Human Falling Determine Force on Achilles

In summary, a 45 kg woman jumps from a height of 2.5 meters and lands on the ball of her feet with her knees bent. Her center of gravity drops 80 cm before she stops, resulting in an average deceleration of 30.625. The average force needed on her feet to stop her fall is calculated to be 1378 Newtons. Additionally, the Achilles tendon will experience a force of 3441.67 Newtons during this time.
  • #1
smitty13
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Homework Statement


A 45 kg woman jumps from a height of 2.5 meters to a solid
floor. In an attempt to minimize the likelihood of injury, she lands on the ball
of her feet (the pads just behind her toes) with her knees bent. What
average force is needed on her feet to stop her fall if her center-of-gravity
after touching the floor drops 80 cm before she stops? If the horizontal
distance from the ball of her foot to her talus (where her tibia exerts its
force) is 15 cm, and from talus back to the Achilles tendon is 3.6 cm, what
average force does the Achilles tendon suff er during the stopping time


Homework Equations


F = ma
vf^2 = vi^2 + 2ad


The Attempt at a Solution



I've solved for vf = 7 m/s and the average deceleration of the woman (49/(2*.8m)) = 30.625 and even got to an average force answer of 6028.13 Newtons per second using average deceleration and time but just got stuck from there. Can anybody help me out?
 
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  • #2

1. What is the purpose of studying the force on the Achilles tendon during a fall?

Studying the force on the Achilles tendon during a fall is important because it can help us understand the mechanisms of injury and develop preventive measures. It can also provide insights into the biomechanics of the human body and inform the design of safety equipment.

2. How is the force on the Achilles tendon measured during a fall?

The force on the Achilles tendon can be measured using force plates, which are devices that measure the ground reaction force exerted by a person during a fall. This force is then used to calculate the force on the Achilles tendon using biomechanical equations.

3. What factors affect the force on the Achilles tendon during a fall?

The force on the Achilles tendon during a fall can be affected by various factors such as the height and angle of the fall, the weight and body composition of the person, the speed of the fall, and the surface on which the fall occurs. Other factors such as age, gender, and physical fitness may also play a role.

4. Are there any risks associated with measuring the force on the Achilles tendon during a fall?

There are minimal risks associated with measuring the force on the Achilles tendon during a fall. Force plates are designed to minimize the impact on the body and are considered safe for use in research studies. However, precautions should be taken to ensure the safety of the participant, such as proper training and supervision.

5. How can the results of studying the force on the Achilles tendon during a fall be applied in real life?

The results of studying the force on the Achilles tendon during a fall can be applied in various fields such as sports medicine, injury prevention, and product design. For example, understanding the force on the Achilles tendon can help in developing techniques to reduce the risk of injury during sports activities or improve the design of safety equipment for fall protection.

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