A death-defying rock climber is scaling a perfectly vertical section of a mountain wall. She used her rivet gun to fix her 6-meter-long rope to the wall so that it is anchored above her. The rope is attached to her waist and the distance between her waist and the bottoms of her feet is I meter. Now she extends her legs perfectly straight and horizontally (with respect to the ground below) so that she is supported by only her rope and the soles of her climbing shoes. The situation is a perfect right triangle, with her rope as the hypotenuse. The climber has a mass of 53 kg. The coefficient of static friction between her feet and the wall is 0.3 g= 9.8 m/s? a. What is the tension in Newtons of her rope at this moment? b. What is the strength in Newtons of the normal force on her feet from the wall?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
icon
Concept explainers
Question
A death-defying rock climber is scaling a perfectly vertical section of a mountain wall. She used her rivet gun to fix her 6-meter-long rope to the wall so that it is anchored above her. The rope is attached to her waist and the distance between her waist and the bottoms of her feet is 1 meter.

Now she extends her legs perfectly straight and horizontally (with respect to the ground below) so that she is supported by only her rope and the soles of her climbing shoes. The situation is a perfect right triangle, with her rope as the hypotenuse.

The climber has a mass of 53 kg. The coefficient of static friction between her feet and the wall is 0.3

\( g = 9.8 \, \text{m/s}^2 \)

a. What is the tension in Newtons of her rope at this moment?

b. What is the strength in Newtons of the normal force on her feet from the wall?
Transcribed Image Text:A death-defying rock climber is scaling a perfectly vertical section of a mountain wall. She used her rivet gun to fix her 6-meter-long rope to the wall so that it is anchored above her. The rope is attached to her waist and the distance between her waist and the bottoms of her feet is 1 meter. Now she extends her legs perfectly straight and horizontally (with respect to the ground below) so that she is supported by only her rope and the soles of her climbing shoes. The situation is a perfect right triangle, with her rope as the hypotenuse. The climber has a mass of 53 kg. The coefficient of static friction between her feet and the wall is 0.3 \( g = 9.8 \, \text{m/s}^2 \) a. What is the tension in Newtons of her rope at this moment? b. What is the strength in Newtons of the normal force on her feet from the wall?
Expert Solution
Step 1

Physics homework question answer, step 1, image 1

steps

Step by step

Solved in 3 steps with 6 images

Blurred answer
Knowledge Booster
Stress and strain
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON