**Mountain Climber Physics Problem**Consider the **57.0 kg** mountain climber in the figure below.![Diagram of a Mountain Climber](URL-placeholder-for-image)**Diagram Description:** The diagram shows a mountain climber secured by a rope making an angle of **31°** with the vertical rock face. The climber's legs make an angle of **15°** with the horizontal. The forces acting on the climber include the tension \( T \) in the rope and the force \( F \) exerted by her feet on the rock face, which is parallel to her legs.**Questions:**(a) Calculate the tension in the rope and the force that the mountain climber must exert with her feet on the vertical rock face to remain stationary (in Newtons). Assume that the force is exerted parallel to her legs. Also, assume negligible force exerted by her arms.- Tension in rope: \(\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_) N - Force on feet: \(\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_) N (b) What is the minimum coefficient of friction between her shoes and the cliff?\(\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\)

Name: **Mountain Climber Physics Problem**Consider the **57.0 kg** mountain
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Description: **Mountain Climber Physics Problem**Consider the **57.0 kg** mountain climber in the figure below.![Diagram of a Mountain Climber](URL-placeholder-for-image)**Diagram Description:** The diagram shows a mountain climber secured by a rope making an a

Consider the free-body diagram of the climber as follows.

Answered: Consider the 57.0 kg mountain climber…

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Newton's First Law of Motion

If a very smooth ball is rolled down an inclined surface with zero friction, the ball will continue to roll indefinitely for an infinite time, in an attempt to reach to the same height on the opposite hill!

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**Mountain Climber Physics Problem**

Consider the **57.0 kg** mountain climber in the figure below.

![Diagram of a Mountain Climber](URL-placeholder-for-image)

**Diagram Description:**
The diagram shows a mountain climber secured by a rope making an angle of **31°** with the vertical rock face. The climber's legs make an angle of **15°** with the horizontal. The forces acting on the climber include the tension \( T \) in the rope and the force \( F \) exerted by her feet on the rock face, which is parallel to her legs.

**Questions:**

(a) Calculate the tension in the rope and the force that the mountain climber must exert with her feet on the vertical rock face to remain stationary (in Newtons). Assume that the force is exerted parallel to her legs. Also, assume negligible force exerted by her arms.

- Tension in rope: \(\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_) N
- Force on feet: \(\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_) N

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

\(\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\)

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