Question: A 67.0-kg climber is scaling the vertical wall of a mountain. His safety rope is made of a material that, when stretched, behaves like a spring with a spring constant of 1.81 x 103 N/m. He accidentally slips and falls freely for 0.943 m before the rope runs out of slack.
1- How much is the rope stretched when it breaks his fall and momentarily brings him to rest?
If possible just a brief explanation how you got the answer?