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

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Chapter1: Units, Trigonometry. And Vectors
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**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.

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