Peak impact force of a falling object

[Cornish30]

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

 

[tiny-tim]

Hi Cornish30! Welcome to PF!

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.

 

[Cornish30]

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?