How to solve my physisc question? can anybody answer!

Posted on 2014-12-05 13:20:00 in Physics by DANIEL

Stretchable ropes are used to safely arrest the fall of rock climbers. Suppose one end of a
rope with unstretched length L is anchored to a cliff and a climber of mass m is attached to
the other end. Assume that a stretchable climbing rope behaves as a spring with spring
constant k.

Consider the worst case scenario: When the climber is at the maximum unstretched extent
of the rope above the anchor point, she slips and falls! Once the rope becomes taught again,
it stretches an additional distance x and safely stops the climber's fall.

(a) Find x in terms of the other variables given.

(b) What is the net force on the climber at her lowest point?

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