Life-Safety Cordage
The rope out is the shock absorber. The same fall onto half the rope is a far harder catch.
— kN
On a rigid anchor, ignoring belay and knot slip
Decision-support only, and deliberately pessimistic in one way and optimistic in another: it assumes a perfectly rigid anchor with no belay slip, rope drag or knot tightening, all of which lower real impact force — while also assuming an ideal elastic rope, which an aged or wet rope is not. Life-safety equipment must be selected and inspected against its certification, never against a model.
Climbing Rope Fall Factor & Impact Force Calculator — free, with the formula and a worked example, at Textile School.