Okay, bit of a weird one. Imagine an object of known mass in free fall, tethered by a wire rope to an infinitely stiff sky hook. When that wire rope eventually tightens, what will be the stopping force on said object, i.e. the dynamic tension experienced by the wire?
Using linear motion equations we can determine the final velocity of the object. If the stopping time or distance were known then we could calculate the object's deceleration and therefore the Force.
However, how does one determine the deceleration? I thought about using Hooke's law or the wire's strain as a way to determine it's elongation - but one cannot work these out without the force! Also I can't find any reliable info on a wire's stiffness.
Is there a rule of thumb for something like this?
Any help or pointers are gratefully received.