Two rock climbers, Jim and Karen, use safety ropes of similar length. Karen’s rope is

Chapter 4, Problem 84GP

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QUESTION:

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 falls freely about 2.0 m and then the rope stops her over a distance of 1.0 m (Fig. 4-63). Estimate, assuming that the force is constant, how large a force she will feel from the rope. (Express the result in multiples of her weight.) (b) In a similar fall, Jim’s rope stretches by 30 cm only. How many times his weight will the rope pull on him? Which climber is more likely to be hurt?

                         

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QUESTION:

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 falls freely about 2.0 m and then the rope stops her over a distance of 1.0 m (Fig. 4-63). Estimate, assuming that the force is constant, how large a force she will feel from the rope. (Express the result in multiples of her weight.) (b) In a similar fall, Jim’s rope stretches by 30 cm only. How many times his weight will the rope pull on him? Which climber is more likely to be hurt?

                         

ANSWER:

Solution 84 GP

Step 1 of 5

For two rock climbers, Jim and Karen, we need to find (a) The force of Karen that she will feel on the rope. And (b) to find how many times the Jim’s weight will the rope pull on him?

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