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

Two rock climbers, Bill and Karen, use
safety ropes of similar length. Karen’s rope is more elastic, called a dynamic
rope by climbers. Bill has a static rope, not recommended for safety purposes
in pro climbing, (a) Karen falls freely about 2.0m and then the rope stops her
over a distance of 1.0m (Fig. 4-60). 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, Bill’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?

FIGURE 4-60