Problem 10 rope a) A 50.0-kg mountain climber is stationary as shown. Determine the tension in and force that her feet exert on the rock. Neglect any force exerted by her arms. b) What is the minimum coefficient of friction between her shoes and the cliff? Modified from: OpenStax.org College Physics. Image: OpenStax, College Physics 31° 15

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
Topic Video
Question
**Problem 10**

a) A 50.0-kg mountain climber is stationary as shown. Determine the tension in the rope and force that her feet exert on the rock. Neglect any force exerted by her arms. 

b) What is the minimum coefficient of friction between her shoes and the cliff?

*Diagram Explanation:*

The image shows a mountain climber hanging onto a cliff using a rope. The angle between the rope and the vertical cliff is 31 degrees. The diagram includes vectors indicating forces: tension (T) in the rope, and the force exerted by the feet on the rock (\(F_{\text{feet}}\)). The angle at the feet is 15 degrees.

*Source: Modified from OpenStax.org College Physics. Image: OpenStax, College Physics.*
Transcribed Image Text:**Problem 10** a) A 50.0-kg mountain climber is stationary as shown. Determine the tension in the rope and force that her feet exert on the rock. Neglect any force exerted by her arms. b) What is the minimum coefficient of friction between her shoes and the cliff? *Diagram Explanation:* The image shows a mountain climber hanging onto a cliff using a rope. The angle between the rope and the vertical cliff is 31 degrees. The diagram includes vectors indicating forces: tension (T) in the rope, and the force exerted by the feet on the rock (\(F_{\text{feet}}\)). The angle at the feet is 15 degrees. *Source: Modified from OpenStax.org College Physics. Image: OpenStax, College Physics.*
Expert Solution
Step 1: Writing the given data

The frictional force is acting opposite to the motion of the object along the surface of contact. The normal force is always acting perpendicular to the surface.

The vectors can be resolved into two components one along the x-direction and the other along the y-direction.

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Knowledge Booster
Second law of motion
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
  • SEE MORE 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