Your and your friend are going on a hike and your friend accidentally falls into a well. You have two options to help him get up to the top. The well is 15m in height. The first option is to tie a rope at the top and throw the other end down to him so he can climb up the rope. The second option is to put the rope over a pulley and have him pull himself up. One end of the rope is tied to your friend and at the other end his hands will help pull him up. The maximum tension that the rope can withstand is 700N before it breaks. Your friend has a mass of 70kg. The pulley is fixed and not moving. a) Which method will get him up the well the fastest without breaking the rope, option 1 or option 2? (hint: figure out the maximum acceleration without breaking the rope) b) How much time will it take him to get up with option 1 ? c) How much time will it take him to get up with option 2?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter12: Static Equilibrium And Elasticity
Section: Chapter Questions
Problem 37P: To get up on the roof, a person (mass 70.0 kg) places 6.00-m aluminum ladder (mass 10.0 kg) against...
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Your and your friend are going on a hike and your friend accidentally falls into a well. You have two options to help him get up to the top. The well is 15m in height.
The first option is to tie a rope at the top and throw the other end down to him so he can climb up the rope.
The second option is to put the rope over a pulley and have him pull himself up. One end of the rope is tied to your friend and at the other end his hands will help pull him up.
The maximum tension that the rope can withstand is 700N before it breaks. Your friend has a mass of 70kg. The pulley is fixed and not moving.
a) Which method will get him up the well the fastest without breaking the rope, option 1 or option 2? (hint: figure out the maximum acceleration without breaking the rope)
b) How much time will it take him to get up with option 1 ? c) How much time will it take him to get up with option 2?

 
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