Sunday 9 September 2018

homework and exercises - Force on carabiner from free fall



Suppose I weigh about $75~\text{kg}$ and I am attached to a (non-elastic) rope which is attached to a carabiner which can take at least $20~\text{kN}$. Suppose furthermore that I reach terminal velocity before the rope is tight, a bit far fetched maybe, but pretend that I reach $530~\text{km/h}$.


What force is being applied to the carabiner once the rope finally is tight?


Since $530~\text{km/h}$ is slightly exaggerated, what speed should I expect to reach when free-falling $5$ meters while rock climbing?




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