Solve for and use the magnitude of the force of friction on Debbie and the tension in the rope to solve the problem. The bruin is hungrier than Sarita anticipated, and she decided she needs to pull harder, accelerating Debbie up the rocky slope. Sarita's rope can only manage a tension of 950N. What is the maximum acceleration Sarita can accomplish with this rope?

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Please see the image provided for context and solve the following problem:

Solve for and use the magnitude of the force of friction on Debbie and the tension in the rope to solve the problem. The bruin is hungrier than Sarita anticipated, and she decided she needs to pull harder, accelerating Debbie up the rocky slope. Sarita's rope can only manage a tension of 950N. What is the maximum acceleration Sarita can accomplish with this rope?

**Adventure in Shoshone National Forest**

Sarita and Debbie decided to take a few weeks to backpack through Shoshone National Forest (the United States' first National Forest). The Absaroka range is still home to the 70 mammal species that lived there prior to European settlement, including bighorn sheep, wolverines, and, since a successful reintroduction in the 1990's, the grey wolf.

It is also one of the few remaining regions of the lower 48 that still has a population of grizzly bears and, unfortunately, Debbie ends up tangling with a big one. Debbie will survive her injuries, but only if Sarita can pull her up Francs Peak.

The slope is steep, making an angle of θ = 40° with horizontal, and rough, with a coefficient of kinetic friction between Debbie and the dirt of μ<sub>k</sub> = 0.45. Sarita plans on pulling Debbie up with a constant velocity. It isn’t easy, since Debbie and all her gear have a mass of 90 kg.

**Diagram Description**: The image shows Sarita pulling Debbie up a hill that makes a 40-degree angle with the horizontal. Debbie is holding onto a rope, while a grizzly bear is at the bottom of the slope. The slope is depicted as a green hill with trees and other vegetation.
Transcribed Image Text:**Adventure in Shoshone National Forest** Sarita and Debbie decided to take a few weeks to backpack through Shoshone National Forest (the United States' first National Forest). The Absaroka range is still home to the 70 mammal species that lived there prior to European settlement, including bighorn sheep, wolverines, and, since a successful reintroduction in the 1990's, the grey wolf. It is also one of the few remaining regions of the lower 48 that still has a population of grizzly bears and, unfortunately, Debbie ends up tangling with a big one. Debbie will survive her injuries, but only if Sarita can pull her up Francs Peak. The slope is steep, making an angle of θ = 40° with horizontal, and rough, with a coefficient of kinetic friction between Debbie and the dirt of μ<sub>k</sub> = 0.45. Sarita plans on pulling Debbie up with a constant velocity. It isn’t easy, since Debbie and all her gear have a mass of 90 kg. **Diagram Description**: The image shows Sarita pulling Debbie up a hill that makes a 40-degree angle with the horizontal. Debbie is holding onto a rope, while a grizzly bear is at the bottom of the slope. The slope is depicted as a green hill with trees and other vegetation.
Expert Solution
Step 1: FBD and given values:

Physics homework question answer, step 1, image 1

theta equals 40 to the power of o
mu equals 0.45
M equals 90 space k g
F equals 950 space N

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