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A rock climber, of mass 49.0 kg, having pegged her 8.00 m long rope to the...

A rock climber, of mass 49.0 kg, having pegged her 8.00 m long rope to the rock face at her height, loses her footing and falls freely and vertically until her fall is checked by the rope which stretches 12% of its original length. Neglect the mass of the rope and air resistance. Assuming the rope behaves like a spring, what is its spring constant?

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