Two rock climbers, Jim and Karen, use safety

Chapter 4, Problem 4.85

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Two rock climbers, Jim and Karen, use safety ropes of similar length. Karen’s rope is more elastic, called a dynamic rope by climbers. Jim has a static rope, not recommended for safety purposes in pro climbing. (a) Karen (Fig. 4–71) falls freely about 2.0 m and then the rope stops her over a distance of 1.0 m. Estimate how large a force (assume constant) she will feel from the rope. (Express the result in multiples of her weight.) (b) In a similar fall, Jim’s rope stretches by only 30 cm. How many times his weight will the rope pull on him? Which climber is more likely to be hurt?

                                                 

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