Two rock climbers, Jim and Karen, use safety ropes of simi-lar length. Karen\'s

Question

Two rock climbers, Jim and Karen, use safety ropes of simi-lar length. Karen's rope is more elastic, called adynamic rope by climbers. Jim has a static rope, not recommended for safety purposes in pro climbing. Karen falls freely about 2.0 m and then the rope stops her over a distance of 1.0 m

A)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?

Explanation / Answer

A)

Here , Let the Force be F

then as W = mg

Using coservation of energy

mg*2 = (F - mg)*1

F = 3mg

F = 3 W

this force is 3 times her weight

B)

Here , Let the Force be F

then as W = mg

Using coservation of energy

mg*2 = (F - mg)*0.30

F = 7.67 mg

F = 7.67 W

Karen feels a force 7.67 times her weight

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