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My Home xWileyPLUS s://edugen.wileyplus.com/edugen/student/mainfr.uni WilleyPLUS: MywileyPLUsHI Contact us I Log GENERAL PHYSICS (PHYS 2001/200 Cutnell, Physics, 10e ce Assignment Gradebook ORION Downloadable eTextbook ent FULL SCREEN PRINTER VERSION BACK NEXT Chapter 10, Problem 34 A 67.8-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 1.45 x 103 N/m. He accidentally slips and falls freely for 0.807 m before the rope runs out of slack. How much is the rope stretched when it breaks his fall and momentarily brings him to rest? Number the tolerance is +/-2% Units LINK TO TEXT Question Attempts: Unlimited SAVE FOR LATER SUBIT ANSWER & Sons, Inc. All Rights Reserved. A Division of Ichn Wiley &.Sons, Inc Version 4.24.2.4

Explanation / Answer

initial mechanical energy Ei = 0

the rope stretches a distance y

after coming to rest momentarily

final mechanical energy Ef = -m*g*(h+y) + (1/2)*k*y^2

from energy conservation

Ef = Ei

-m*g*(h+y) + (1/2)*k*y^2 = 0

-67.8*9.8*(0.807+y) + (1/2)*1.45*10^3*y^2 = 0

y = 1.43 m <<<--ANSWER

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