Forces created by a falling climber fall factor fall factor=distance fallen/rope in the system a high fall factor is bad, the reason we use this instead of distance fallen is that the more rope there is in the system, there is more rope to elongate and absorb forces. https://www.petzl.com/US/en/Sport/Fall-factor-and-impact-force---theory?ActivityName=rock-climbing based off the left example image: length of rope in the system=10m assumed m=75kg example rope has a dynamic stretch factor 37% according to manufacturer. with 10 m of rope, this becomes 3.7 m of dynamic stretching the climber falls 4m while undergoing the acceleration of gravity. assuming initial velocity is zero, this gives a maximum downward velocity of 8.86 m/s once the length of the rope has been reached, dynamic elongation begins and the process of slowing the climber down takes place. The climber is slowed from 8.8 https://www.bergfreunde.eu/fall-factor-calculator/ 6m/s to 0m/s in 3.7m. This gives us an upwards acceleration of 10.6 m/s*s or a force of approximately 795 N however, the actual formula for determining the forces in climbing fall is where: m is mass of climber g is acceleration due to gravity E is elongation A is diameter of rope f is fall factor Using this, we find a force of approximately 3.14 kn, significantly higher than originally predicted.