Peak impact force of a falling object

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SUMMARY

The discussion focuses on calculating the peak impact force experienced by a climber falling onto a rope, specifically an 80 kg climber falling 8 meters over 1.5 seconds. The key equations referenced include Force = Mass X Acceleration, Velocity = Distance / Time, and Kinetic Energy = 0.5(Mass X Velocity²). The conversation emphasizes the importance of the work-energy theorem and how the time or distance taken to stop affects the force experienced upon impact.

PREREQUISITES
  • Understanding of Newton's Second Law (Force = Mass X Acceleration)
  • Familiarity with the work-energy theorem
  • Basic knowledge of kinematics (Velocity = Distance / Time)
  • Concept of kinetic energy in physics
NEXT STEPS
  • Study the work-energy theorem in detail
  • Learn about impulse and momentum in physics
  • Research the effects of rope elasticity on fall dynamics
  • Explore advanced calculations for fall arrest systems in climbing
USEFUL FOR

Climbers, safety engineers, and physics students interested in understanding the dynamics of falls and the forces involved in climbing safety equipment.

Cornish30
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Hi there,

I'm trying to work out how much force is produced if a climber was to fall onto a rope.

I do realize that it would depend on the rope and whether it stretched or not but for this case let's just say it does not have any give in it.

If I use the example of a climb who weighs 80kg, he falls 8m and takes 1.5 seconds can we/I work out the force which is felt?

With my research I have found out that...
Force = Mass X Acceleration
Velocity/ Speed = Distance / Time
Kinetic energy = .5(Mass (Velocity X Velocity))

Can somebody please help me put it all together please??





Homework Equations





The Attempt at a Solution


 
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Hi Cornish30! Welcome to PF! :smile:

What level are you at?

Have you done the work-energy theorem?

The force required to stop someone depends on how long in time it takes to stop them, or what distance it takes to stop them …

the more time (or distance) available, the less the force needed. :wink:
 
I'm not a school or college just trying to get a better understanding for my work.

Work-energy theorem!?

All I would like to be able to do is work out how much fore someone or a piece of equipment would feel if they were to fall and suddenly stop.

I know there are lot's of variables but if I know the equations then I can work out different falls.

Does that make sense?
 

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