Physics

Problem

A climber of mass

60\,\text{kg}

is secured by a safety rope system modeled as two elastic cords in series. The upper cord has stiffness

k_{1} = 1200\,\text{N/m}

and the lower cord has stiffness

k_{2} = 600\,\text{N/m}

. While hanging stationary, what is the total extension of the safety system? Take

g = 10\,\text{m/s}^{2}