Question

A 44.9 kg mountain climber is rappelling down a steep mountain face. Her foot makes contact with the rock at point A. Her rope attaches to her harness at point B, which is located at x1 = 0.84 m and y1 = 0.41 m relative to point A. Her centre of mass is found at point C, which has an x coordinate x2 = 1.01 m relative to point A. 4. [1pt] Calculate to 4 sig.figs. the tension in the rope if the rope makes an angle of ? = 47° with respect to the horizontal. 5. [1pt] What is the force of friction between her foot and the rock at point A? Include the appropriate sign in your answer to indicate the direction according to the usual sign conventions. Make sure to use 4 sig.figs. for the tension calculated above. 6. [1pt] What is the minimum coefficient of static friction between her foot and the rock to prevent her from slipping?

          A 44.9 kg mountain climber is rappelling down a steep mountain face. Her foot makes contact with the rock at point A. Her rope attaches to her harness at point B, which is located at x1 = 0.84 m and y1 = 0.41 m relative to point A. Her centre of mass is found at point C, which has an x coordinate x2 = 1.01 m relative to point A.

4. [1pt]
Calculate to 4 sig.figs. the tension in the rope if the rope makes an angle of ? = 47° with respect to the horizontal.

5. [1pt]
What is the force of friction between her foot and the rock at point A? Include the appropriate sign in your answer to indicate the direction according to the usual sign conventions. Make sure to use 4 sig.figs. for the tension calculated above.

6. [1pt]
What is the minimum coefficient of static friction between her foot and the rock to prevent her from slipping?

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A 44.9 kg mountain climber is rappelling down a steep mountain face. Her foot makes contact with the rock at point A. Her rope attaches to her harness at point B, which is located at x1 = 0.84 m and y1 = 0.41 m relative to point A. Her centre of mass is found at point C, which has an x coordinate x2 = 1.01 m relative to point A.

4. [1pt]
Calculate to 4 sig.figs. the tension in the rope if the rope makes an angle of ? = 47° with respect to the horizontal.

5. [1pt]
What is the force of friction between her foot and the rock at point A? Include the appropriate sign in your answer to indicate the direction according to the usual sign conventions. Make sure to use 4 sig.figs. for the tension calculated above.

6. [1pt]
What is the minimum coefficient of static friction between her foot and the rock to prevent her from slipping?

Added by Esther M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Tarandeep Singh

10/21/2022

Step 1

First, we need to calculate the tension in the rope. The tension in the rope is the force that balances the weight of the climber. The weight of the climber is the mass times the acceleration due to gravity (9.8 m/s^2). So, the weight of the climber is 44.9 kg * Show more…

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A 44.9 kg mountain climber is rappelling down a steep mountain face. Her foot makes contact with the rock at point A. Her rope attaches to her harness at point B, which is located at x1 = 0.84 m and y1 = 0.41 m relative to point A. Her centre of mass is found at point C, which has an x coordinate x2 = 1.01 m relative to point A. 4. [1pt] Calculate to 4 sig.figs. the tension in the rope if the rope makes an angle of θ = 47° with respect to the horizontal. 5. [1pt] What is the force of friction between her foot and the rock at point A? Include the appropriate sign in your answer to indicate the direction according to the usual sign conventions. Make sure to use 4 sig.figs. for the tension calculated above. 6. [1pt] What is the minimum coefficient of static friction between her foot and the rock to prevent her from slipping?

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Transcript

00:01 So in this problem we have a mountaineer who is rappling at this side of a mountain.

00:07 This is the mountain surface.

00:10 And we are told that the harness of the rope that is being used is attaching to the harness of the person at point b.

00:19 Point c is the center of mass of the person.

00:22 And point a is the point where the foot, one foot of the person is in contact with the mountain surface.

00:28 We are given that the mass of the person is 44 point 9 kgis.

00:33 We are also told the distance of point a and b in the horizontal direction is x1.

00:39 And the vertical direction distance between a and b or a and c is y1.

00:45 B and c are in the same vertical or same horizontal line, sorry.

00:49 And the horizontal distance between a and c is x2.

00:52 And we are given these distances.

00:53 X1 is 084 meters.

00:56 Y1 is 0 .41 meters.

01:02 And x2, is 1 .01 meters.

01:07 We are also given the angle that the rope makes with the horizontal is theta and that is 47 degrees.

01:15 So with this we are supposed to first find the tension in the rope.

01:19 So let's mark all the forces that are there.

01:20 There's a weight force acting at point c.

01:26 There's a tension force in the rope which can be divided into two components...

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