleyes: … try using 3.0 cm instead of 2.0 cm, and see if the computer accepts that! :smile:
 

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