Follow your lead
Suppose a climber is \(h\) m above the last clip \(A\), which is \(d\) m above the ground, falls and feels an average force \(F_d\) from the rope. How does \(F_d\) compare to the force they feel when falling from the same distance \(h\) m above their last clip when the last clip is \(2d\) m above the ground?
- Pretend the rope acts like an elastic solid with Young's modulus \(E\)
- Assume your friend holds their end of the rope with infinite grip